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Let U be a uniform random variable on [0, 1], and let X be an independent exponential variable with mean 1. Let M be the
Let U be a uniform random variable on [0, 1], and let X be an independent exponential variable with mean 1.
Let M be the maximum of U and X.
(a) Find the density of M.
(b) What is the probability that M = X
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Basic College Mathematics (Subscription)
Authors: Elayn Martin Gay
6th Edition
0134844947, 9780134844947
