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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 = 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 = 25x - 8.5, what is the mean value of the variable Price paid by the next customer?
c. What is the standard deviation of the price paid?
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