Question: In a certain binominal distribution, TT = 0.20 and n= 30. 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 30 observations, determine the following: P(x = 5), P(4≤ x ≤ 7), P( 1 ≤ x ≤ 5), P (x ≥ 7).