The doorway of a specific style house is 71 inches. Men’s heights are normally distributed with...

The doorway of a specific style house is 71 inches. Men’s heights are normally distributed with a μ of 68.4 inches and σ of 1.9 inches. Women’s heights are normally distributed with a μ of 64.8 inches and a σ of 2.6 inches.

A. Determine the probability that a man can go through the doorway without bending.

B. Determine the probability that a woman can go through the doorway without bending.

C. Determine the probability that a sample of 9 men will have a μ> 71 inches.

D. Determine the probability that a sample of 16 women will have a μ > 71 inches.

E. Explain what all this means

Expert Solution

all probability are calculated using normal distribution calculator

orchestra answered 2 years ago

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The doorway of a specific style house is 71 inches. Men’s heights are normally distributed with...

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