An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. let x = the rated capacity of a freezer of this brand sold at a certain store. suppose that x has the following pmf.

x 16 18 20
p(x) 0.3 0.1 0.6

(a) compute e(x), e(x2), and v(x).
(b) if the price of a freezer having capacity x is 60x − 650, what is the expected price paid by the next customer to buy a freezer?

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

Point a:

The Expected value or the mean value of X with set of possible values D, denoted by E(X) or μ is

Therefore

If the random variable X has a set of possible values D and a probability mass function, then the expected value of any function h(X), denoted by E[h(X)] is computed by

So and

The variance of X, denoted by V(X), is

Therefore

Point b:

We know that the price of a freezer having capacity X is 60X − 650, to find the expected price paid by the next customer to buy a freezer you need to:

From the rules of expected value this proposition is true:

We have a = 60, b = -650, and E(X) = 18.6. Therefore

The expected price paid by the next customer is

Welp life just is hard

a - base

b - exponent

so,

the base is 8the exponent is 3the exponent tells you to multiply 8 together three timesthe expanded form is 8*8*8