Chapter 14, Problem 14.43E

(a)

To determine

To check: Whether the given distribution satisfies the range rule of thumb for the use of normal approximation or not.

(b)

To determine

To find: The normal approximation of the probability $P\left(X\ge 23\right)$

(c)

To determine

To find: The normal approximation of the probability $P\left(X\ge 23\right)$ using the continuity correction.