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An airliner carries 50 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0

An airliner carries 50 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 randomlyselected, find the probability that he can fit through the doorway without bending.

The probability is

b) If half of the 50 passengers aremen, find the probability that the mean height of the 25 men is less than 78 in.

The probability is

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