{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Homework 3.3: Distributions and their tails (10 pts)\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Say I have three distributions with parameter values as follows (using the parametrizations of the Distribution Explorer).\n", "\n", "- Exponential, β=1\n", "- Normal, μ=1, σ=1\n", "- Cauchy, µ=1, σ=1\n", "\n", "**a)** Say I draw numbers out of each of these distributions. Rank order the distributions, lowest to highest, in terms of how likely I am do draw a number greater than 10. Do not calculate anything to answer this question.\n", "\n", "**b)** Now draw a million numbers out of each of the three distributions. Which, if any, had numbers greater than ten? Does this match your intuition from part (a)?" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }