tain 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 certe ollowing pmf. X p(x) E(X)= E(X²) = V(X) = 16 18 20 0.4 0.2 0.4 (a) Compute E(X), E(X2), and V(X). ft3 (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? $ (c) What is the variance of the price paid by the next customer? ASK YOUR TEA

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3³. Let X = the rated capacity of a freezer of this brand sold at a certain ste
following pmf.
E(X)=
E(X²) =
V(X) =
X
p(x)
(a) Compute E(X), E(X2), and V(X).
ft³
16 18 20
0.4 0.2 0.4
(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?
$
(c) What is the variance of the price paid by the next customer?
Need Help?
(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 be
answer to four decimal places.)
ft³
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ASK YOUR TEACHE
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Transcribed Image Text:An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3³. Let X = the rated capacity of a freezer of this brand sold at a certain ste following pmf. E(X)= E(X²) = V(X) = X p(x) (a) Compute E(X), E(X2), and V(X). ft³ 16 18 20 0.4 0.2 0.4 (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? $ (c) What is the variance of the price paid by the next customer? Need Help? (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 be answer to four decimal places.) ft³ Read It ASK YOUR TEACHE Watch It
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