Chapter 5.7, Problem 16E

Let X equal the sum of $n=100$

Bernoulli trials. That is, Y is $b\left(100,p\right)$.

For each of (i) $p=0.1$ ,(ii) $p=0.5$, and (iii) $p=0.8$.

(a) Draw the approximating normal pdfs, all on the same graph.

(b) Find $P\left(\left|\frac{Y}{100-p}\right|\le 0.015\right)$, approximately.