Question

4.56 total time-need soon

4.56 The total time, measured in units of a hundred hours,that a teenager runs her stereo set over a period of one year is acontinuous random variable X thathas the densityfunction

x,0<x<1

f(x) ={2-x, 1<-x<2,

0,elsewhere.

Theorem: E[g(X)+-h(X)] =E[g(X)]+-E[h(X)]

Use above theorem to evaluate the mean of the randomvariable Y = 60X2 + 39X, when Y is equal to thenumber of kilowatt hours expendedannually.PLEASE SHOW ALL STEPS TO SOLVE

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