1. Let \( X \) and \( Y \) have joint probability density function (pdf) given by\[f(x_1, x_2) = \begin{cases} 1, & 0 < x_1, x_2 < 1 \\ 0, & \text{elsewhere} \end{cases}\]Find the joint probability density function of \( Y_1 = X_1 + X_2 \) and \( Y_2 = X_1 - X_2 \).Also find the marginal density functions of \( Y_1 \) and \( Y_2 \).

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Answered: 1. Let X and Y have joint probability…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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1. Let X and Y have joint probability density function (pdf) given by [1,0