In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a standard deviation of two inches. • What is the probability that a randomly selected woman in this population is between 64 inches and 70 inches? What is the probability that one woman selected at random from this population all exceed 70 inches?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of
approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a
standard deviation of two inches.
• What is the probability that a randomly selected woman in this population is between 64
inches and 70 inches?
What is the probability that one woman selected at random from this population all
exceed 70 inches?
O a. NONE
O b.0.9973, 6.0942 x 10-9
c. 0.4987, 0.0013
d. 0.9973, 0.0228
Transcribed Image Text:In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a standard deviation of two inches. • What is the probability that a randomly selected woman in this population is between 64 inches and 70 inches? What is the probability that one woman selected at random from this population all exceed 70 inches? O a. NONE O b.0.9973, 6.0942 x 10-9 c. 0.4987, 0.0013 d. 0.9973, 0.0228
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