Totals Instead of Averages: Airplane Takeoff Time The taxi and takeoff time for commercial jets is a

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Totals Instead of Averages: Airplane Takeoff Time The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.5 minutes and a standard deviation of 2.5 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after another, and that they take off one at a time on a given runway. What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be

(a) less than 320 minutes?

(b) more than 275 minutes?

(c) between 275 and 320 minutes?

Hint: See Problem 21.

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