The height of women ages​ 20-29 is normally​ distributed, with a mean of 64.5 inches. Assume σ=2.6 inches. Are you more likely to randomly select 1 woman with a height less than 65.2 inches or are you more likely to select a sample of 28 women with a mean height less than 65.2 ​inches? Explain. (a) What is the probability of randomly selecting 1 woman with a height less than 65.9 ​inches? (b) What is the probability of randomly selecting 1 woman with a height greater than 65.9 inches.

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 height of women ages​ 20-29 is normally​ distributed, with a mean of 64.5 inches. Assume σ=2.6 inches. Are you more likely to randomly select 1 woman with a height less than 65.2 inches or are you more likely to select a sample of 28 women with a mean height less than 65.2 ​inches? Explain.

(a) What is the probability of randomly selecting 1 woman with a height less than 65.9 ​inches?

(b) What is the probability of randomly selecting 1 woman with a height greater than 65.9 inches.

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