X p(x) 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. 4 16 18 20 0.4 0.2 0.4 (a) Compute E(X), E(X2), and V(X). ft 3 E(X)= E(X²) = V(X) = (b) If the price of a freezer having capacity X is 65X- 650, what is the expected price paid by the next customer to buy a freezer? S ASK YOUR TEACHER (c) What is the variance of the price paid by the next customer? PRACTICE ANOTH (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X-0.009x2. What is the expected actual capacity of the freezer purchased by the next customer? (Enter your answer to four decimal places.) ft3
X p(x) 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. 4 16 18 20 0.4 0.2 0.4 (a) Compute E(X), E(X2), and V(X). ft 3 E(X)= E(X²) = V(X) = (b) If the price of a freezer having capacity X is 65X- 650, what is the expected price paid by the next customer to buy a freezer? S ASK YOUR TEACHER (c) What is the variance of the price paid by the next customer? PRACTICE ANOTH (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X-0.009x2. What is the expected actual capacity of the freezer purchased by the next customer? (Enter your answer to four decimal places.) ft3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Question
8
Transcribed Image Text:X
p(x)
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.
4
16 18 20
0.4 0.2 0.4
(a) Compute E(X), E(X2), and V(X).
ft 3
E(X)=
E(X²) =
V(X) =
(b) If the price of a freezer having capacity X is 65X- 650, what is the expected price paid by the next customer to buy a freezer?
S
ASK YOUR TEACHER
(c) What is the variance of the price paid by the next customer?
PRACTICE ANOTH
(d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X-0.009x2. What is the expected actual capacity of the freezer purchased by the next customer? (Enter your
answer to four decimal places.)
ft3
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