HW-1 Let X1 and X2 be independent exponential variables with mean - an.docx

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The document discusses the joint distribution of two independent exponential variables, x1 and x2, with specified means. It defines new variables y1 and y2 derived from x1 and x2, presenting a need to find their joint distribution along with their marginal distributions. The task emphasizes the determination of the underlying statistical distributions involved.

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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HW-1 Let X1 and X2 be independent exponential variables with mean - an.docx

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.