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 probability distribution 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?
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 probability distribution
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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