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An airliner carries 400 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0

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An airliner carries 400 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending The probability is (Round to four decimal places as needed.)

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