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Let X and Y have a uniform distribution on the set of

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 9E Chapter 4.3

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 9E

PROBLEM 9E

Let X and Y have a uniform distribution on the set of points with integer coordinates in S = {(x, y) : 0 ≤ x ≤ 7, x y x + 2}. That is, f (x, y) = 1/24, (x, y) ∈ S, and both x and y are integers. Find

Step-by-Step Solution:

Step 1 of 6 :

Given that X and Y are uniformly distributed with f(x,y)=;0xyx+2 on the set of points on the integer coordinate S={(x,y),0xyx+2}.The given uniform distribution is a discrete uniform distribution, since the set S has only a finite number of outcomes with equal probability.


Step 2 of 6

Chapter 4.3, Problem 9E is Solved
Step 3 of 6

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X and Y have a uniform distribution on the set of