Find probability to fit through doorway without bending

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The Boeing 757-200 ER airliner casrries 200 passengers and has main entry doors with a height of 72 inches. Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 in.

If a malepassenger is randomly selected, find the probability that he can fit through the doorway without bending.

How tall would the door need to be if Boeing wanted to ensure 95% of men could fit through the door without bending?

Reference no: EM13130416

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