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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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.

  1. (a)  what is the probability a randomly selected woman in this population is between 155 and 175 centimeters?

  2. (b)  Determine the height that is symmetric about the mean and includes 90% of population?

  3. (c)  What is the probability that five women chosen randomly all exceed 172cm?

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