how to find expectation of a function of random variable ?

Question : how to find expectation of a function of random variable ?x0123f(x)1/83/83/81/8Find (i) E[X]        (ii) E[X^2]            (iii) E[3X-2]      (iv)  E[(X+1)^2]Solution :Fo the given probability distribution of a random variable Xx0123f(x)1/83/83/81/8we know that expectation of a function of random variable\[E\left(g(X)\right)=\sum_{i=0}^{n}{g(x_i)f\left(x_i\right)}\]…

This Question has been answered. 

Please Subscribe to See Answer or To Get Homework Help