Suppose that the Cumulative distribution function (CDF) of the random variable Xwith parameter 0 > 0 is defined byF(x;0) = 1 - e,x > 0i)What is the expected value of X,E(X)?ii)What is the variance of X,V (X)?

CDF of X with parameter θ>0: F(x ; θ)=1-e-xθ , x>0

Answered: Suppose that the Cumulative…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

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Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter 0 > 0 is defined by F(x; 8) = 1 – ei, x >0 i) What is the expected value of X, E(X)? ii) What is the variance of X,V (X)?