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
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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?
a. NONE
b.0.9973, 0.0228
C. 0.9973, 6.0942 x 10-9
d. 0.4987, 0.0013
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? a. NONE b.0.9973, 0.0228 C. 0.9973, 6.0942 x 10-9 d. 0.4987, 0.0013
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