The goal at U.S. airports handling international flights is to clear these flights within 45 minutes. Let's interpret this to mean that 95 percent of the flights are cleared in 45 minutes, so 5 percent of the flights take longer to clear. Let's also assume that the distribution is approximately normal.
(a) If the standard deviation of the time to clear an international flight is 5 minutes, what is the mean time to clear a flight? (Round your answer to 2 decimal places.)
(b) Suppose the standard deviation is 10 minutes, not the 5 minutes suggested in part
(c) A customer has 30 minutes from the time her flight lands to catch her limousine. Assuming a standard deviation of 10 minutes, what is the likelihood that she will be cleared in time? (Round your answer to 4 decimal places.)