Introduction to Probability · Problem 9.3.4

Generating Functions — Grinstead & Snell

Mathematics — Probability · central-limit-theorem-continuous

Problem

Suppose we choose independently 25 numbers at random (uniform density) from the interval

[0, 20]

. Write the normal densities that approximate the densities of their sum

S_{25}

, their standardized sum

S^*_{25}

, and their average

A_{25}