7.38 An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage space. Let x 5 the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution:
x 13.5 15.9 19.1 p(x) .2 .5 .3

a. Calculate the mean and standard deviation of x.

b. If the price of the freezer depends on the size of the storage space, x, such that Price 5 25x 2 8.5, what is the mean price paid by the next customer?

c. What is the standard deviation of the price paid?