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Heights of adult males in the US are approximately normally distributed with mean 70 inches (5 ft 10 in) and standard deviation 3 inches: (a)

Heights of adult males in the US are approximately normally distributed with mean 70 inches (5 ft 10 in) and standard deviation 3 inches:

(a) What proportion of US men are between 5 ft 7.0 in and 6 ft 1.0 in tall ( 67.0 and 73.0 inches, respectively)?

(b) If a man is at the 14th percentile in height, how tall is he?

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