Suppose the random variable X has pdfExp(- (u - 2)²),fx(u) =K2√2π0≤u≤ 4,otherwise.where K is a constant to be determined. Determine K, the CDF Fx, and the mean E[X].

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Answered: Suppose the random variable X has pdf…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Suppose the random variable X has pdf Exp(- (u - 2)²), fx(u) = K 2√2π 0≤u≤ 4, otherwise. where K is a constant to be determined. Determine K, the CDF Fx, and the mean E[X].