a) If a man is 75 inches (6 feet 3 inches) tall, what is his z-score (to two decimal places)?     Recall: z = x−μσx-μσ   z =  b) What percentage of men are SHORTER than 75 inches (6 feet 3 inches)? Round to nearest tenth of a percent. ______% c) If a woman is 71 inches (5 feet 11 inches tall), what is her z-score (to two decimal places)? z =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.56 inches.
a) If a man is 75 inches (6 feet 3 inches) tall, what is his z-score (to two decimal places)?

    Recall: z = x−μσx-μσ  

z = 

b) What percentage of men are SHORTER than 75 inches (6 feet 3 inches)? Round to nearest tenth of a percent.

______%

c) If a woman is 71 inches (5 feet 11 inches tall), what is her z-score (to two decimal places)?
z =

d) What percentage of women are TALLER than 71 inches (5 feet 11 inches)? Round to nearest tenth of a percent.
________%

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