f(x, y) = .006x, 0≤x≤ y ≤ 10 1. Find the covariance between X and Y. Explain why the sign of the covariance makes sense in the context of the problem.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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f(x, y) = .006x, 0≤x≤ y ≤ 10
1. Find the covariance between X and Y. Explain why the sign of the covariance makes
sense in the context of the problem.
Transcribed Image Text:f(x, y) = .006x, 0≤x≤ y ≤ 10 1. Find the covariance between X and Y. Explain why the sign of the covariance makes sense in the context of the problem.
Expert Solution
Step 1

Given that

f  (x, y) = 0.006x      0 ≤ x ≤y ≤10 

We have to find the covariance between X and Y 

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Follow-up Question

When you found marginal density of Y, bounds of 0 to y were used on the integral. When the marginal densitiy of X was found, bounds of 0 to 10 were used. Wouldnt the bounds of x to 10 be necessary when finding the marginal desnisty of X?

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