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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
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:A4384d1a48 |Exercise]].  How good is the fit?  Now
normal approximation of Exercise [[exercise:A4384d1a48 |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>.
do the same for the standardized sum <math>S_{25}^*</math> and the average <math>A_{25}</math>.

Latest revision as of 00:18, 15 June 2024

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].