Can you help me solve the following problem with detailed explanation of the steps:

1.A certain flight arrives on time 84 percent of the time. Suppose 119 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

(a) exactly 96 flights are on time.

(b) at least 96 flights are on time.

(c) fewer than 106 flights are on time.

(d) between 106 and 108, inclusive are on time.