An appliance dealer sells three different models of upright freezers having 14.5, 16.9, 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 p(x)14.5 .216.9 .519.1 .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?