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 0.5 0.3 0.2 p(x) (a) Compute E(X), E(X²), and V(X). E(X)= ft3 E(X²) = 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? $ (c) What is the variance of the price paid by the next customer?
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 0.5 0.3 0.2 p(x) (a) Compute E(X), E(X²), and V(X). E(X)= ft3 E(X²) = 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? $ (c) What is the variance of the price paid by the next customer?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
Related questions
Question
![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.
20
16 18
0.5 0.3 0.2
p(x)
(a) Compute E(X), E(X2), and V(X).
E(X) =
ft³
E(X2) = |
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?
$
(c) What is the variance of the price paid by the next customer?
(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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8edd889e-338a-4275-872c-5b2b400b4e22%2Fbc0cccfb-cfc8-413c-97fd-75d674cea203%2F2e8a6e7_processed.png&w=3840&q=75)
Transcribed Image Text: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.
20
16 18
0.5 0.3 0.2
p(x)
(a) Compute E(X), E(X2), and V(X).
E(X) =
ft³
E(X2) = |
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?
$
(c) What is the variance of the price paid by the next customer?
(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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning