. Find the probability that his height is less than 66 inches. .Find the probability that his height is between 66 and 72 inches. . Find the probability that his height is more than 72 inches.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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4. A survey was conducted to measure the height of U.S. men. In the survey,
respondents were grouped by age. In the 20-29 age group, the heights were normally
distributed, with a mean of 68.6 inches and a standard deviation of 3 inches. A study
participant is randomly selected.
a. Find the probability that his height is less than 66 inches.
b. Find the probability that his height is between 66 and 72 inches.
c. Find the probability that his height is more than 72 inches.
For Problem 5, find the indicated z-score and sketch the curve.
5. Find the z-score for whieh 80% of the distribution's area lies between -z and z.
Page
1 5
&
6
Transcribed Image Text:4. A survey was conducted to measure the height of U.S. men. In the survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed, with a mean of 68.6 inches and a standard deviation of 3 inches. A study participant is randomly selected. a. Find the probability that his height is less than 66 inches. b. Find the probability that his height is between 66 and 72 inches. c. Find the probability that his height is more than 72 inches. For Problem 5, find the indicated z-score and sketch the curve. 5. Find the z-score for whieh 80% of the distribution's area lies between -z and z. Page 1 5 & 6
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