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?

17.08, 1.604

Step-by-step explanation:

given that an appliance dealer sells three different models of upright freezers

as per data given below:

x                  14.516.9          19.1     Total

p                   0.20.5          0.3     1

x*p                       2.98.45         5.73    17.08

x^*p                 42.05142.805109.443294.298

Thus we find mean of X = 17.08

Var(x) =

Std dev (x) =

b) Price = 25x-8.5

E(price) =

c) Var (price) =

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step-by-step explanation:

f is the midpoint of