# Question: In a certain binomial distribution 0 25 and n

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 x = 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).

a. What are the mean and standard deviation of the corresponding normal distribution?

b. If x = 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).

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