11. A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample. Determine (a) fxy(x, y) (b) fx (x) (c) E[X] (d) fy|3 (V) (e) E[Y|X = 3) (f) V[Y|X = 3] (g) Are X and Y independent?
11. A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample. Determine (a) fxy(x, y) (b) fx (x) (c) E[X] (d) fy|3 (V) (e) E[Y|X = 3) (f) V[Y|X = 3] (g) Are X and Y independent?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![11. A small-business Web site contains 100 pages and 60%, 30%, and 10% of the
pages contain low, moderate, and high graphic content, respectively. A sample of
four pages is selected without replacement, and X and Y denote the number of
pages with moderate and high graphics output in the sample. Determine
(a) fxy(x, y)
(b) fx (x)
(c) E[X]
(d) fy|3 (y)
(e) E[Y|X = 3}
(f) V[Y|X = 3]
(g) Are X and Y independent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f7f7692-aabf-4268-8a1d-2734e4876eb6%2F5a6b8af0-45d9-473a-9023-aa9a3bf1345f%2Fjxd3l4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. A small-business Web site contains 100 pages and 60%, 30%, and 10% of the
pages contain low, moderate, and high graphic content, respectively. A sample of
four pages is selected without replacement, and X and Y denote the number of
pages with moderate and high graphics output in the sample. Determine
(a) fxy(x, y)
(b) fx (x)
(c) E[X]
(d) fy|3 (y)
(e) E[Y|X = 3}
(f) V[Y|X = 3]
(g) Are X and Y independent?
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Step 1: State the given information.
VIEWStep 2: Determine the joint PMF of X and Y.
VIEWStep 3: Determine the marginal PMF of X
VIEWStep 4: Calculate the mean of X
VIEWStep 5: Determine the conditional PMF of Y given X=3
VIEWStep 6: Calculate the mean Y given X=3
VIEWStep 7: Calculate the variance Y given X=3
VIEWStep 8: Determine the X and Y are independent
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