An airliner carries 100 passengers and has doors with a height of 72 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 enter your response here. ​(Round to four decimal places as​ needed.)

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