A certain flight arrives on time 85 percent of the time. Suppose 173 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 162 flights are on time. ​(b) at least 162 flights are on time. ​(c) fewer than 148 flights are on time. ​(d) between 148 and 150​, inclusive are on time.