Let X be a random variable with the following probability di

Let X be a random variable with the following probability distribution:

x

-3

6

9

f(x)

1/6

1/2

1/3

(a) Find E[g(X)], where g(X) = (2X + 1)²









(b) Calculate the variance for g(X) = (2X + 1)²

Solution

In general, E(g(X)) = ?x