question c d (You shall use calculator in completing this problem. Express your solution upto 3rd decimal place.) A pair of random variables (X, Y) has joint density that is proportionalto(x+y)e=x²-y2x, y = [0, ∞)²,and f = 0 else.(a) Find the joint density f of (X, Y).(b) Find the expected value and variance of X, Y.(c) Compute the covariance Cov(X, Y). Subsequently, compute the variance of 3X – 2Y.(d) Suppose Y = 1. Compute the conditional probability E[X|Y = 1] and conditionalvariance Var[XY = 1].

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Answered: (c) Compute the covariance Cov(X, Y).…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(c) Compute the covariance Cov(X, Y). Subsequently, compute the variance of 3X-2Y. (d) Suppose Y = 1. Compute the conditional probability E[X|Y = 1] and conditional variance Var[XY = 1].