In a certain binomial distribution, π = 0.25 and n = 40, In using the normal approximation,
a. What are the mean and standard deviation of the corresponding normal distribution?
b. If the number of "successes" among the 40 observations, determine the following: P(x = 8), P(12 ≤ x ≤16), P(10≤ x ≤12), P(x ≥ 14).