Code-Example-007-01-Normal_Distribution_with_Scipy.ipynb

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   "metadata": {
    "id": "9GyIbvjaREZl"
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   "source": [
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
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     "data": {
      "text/plain": [
       "0.08075665923377107"
      ]
     },
     "execution_count": 2,
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   "source": [
    "# Calculate the probability for x=2800, mean=3500, sd=500\n",
    "\n",
    "# loc : array_like, optional\n",
    "#      location parameter (default=0)\n",
    "# scale : array_like, optional\n",
    "#        scale parameter (default=1)\n",
    "stats.norm.cdf(2800, loc=3500, scale=500)"
   ]
  },
  {
   "cell_type": "code",
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   "metadata": {
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     "text": [
      "Help on method cdf in module scipy.stats._distn_infrastructure:\n",
      "\n",
      "cdf(x, *args, **kwds) method of scipy.stats._continuous_distns.norm_gen instance\n",
      "    Cumulative distribution function of the given RV.\n",
      "    \n",
      "    Parameters\n",
      "    ----------\n",
      "    x : array_like\n",
      "        quantiles\n",
      "    arg1, arg2, arg3,... : array_like\n",
      "        The shape parameter(s) for the distribution (see docstring of the\n",
      "        instance object for more information)\n",
      "    loc : array_like, optional\n",
      "        location parameter (default=0)\n",
      "    scale : array_like, optional\n",
      "        scale parameter (default=1)\n",
      "    \n",
      "    Returns\n",
      "    -------\n",
      "    cdf : ndarray\n",
      "        Cumulative distribution function evaluated at `x`\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(stats.norm.cdf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
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    "id": "n4dLURsoRh8n",
    "outputId": "89f1c29b-369f-4fe2-c783-b022976560ba"
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9369916355360216"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.norm.cdf(1.53)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
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    "id": "mszgY9PiTxVP",
    "outputId": "9e1283d3-f349-4a24-fc28-bfa2729d1d67"
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.38292492254802624"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.norm.cdf(3750, loc=3500, scale=500) - stats.norm.cdf(3250, loc=3500, scale=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "7ni-AuJfVC4l",
    "outputId": "7154c04d-d1fc-4678-cc92-81480c173057"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2800.0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.norm.ppf(0.08075665923377107, loc=3500, scale=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "GnnAGFxuVDV_",
    "outputId": "ecc71043-8c16-4321-aced-17a1b8a122bd"
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3989422804014327"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.norm.pdf(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
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    "outputId": "21db7263-833e-41fc-df1b-3cfa5e31b19b"
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24197072451914337"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.norm.pdf(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "kwQxc_t7VyiF",
    "outputId": "11e4c40d-d044-40a8-c9d2-270b9bb47985"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "68.26894921370858"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# > 100 * (1 - 2 * pnorm(81, mean= 80, sd= 6/6 , lower.tail = F))\n",
    "# [1] 68.26895\n",
    "\n",
    "100 * (1- 2 * stats.norm.sf(81, loc= 80, scale=6/6 ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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