You are flying from New York to San Francisco and must change planes in Omaha. The New
York to Omaha flight is scheduled to arrive at 9:00 PM. You hold a reservation for a flight that
leaves promptly at 10:00 PM, and the only other flight out of Omaha that evening leaves
promptly at 10:30. While on the flight to Omaha, you read that your airline has been cited by the
FAA because the arrival times of its New York to Omaha flight have a
which is normal with mean debarkation time 9:15 and standard deviation of 30 minutes. Assume
that you have no baggage and that changing flights takes no time.
(a) What is the probability that you make the 10:00 connection?
(b) What is the probability that you miss the 10:00 connection, but make the 10:30
connection?
(c) What is the probability that you spend the night in Omaha?
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