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A certain random variable X has the probability density function (PDF) given by fx(x) = (x + 1, 1x0 = + 1-x, and fx
A certain random variable X has the probability density function (PDF) given by fx(x) = (x + 1, 1x0 = + 1-x, and fx (x) = 0 otherwise. 0x1 (a) Show that the cumulative distribution function may be expressed as 0, 1 (x+1), x < 1 -1x0 Fx(x) = 11-11-2 (1-x), 0x1 1, x> 1 (b) Given a standard uniform random variable U, give an algorithm to generate the random variable X using the result in part a.
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Making Hard Decisions with decision tools
Authors: Robert Clemen, Terence Reilly
3rd edition
538797576, 978-0538797573
