13. Let X be the height of a man, and let Y be the height of his...

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13. Let X be the height of a man, and let Y be the height of his daughter (both in inches).

Suppose that the joint probability density function of X and Y is bivariate normal with the following parameters: μX = 71, μY = 60, σX = 3, σY = 2.7, and ρ = 0.45. Find the probability that the man is at least 8 inches taller than his daughter.

Hint: Use the result of Exercise 12.

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