10. The average height of a woman aged 20-74 years is 162, 5cm. Suppose that the height is normally distributed with a standard deviation 5cm. (a) what is the probability a randomly selected woman in this population is between 155 and 175 centimeters? (b) Determine the height that is symmetric about the mean and includes 90% of population? (c) What is the probability that five women chosen randomly all exceed 172cm?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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10. The average height of a woman aged 20-74 years is 162, 5cm. Suppose that the height is normally
distributed with a standard deviation 5cm.
(a) what is the probability a randomly selected woman in this population is between 155 and 175
centimeters?
(b) Determine the height that is symmetric about the mean and includes 90% of population?
(c) What is the probability that five women chosen randomly all exceed 172cm?
Transcribed Image Text:10. The average height of a woman aged 20-74 years is 162, 5cm. Suppose that the height is normally distributed with a standard deviation 5cm. (a) what is the probability a randomly selected woman in this population is between 155 and 175 centimeters? (b) Determine the height that is symmetric about the mean and includes 90% of population? (c) What is the probability that five women chosen randomly all exceed 172cm?
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