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A menswear manufacturer knows that the height of all men is normal with a mean of 69 inches and a standard deviation of 3 inches.

A menswear manufacturer knows that the height of all men is normal with a mean of 69 inches and a standard deviation of 3 inches.

a) What proportion of all men have a height between 69 and 74 inches?

b) What proportion of all men have a height between 67 and 74 inches?

c) What is the 95th (and 99th) percentile of all men's heights?

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