Probabilidade.ipynb

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  "metadata": {
    "colab": {
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      "include_colab_link": true
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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/miller00315/ia_studies/blob/main/Probabilidade.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WnG17bPMPsXC"
      },
      "source": [
        "# Probabilidade"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VN2wxPVyi4pa"
      },
      "source": [
        "## Importações"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5mU_frgSdSPB"
      },
      "source": [
        "import numpy as np\n",
        "from scipy import stats\n",
        "import seaborn as sns"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AEJmt2ixPusB"
      },
      "source": [
        "## Permutação"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EiJUzpLA2eSJ"
      },
      "source": [
        "import math"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jr0Yxwkw2gh8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "4155c4e9-7578-4467-8113-384a1cacfde6"
      },
      "source": [
        "math.factorial(3)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6c3VT4oo3Gzw",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "1dfab60b-d21a-4731-82e9-a19658318c33"
      },
      "source": [
        "math.factorial(36) / math.factorial(36 - 5)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "45239040.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "C0zvm5se3mSr",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "f4757dee-5d2f-4f82-fee5-25708051c15f"
      },
      "source": [
        "math.pow(36, 5)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "60466176.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QDizneKGSQ7_"
      },
      "source": [
        "## Combinação"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_5-w97Gm4fW3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "d6927c25-6dbc-434f-d856-53446e1b67bc"
      },
      "source": [
        "math.factorial(6) / (math.factorial(2) * math.factorial(6 - 2))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "15.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hEDn2lJr4081",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "638e8e86-f17f-414e-bf5c-70c81f273c5b"
      },
      "source": [
        "math.factorial(6 + 2 - 1) / (math.factorial(2) * math.factorial(6 - 1))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "21.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rjzVj9LMwpKI"
      },
      "source": [
        "## Interseção, união e diferença"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fSWGvSI86l9h"
      },
      "source": [
        "a = (0,1,2,3,4,5,6,7)\n",
        "b = (0,2,4,6,8)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PVq0TArlw6kl"
      },
      "source": [
        "### Interseção"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WR1fr61E6ubA",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "8cf6deef-9c2d-48fc-a8b6-405818fc5390"
      },
      "source": [
        "set(a) and set(b)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{0, 2, 4, 6, 8}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gmBXJGnRxWq3"
      },
      "source": [
        "### União"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VND-Ok7V63Gl",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "c994c210-0e18-4ebe-e764-3910ec540a2c"
      },
      "source": [
        "set(a) | set(b)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{0, 1, 2, 3, 4, 5, 6, 7, 8}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "w2WYy99Vxcif"
      },
      "source": [
        "### Diferença"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4T6hS4YE6_6h",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "0b077241-77a3-480c-fbb2-dfbb846adbb0"
      },
      "source": [
        "set(a).difference(set(b))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{1, 3, 5, 7}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "imQUwyi07INs",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "b1c1b522-93b7-42b4-a53c-1b66a9fe4471"
      },
      "source": [
        "set(b).difference(set(a))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{8}"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "41Peje9kdJya"
      },
      "source": [
        "## Probabilidade e distribuição normal\n",
        "\n",
        "- https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.norm.html"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ETnewxE8dMkE"
      },
      "source": [
        "dados = np.array([126. , 129.5, 133. , 133. , 136.5, 136.5, 140. , 140. , 140. ,\n",
        "                  140. , 143.5, 143.5, 143.5, 143.5, 143.5, 143.5, 147. , 147. ,\n",
        "                  147. , 147. , 147. , 147. , 147. , 150.5, 150.5, 150.5, 150.5,\n",
        "                  150.5, 150.5, 150.5, 150.5, 154. , 154. , 154. , 154. , 154. ,\n",
        "                  154. , 154. , 154. , 154. , 157.5, 157.5, 157.5, 157.5, 157.5,\n",
        "                  157.5, 157.5, 157.5, 157.5, 157.5, 161. , 161. , 161. , 161. ,\n",
        "                  161. , 161. , 161. , 161. , 161. , 161. , 164.5, 164.5, 164.5,\n",
        "                  164.5, 164.5, 164.5, 164.5, 164.5, 164.5, 168. , 168. , 168. ,\n",
        "                  168. , 168. , 168. , 168. , 168. , 171.5, 171.5, 171.5, 171.5,\n",
        "                  171.5, 171.5, 171.5, 175. , 175. , 175. , 175. , 175. , 175. ,\n",
        "                  178.5, 178.5, 178.5, 178.5, 182. , 182. , 185.5, 185.5, 189., 192.5])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7XxtDthfHm8Q",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 285
        },
        "outputId": "90ce98d8-f1bf-4b6d-8eff-d66e941ded5e"
      },
      "source": [
        "sns.distplot(dados);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rCcV31SsH9ak",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "c566d7e3-b1b0-4e75-ba3d-b015563f298a"
      },
      "source": [
        "media = np.mean(dados)\n",
        "desvio_padrao = np.std(dados)\n",
        "media, desvio_padrao"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(159.25, 13.65)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GjYpLIT_IKHI",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "ee09c087-3f3c-40c5-f70d-5ea77ef09eda"
      },
      "source": [
        "np.quantile(dados, [0.25, 0.50, 0.75])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([150.5 , 159.25, 168.  ])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CKW7Fregd1LF"
      },
      "source": [
        "### Calcular a probabilidade de selecionar uma pessoa em Q1"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JMVXF36PIesF",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "f1ddb1cd-11a3-4ec6-c687-ac1b7c7552bb"
      },
      "source": [
        "(150.5 - media) / desvio_padrao"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "-0.641025641025641"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "smcLpds6JeHZ"
      },
      "source": [
        "0.26109"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HOAbK1rTMzfM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "7d5f95a3-7068-4cc0-88d1-a4275292edfe"
      },
      "source": [
        "stats.norm.cdf(150.5, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.26075301195608336"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sOBWHav0f4XF"
      },
      "source": [
        "### Calcular a probabilidade de selecionar uma pessoa em Q3"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "evKG6H16Jv_b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "2f2bd53c-7972-45df-91e3-4dd1a5e0b65c"
      },
      "source": [
        "(168 - media) / desvio_padrao"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.641025641025641"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gMQfz_z_J90U"
      },
      "source": [
        "0.73891"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "29t5vE_LKHq3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "8dbbe9f6-7423-4e6d-f52e-d7d17f4ca31e"
      },
      "source": [
        "1 - 0.73891"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.26109000000000004"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XDUJF8WZNE-9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "93c7118d-8aba-4379-c04c-89139f41beca"
      },
      "source": [
        "1 - stats.norm.cdf(168, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.26075301195608336"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yGR4hjW3NT_D",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "41dace31-16c3-4078-ee53-e8f29a455cca"
      },
      "source": [
        "stats.norm.sf(168, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.26075301195608336"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-kqXB3cghQ14"
      },
      "source": [
        "### Calcular a probabilidade de selecionar uma pessoa entre Q2 e Q3"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GhkqaAeBKj49",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "c5626ed7-729f-4047-c379-0a96d394a014"
      },
      "source": [
        "(168 - media) / desvio_padrao"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.641025641025641"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8rSvAyHAKpB_"
      },
      "source": [
        "0.73891"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pbG2m85IK5sD",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "ec4e43fb-28d9-452a-bbe4-fe115dd7cf77"
      },
      "source": [
        "(159.25 - media) / desvio_padrao"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VMk86rJXLE1l"
      },
      "source": [
        "0.50"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5D62QVdQLMIg",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "77b75652-489e-4ce3-e38c-d97532997beb"
      },
      "source": [
        "0.73891 - 0.50"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.23890999999999996"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sptRhEPvNm0t",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "662a8167-9976-49b4-af9f-fe773e40d6b6"
      },
      "source": [
        "stats.norm.cdf(168, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.7392469880439166"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9K0DxKjKNsph",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "47472b9b-1404-4a1a-da45-6c9b982b6dbb"
      },
      "source": [
        "stats.norm.cdf(159.25, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.5"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tBicSKquNyMl",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "e98600c6-a95a-47d4-ca98-41dcc6f0faf9"
      },
      "source": [
        "stats.norm.cdf(168, media, desvio_padrao) - stats.norm.cdf(159.25, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.23924698804391664"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HRvvngMAofQi"
      },
      "source": [
        "### Calcular a probabilidade de selecionar uma pessoa em Q1 ou Q3"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UC-j2gwvLbEK",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "ec116e31-f16d-4d42-ae52-8e85f2e60011"
      },
      "source": [
        "0.26109 + 0.26109"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.52218"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gY73bwJcpquV"
      },
      "source": [
        "### Calcular a probabilidade de não selecionar uma pessoa em Q1 ou Q3"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6amHRxSZLuer",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "ad59813e-f760-426b-a666-547d1bdebd94"
      },
      "source": [
        "1 - 0.52218"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.47782"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mxblw-KwtijT"
      },
      "source": [
        "### Exercício 1\n",
        "\n",
        "- Uma empresa fez um concurso para seleção de novos funcionários. A prova tinha 50 questões e o Pedro acertou 40 questões. Considerando uma distribuição normal com média 24 e desvio padrão de 8, quais são as chances dele ser contratado?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ySddRz-0t8Yq"
      },
      "source": [
        "X = 40\n",
        "media = 24\n",
        "desvio_padrao = 8"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ATev0QZquDe9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "baf8c772-3723-4053-9f5e-2839ddbb1c8d"
      },
      "source": [
        "padronizado = (X - media) / desvio_padrao\n",
        "padronizado"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 64
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ImGJvr5suPX-"
      },
      "source": [
        "0.97725"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cM8z6NMZuqXT",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "b898a5f0-9051-4519-bb10-b8505fe8724f"
      },
      "source": [
        "stats.norm.cdf(1.68)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.9535213421362799"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 66
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ke5RlnKjuyGq",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "0c61f69b-2307-4031-b59d-91859d840f3d"
      },
      "source": [
        "stats.norm.ppf(0.9535213421362799)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "1.68"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 42
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KhsYaoCDuQ5Q",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "68dae918-71d2-4038-f4a1-30e419acfa75"
      },
      "source": [
        "stats.norm.cdf(X, media, desvio_padrao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.9772498680518208"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lDooGDk_u9te"
      },
      "source": [
        "### Exercício 2\n",
        "\n",
        "- A vida útil de uma marca de pneus é representada por uma distribuição normal com média de 38.000 Km e desvio padrão de 3.000 Km\n",
        "\n",
        "1.   Qual a probabilidade de que um pneu escolhido aleatoriamente tenha vida útil de 35.000 Km?\n",
        "2.   Qual a probabilidade de que ele dure mais do que 44.000 Km?\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tycsxFW4wEW9"
      },
      "source": [
        "#### Questão 1"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3xXfVFimvb9P",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "2087675f-97d6-4222-c4fd-dc674ea60691"
      },
      "source": [
        "1 - stats.norm.cdf(35000, 38000, 3000)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.8413447460685429"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 45
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d9boMMEmv5cy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "79378013-f1b3-43d0-b62b-fc06000ccfa5"
      },
      "source": [
        "stats.norm.sf(35000, 38000, 3000)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.8413447460685429"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 46
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Yl7mp1CkwIsa"
      },
      "source": [
        "#### Questão 2"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "n6uTSEO8wKQL",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "10bc4963-981b-40fa-e64b-df5efe3ce931"
      },
      "source": [
        "1 - stats.norm.cdf(44000, 38000, 3000)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.02275013194817921"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jQ0BpppXwTQK",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "9041f2f7-c33c-4bbf-bc4f-965c5d0e5aa1"
      },
      "source": [
        "stats.norm.sf(44000, 38000, 3000) * 100"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.2750131948179195"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 48
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rM55aoLUAB1z"
      },
      "source": [
        "## Probabilidade e distribuição binomial\n",
        "\n",
        "- https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.binom.html#scipy.stats.binom"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "R1GvBu2tAHeg"
      },
      "source": [
        "### Exemplo das moedas\n",
        "\n",
        "- Jogando a moeda 10 vezes, qual a probabilidade de obter 5 \"caras\"?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xBpWBSR_D9nO"
      },
      "source": [
        "n = 10\n",
        "x = 5\n",
        "p = 0.5"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "umu8c83XEFPi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "24077df5-4001-499c-ee5c-b74d542e0f42"
      },
      "source": [
        "import math\n",
        "(math.factorial(n)) / (math.factorial(x) * math.factorial(n - x)) * math.pow(p, x) * math.pow(1 - p, n - x)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.24609375"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xqkXWV4GExt5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "f4009ee8-9d68-45c9-8f7b-eee5942155c5"
      },
      "source": [
        "stats.binom.pmf(x, n, p)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.24609375000000025"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OpSKRl6nAL18"
      },
      "source": [
        "### Exercício 1\n",
        "\n",
        "- 70% das pessoas que compraram o livro de Python são mulheres. Se 10 leitores forem selecionados randomicamente, qual a probabilidade de selecionarmos 7 mulheres?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Xny1sUr2ANx-"
      },
      "source": [
        "n = 10\n",
        "x = 7\n",
        "p = 0.7"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RL3GxQDgAPOq",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "1b42138d-ec0b-47c0-eafe-396b66a583cd"
      },
      "source": [
        "stats.binom.pmf(x, n, p)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.26682793200000016"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "IAY-YuWTARnE"
      },
      "source": [
        "### Exercício 2\n",
        "\n",
        "- Em uma linha de produção de uma fábrica de parafusos, a probabilidade de obter um parafuso defeituoso é 0,05. Tendo uma amostra de 50 peças, qual a probabilidade de obter\n",
        "\n",
        "1.   Um parafuso defeituoso\n",
        "2.   Nenhum parafuso defeituoso"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ny0Vglv_AV0I"
      },
      "source": [
        "#### Questão 1"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YTMuUfEfAXbD"
      },
      "source": [
        "n = 50\n",
        "x = 1\n",
        "p = 0.05"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fJfwHUGYAYsv",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "980f4e15-18f6-4e96-a788-9ff8f86bebb4"
      },
      "source": [
        "stats.binom.pmf(x, n, p)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.20248677704398393"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gSxfyMArAaoZ"
      },
      "source": [
        "#### Questão 2"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CfA1CckPAcNO"
      },
      "source": [
        "n = 50\n",
        "x = 0\n",
        "p = 0.05"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4ygrnZuyAdce",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "d47fff13-cb98-4ba1-dc18-b5cb1cda1a5e"
      },
      "source": [
        "stats.binom.pmf(x, n, p)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0769449752767133"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-ZUN5ieXGSzk"
      },
      "source": [
        "## Probabilidade e distribuição de Poisson\n",
        "\n",
        "- https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.poisson.html"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U2fnkmZBGWch"
      },
      "source": [
        "### Exemplo dos carros\n",
        "\n",
        "- O número médio de carros vendidos por dia é 10. Qual a probabilidade de vender 14 carros amanhã?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9yZG4BMFHlcC"
      },
      "source": [
        "x = 14\n",
        "media = 10"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZfDxtuB8HpMa",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "ddcbd19d-c2c8-4061-fc22-0bcc3ad9a62e"
      },
      "source": [
        "math.e"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.718281828459045"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fJEi5TPIHs4V",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "1e9d9ee5-1e02-44b0-d2f1-2e7163c4e586"
      },
      "source": [
        "math.pow(math.e, -media) * (math.pow(media, x) / math.factorial(x)) * 100"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "5.207710444602621"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "C7T0FIl-IVds",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "8cb1e4b9-38dd-466f-824f-88fa4c93dbb7"
      },
      "source": [
        "stats.poisson.pmf(x, media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.05207710444602615"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PPb2aSXOIpwl"
      },
      "source": [
        "### Exercício 1\n",
        "\n",
        "- Em uma linha de produção de uma fábrica de parafusos, a probabilidade é de obter 0,05 defeitos por UNIDADE. Qual a probabilidade de uma unidade apresentar:\n",
        "\n",
        "1.   Um defeito\n",
        "2.   Nenhum defeito"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TT5wf53EIsXm"
      },
      "source": [
        "#### Questão 1"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QWYlTjtdIul6"
      },
      "source": [
        "x = 1\n",
        "media = 0.05"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TSRGX-F0IwBp",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "12b0d20b-bd16-4d16-b518-0468f0026bec"
      },
      "source": [
        "stats.poisson.pmf(x, media) * 100"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4.756147122503571"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4AYL5-nTIyc6"
      },
      "source": [
        "#### Questão 2"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dyvm1oQgI0Fq"
      },
      "source": [
        "x = 0\n",
        "media = 0.05"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kNvZ0pb8I1oi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "1a98573a-5d8c-4c8a-8c57-d01a756f094b"
      },
      "source": [
        "stats.poisson.pmf(x, media) * 100"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "95.1229424500714"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zOWT4LYiI532"
      },
      "source": [
        "### Exercício 2\n",
        "\n",
        "- Um vendedor de uma loja vende em média 50 produtos por dia. Qual a probabilidade de vender somente 5 produtos no próximo dia?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5vMAviBmI7oF"
      },
      "source": [
        "x = 5\n",
        "media = 50"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GG8zKstlI9F6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "cda22da2-c784-45cb-9294-0bde2fe6075a"
      },
      "source": [
        "stats.poisson.pmf(x, media)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "5.02278606240605e-16"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 45
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LsU42k0cKRNV"
      },
      "source": [
        "## Previsão de probabilidades em machine learning"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bkOhuihLKSJR",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 228
        },
        "outputId": "0f534f1f-65ff-41c1-be24-1abe90f261aa"
      },
      "source": [
        "import pandas as pd\n",
        "dataset = pd.read_csv('credit_data.csv')\n",
        "dataset.dropna(inplace=True)\n",
        "dataset.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>i#clientid</th>\n",
              "      <th>income</th>\n",
              "      <th>age</th>\n",
              "      <th>loan</th>\n",
              "      <th>c#default</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>1</td>\n",
              "      <td>66155.925095</td>\n",
              "      <td>59.017015</td>\n",
              "      <td>8106.532131</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2</td>\n",
              "      <td>34415.153966</td>\n",
              "      <td>48.117153</td>\n",
              "      <td>6564.745018</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>3</td>\n",
              "      <td>57317.170063</td>\n",
              "      <td>63.108049</td>\n",
              "      <td>8020.953296</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>4</td>\n",
              "      <td>42709.534201</td>\n",
              "      <td>45.751972</td>\n",
              "      <td>6103.642260</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>5</td>\n",
              "      <td>66952.688845</td>\n",
              "      <td>18.584336</td>\n",
              "      <td>8770.099235</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   i#clientid        income        age         loan  c#default\n",
              "0           1  66155.925095  59.017015  8106.532131          0\n",
              "1           2  34415.153966  48.117153  6564.745018          0\n",
              "2           3  57317.170063  63.108049  8020.953296          0\n",
              "3           4  42709.534201  45.751972  6103.642260          0\n",
              "4           5  66952.688845  18.584336  8770.099235          1"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 46
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y_2Krt3jKVTs",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 160
        },
        "outputId": "c996f1f0-6f30-4816-cd80-90692ab84069"
      },
      "source": [
        "X = dataset.iloc[:,1:4].values\n",
        "X"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[6.61559251e+04, 5.90170151e+01, 8.10653213e+03],\n",
              "       [3.44151540e+04, 4.81171531e+01, 6.56474502e+03],\n",
              "       [5.73171701e+04, 6.31080495e+01, 8.02095330e+03],\n",
              "       ...,\n",
              "       [4.43114493e+04, 2.80171669e+01, 5.52278669e+03],\n",
              "       [4.37560566e+04, 6.39717958e+01, 1.62272260e+03],\n",
              "       [6.94365796e+04, 5.61526170e+01, 7.37883360e+03]])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hlW_N9FoKW34",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "0bbb13ba-8c32-4d1c-ed49-510afcf450ff"
      },
      "source": [
        "y = dataset.iloc[:,4].values\n",
        "y"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 0, 0, ..., 1, 0, 0])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 48
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XLwe331OKYeq",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "a4cf8a0e-dbd4-4bd9-94a7-00edfb164f38"
      },
      "source": [
        "from sklearn.naive_bayes import GaussianNB\n",
        "naive_bayes = GaussianNB()\n",
        "naive_bayes.fit(X, y)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "GaussianNB(priors=None, var_smoothing=1e-09)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zO8a1v8iKaTa",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "9c12534a-b0a7-46bd-d5f0-3bd7458e014a"
      },
      "source": [
        "X[0], X[0].shape"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(array([6.61559251e+04, 5.90170151e+01, 8.10653213e+03]), (3,))"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lixqV7KQKby9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "4e1cc56f-61df-43be-ca5f-31553c5a94ae"
      },
      "source": [
        "novo = X[0].reshape(1,-1)\n",
        "novo.shape"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1, 3)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 57
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "G4EfDifZKdP9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "26e64260-368e-4544-d7c9-4f425f47549e"
      },
      "source": [
        "novo"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[6.61559251e+04, 5.90170151e+01, 8.10653213e+03]])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 58
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "36yItUpaKevn",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "f131366c-a65e-4088-bb9e-f5ed69133354"
      },
      "source": [
        "naive_bayes.predict(novo)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wVWYLwYQKgKG",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "6a19d430-9d05-4af4-9f2b-6427682db5ad"
      },
      "source": [
        "previsao = naive_bayes.predict_proba(novo)\n",
        "previsao"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1.00000000e+00, 2.03924534e-10]])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 60
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Bb1pAe0lKhkY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 55
        },
        "outputId": "b9fd09d0-4cae-4469-fe43-cab1734e1099"
      },
      "source": [
        "np.argmax(previsao)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 61
        }
      ]
    }
  ]
}