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

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

exactly you go it

step-by-step explanation: