An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage space, respectively. Let X = the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has the following pmf. x 13.5 15.9 19.1
p(x) 0.20 0.59 0.21

Requried:
a. Compute E(X), E(X2), and V(X).
b. If the price of a freezer having capacity X cubic feet is 22X ? What is the expected price paid by the next customer to buy a freezer?
c. What is the variance of the price paid by the next customer?