An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage space, respectively. Let X = the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has the following pmf. x 13.5 15.9 19.1 p(x) 0.17 0.57 0.26 (a) Compute E(X), E(X2), and V(X). (Round your answers to two decimal places.) E(X) = 16.33 Correct: Your answer is correct. ft3 E(X2) = 269.94 Correct: Your answer is correct. ft6 V(X) = 3.46 Correct: Your answer is correct. ft6 (b) If the price of a freezer having capacity X cubic feet is 28X − 8.5, what is the expected price paid by the next customer to buy a freezer? (Round your answer to the nearest whole number.) 448.74 Correct: Your answer is correct. dollars (c) What is the variance of the price 28X − 8.5 paid by the next customer? (Round your answer to the nearest whole number.) dollars2 (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X − 0.02X2. What is the expected actual capacity of the freezer purchased by the next customer? (Round your answer to three decimal places.) 10.93 Correct: Your answer is correct. ft3

Part a:The value of E(X) is 16.33, E(X^2) is 269.94 and value of V(X) is 3.46.

Part b:The expected price of a freezer of capacity X is $448.74.

Part c:The variance of the price of a freezer of capacity X is $2496.

Part d:The expected actual capacity of the freezer is 10.93

Step-by-step explanation:

From the data, the values of X and p(x) are as

  X  = 13.5 | 15.9 | 19.1

p(x) = 0.17 | 0.57 | 0.26

Part a

The values are as follows:

E(X)

E(X^2)

V(X)

So the value of E(X) is 16.33, E(X^2) is 269.94 and value of V(X) is 3.46.

Part b:

Expected price is given as

So the expected price of a freezer of capacity X is $448.74.

Part c:

Variance is given as

So the variance of the price of a freezer of capacity X is $2496.

Part d:

The expected actual capacity is given as

So the expected actual capacity of the freezer is 10.93

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?