2. Let X and Y be two continuous random variables with joint pdf fxy(x,y). Let U = XY. Prove that fu, the pdf of the random variable U, is given by fv(u) = fxv (1, 0)| ² | dv. Hint: Use the transformation (x,y) → (u, v) defined as u = xy, v = y to find first the joint pdf fuv(u, v) of the random vector (U, V).

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A: Given information:The pdf of random variable  is given as,Where .

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A:

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A: False

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A:

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A: The solution of the required question is as given in steps below.

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A: Solution

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A: Topic : calculus

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A: Here we have to calculate the residual of P=(1.2,2.4) with respect to the line 3x+4y= 12 .