Independent continuous random variables with the following: if 0≤x otherwise fx(x) = = {** 0 2y fr (y) = {2v if0 ≤ y ≤1 0 otherwise Solve for the following: Compute, explicitly, the density function of X+Y. Verify that the function you computed in part A is a probability density function (i.e., check that it is nonnegative and integrates to 1 from-co to oo.) Find the variance of X+Y.

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A: Check the solution in the explanation.Explanation:Check the image below for a detailed solution.

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