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6. Suppose that X and Y have the joint density function 1, f(x, y) = y 1 x 1 y, 0 y 1 0,
6. Suppose that X and Y have the joint density function 1, f(x, y) = y 1 x 1 y, 0 y 1 0, elsewhere Reminder that while we can choose to set either the x bounds or the y bounds first in a double integral, one choice may be easier than the other! (a) Find P(X > 0). (b) What is the probability that X 0 given that Y > 1/2? (c) Find Cov(X, Y).
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