7.97 Suppose that x has a binomial distribution with n 5 50 and p 5 .6, so that m 5 np 5 30 and s 5

Ïnps12pd 5 3.4641. Approximate the following probabilities using the normal approximation with the continuity correction. (Hint: See Example 7.35.)

a. P(x 5 30)

b. P(x 5 25)

c. P(x # 25)

d. P(25 # x # 40)

e. P(25 , x , 40) (Hint: 25 , x , 40 is the same as 26 # x # 39.)