Question 3 Suppose that the height, in inches, of a 22-year-old man is a normal random variable with mean 71 and variance 6.25. 1.  What percentage of 22-year-old man are over 74 inches tall? 2.  What percentage of 22-year-old men in the 72-inch club (no one below 72 inches) are over 77 inches? 3. There are ten 22-year-old men in the 72-inch club. What’s the probability that more than 8 of them are over 74 inches?(You can write down the answer with scientific notation) 4. For the last question, what assumptions are you making?

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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Question 3

Suppose that the height, in inches, of a 22-year-old man is a normal random variable with mean 71 and variance 6.25.

1.  What percentage of 22-year-old man are over 74 inches tall?

2.  What percentage of 22-year-old men in the 72-inch club (no one below 72 inches) are over 77 inches?

3. There are ten 22-year-old men in the 72-inch club. What’s the probability that more than 8 of them are over 74 inches?(You can write down the answer with scientific notation)

4. For the last question, what assumptions are you making?

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Suppose that the height, in inches, of a 22-year-old man is a normal random variable with mean 71 and variance 6.25.

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