A survey of a group of men, the heights in the 20-29 age group were normally dis

Question

A survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean 69.8 inches and of a standard deviation a) Find the probability that a study participant has a height that is less than 65 inches. The probability that the study participant selected at random is less than 65 inches tall is 00081. (Round to four decimal places as needed) b) Find the probability that a study participant has a height that is between 65 and 71 inches. The probability that the study participant selected at random is between 65 and 71 inches tall s 0 7175. (Round to four decimal places as needed. (c) Find the probability that a study participant has a height that is more than 71 inches. The probability that the study participant selected at random is more than 71 inches tall is L (Round to four decimal places as needed.)

Explanation / Answer

The probability that a participant selected at random is more than 71 inches is given by

1- (Prob.that partiipant is less than 65 inches +Prob.that participant is between 65 and 71 inches)

=1-(0.0081+0.7175)

=1-0.7256

=0.2744

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