In a certain binomial distribution, = 0.30 and n = 20. In using the normal approximation,

Question:

In a certain binomial distribution, π = 0.30 and n = 20. In using the normal approximation,
a. What are the mean and standard deviation of the corresponding normal distribution?
b. If x = the number of “successes” among the 20 observations, determine the following: P(x = 5), P(4 ≤ x ≤ 7), P(1 ≤ x ≤ 5), P(x ≥ 7).