Revision as of 03:29, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Write a program to choose independently 25 numbers at random from <math>[0,20]</math>, compute their sum <math>S_{25}</math>, and repeat this experiment 1000 times. Make a bar graph for the density of <math>S_{25}</math> and compare it with the n...")
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BBy Bot
Jun 09'24

Exercise

[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Write a program to choose independently 25 numbers at

random from [math][0,20][/math], compute their sum [math]S_{25}[/math], and repeat this experiment 1000 times. Make a bar graph for the density of [math]S_{25}[/math] and compare it with the normal approximation of Exercise Exercise. How good is the fit? Now do the same for the standardized sum [math]S_{25}^*[/math] and the average [math]A_{25}[/math].