Question

3. a) Assume that the height (in inches) of an American female is normal with expected

value 64 inches and standard deviation 2.5. Also, assume that the height of an American male is normal with expected value 69 inches and standard deviation of 3.0 inches. A man and a woman are chosen at random. The woman’s height is measured, and she is found to be exactly 68.2 inches tall. How much taller do we expect the man to be (as compared to this particular woman)?

b) Suppose that, on a random Sunday, your roommate wakes up at some time uniformly distributed between 12 noon and 3 PM. Suppose that you awake at 2 PM that day. If your roommate is not yet awake when you get up at 2 PM, when do you expect him to wake up?

Answer 1

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