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Let X be exponentially distributed with paramter 2, and let Y be exponentially distributed with parameter...

Let X be exponentially distributed with paramter 2, and let Y be exponentially distributed with parameter 4. Suppose X and Y are independent.
(a) Let Z = Y/X. Determine the cdf and pdf of Z. (b) Define two random variables V and W by V = X + Y, W = X −Y Determine the joint pdf of V and W, and sketch the region in the vw-plane on which the joint pdf is nonzero

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