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HW.1 Let X 1 and X 2 be independent exponential variables with mean , and let Y 1 = X 1 + X 2 X 1 and Y 2 = X 1 + X 2 . Find the joint distribution of Y 1 and Y 2 . Find the marginals, and state the distributions. .

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- 1. HW.1 Let X 1 and X 2 be independent exponential variables with mean , and let Y 1 = X 1 + X 2 X 1 and Y 2 = X 1 + X 2 . Find the joint distribution of Y 1 and Y 2 . Find the marginals, and state the distributions.