Question: Suppose that X, Y are random variables with joint density function fx,y (x, y) i) Verify that fx,y is a joint density function ii)

Suppose that X, Y are random variables with joint density function fx,y (x, y) i) Verify that fx,y is a joint density function ii) Calculate P(Y < 2X) = ( (x + y) 0 x y 2 otherwise iii) Determine whether X, Y are independent by computing the marginal density functions and comparing the result of their product to fx,y
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