A certain flight arrives on time 89 percent of the time. Suppose 186 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 172 flights are on time. (b) at least 172 flights are on time. (c) fewer than 175 flights are on time. (d) between 175 and 179, inclusive are on time. (a) P(172)=(Round to four decimal places as needed.)​