Unformatted text preview: V = X Y. p) Let U = X / Y . Find the joint probability density function of ( X, U ) , f X, U ( x , u ) . Sketch the support of ( X, U ) . q) Find the probability distribution of U = X / Y . You are welcome to use a computer and/or calculator on any problem to evaluate any integral. For the supporting work, you should include the full integral (with the function and the bounds) and the answer. For example, x du u 2 = 3 3 x , 4 2 x x y dy dx = 32, 3 1 1 2 y dx dy x y = 2 9 ....
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- Spring '08