many biological random variables that can be modeled by the normal distribution. Assume the heights of men have a mean of 69 inches with a standard deviation of 3.5 inches. a. What proportion of all men will be taller than 6'0"? (HINT: Convert the measurements to inches.) b. What is the probability that a randomly selected man will be between 5'8" and 6'1" tall? c. President George W. Bush is 5'11" tall. Is this an

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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6.19 Human Heights Human heights are one of
many biological random variables that can be modeled
by the normal distribution. Assume the heights of men
have a mean of 69 inches with a standard deviation of
3.5 inches.
a. What proportion of all men will be taller than 6'0"?
(HINT: Convert the measurements to inches.)
b. What is the probability that a randomly selected
man will be between 5'8" and 6'1" tall?
c. President George W. Bush is 5'11" tall. Is this an
unusual height?
d. Of the 42 presidents elected from 1789 through
2006, 18 were 6'0" or taller.' Would you consider
this to be unusual, given the proportion found in
part a?
Transcribed Image Text:6.19 Human Heights Human heights are one of many biological random variables that can be modeled by the normal distribution. Assume the heights of men have a mean of 69 inches with a standard deviation of 3.5 inches. a. What proportion of all men will be taller than 6'0"? (HINT: Convert the measurements to inches.) b. What is the probability that a randomly selected man will be between 5'8" and 6'1" tall? c. President George W. Bush is 5'11" tall. Is this an unusual height? d. Of the 42 presidents elected from 1789 through 2006, 18 were 6'0" or taller.' Would you consider this to be unusual, given the proportion found in part a?
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