A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation 2.2 in. The survey also found that​ men's heights are normally distributed with mean 69.1 in. and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.6 in. Complete parts​ (a) through​ (c) below. a.) What percentage of adult men can fit through the door without​ bending? c.) What doorway height would allow​ 40% of men to fit without​ bending?

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A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation 2.2 in. The survey also found that​ men's heights are normally distributed with mean 69.1 in. and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.6 in.

Complete parts​ (a) through​ (c) below.

a.) What percentage of adult men can fit through the door without​ bending?

c.) What doorway height would allow​ 40% of men to fit without​ bending?

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