Introduction to Probability · Problem 9.3.5

Generating Functions — Grinstead & Snell

Mathematics — Probability · central-limit-theorem-continuous

Problem

Write a program to choose independently 25 numbers at random from

[0, 20]

, compute their sum

S_{25}

, and repeat this experiment 1000 times. Make a bar graph for the density of

S_{25}

and compare it with the normal approximation of Exercise 4. How good is the fit? Now do the same for the standardized sum

S^*_{25}

and the average

A_{25}