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In: Statistics and Probability

): Let X be the arrival time of a plane in minutes after the scheduled arrival...

): Let X be the arrival time of a plane in minutes after the scheduled arrival time at the Detroit Metro terminal. Assume that X has an exponential distribution with mean equal 10 minutes. Determine:

(a) The probability that the plane arrives no later than 15 minutes late.

(b) The probability that the plane arrives between 10 and 15 minutes late.

(c) Assuming that the arrival times of the flight on different days is independent, determine the probability that the flight arrives less than 10 minutes late on two or more days out of 5.

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