An appliance dealer sells three different models of upright freezers having 14.5, 15.9, and 20.1 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 0.2 15.9 0.5 20.1 0.3 (a) Calculate the mean and standard deviation of x. (Round your answers to three decimal places.) mean cubic ft standard deviation cubic ft (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 price paid by the next customer?