Question: Consider the set E = {(x, y)lla| + ly| Consider the set E = + lyl 1}. Suppose that we choose a point (X, Y)

Consider the set E = {(x, y)lla| + ly|

Consider the set E = + lyl 1}. Suppose that we choose a point (X, Y) uniformly at random in E. That is, the joint PDF of X and Y is given by otherwise a. b. c. o Find the constant c. Find the marginal PDFs fx(x) and fy(y). Find the conditional PDF of X given Y = y, where 1 < y < 1. d. Are X and Y independent?

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