A certain flight arrives on time 89 percent of the time. Suppose 114 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 99 flights are on time. (b) at least 99 flights are on time. (c) fewer than 97 flights are on time. (d) between 97 and 99 inclusive are on time.

round to 4 decimals.