f(x, y) = x, 0≤x≤ y ≤ 10 500 Given E(Y) = 7.5 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
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3
f(x, y)=x,
500
0≤x≤ y ≤ 10
Given E(Y) = 7.5
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:3 f(x, y)=x, 500 0≤x≤ y ≤ 10 Given E(Y) = 7.5 1. Find the covariance between X and Y. Explain why the sign of the covariance makes sense in the context of the problem.
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Follow-up Question

 Don't the original bounds of f(x,y) come into play when solving for the E(XY) and the marginal pdf of either x or y? image below ...

E(XY)
10 10
3
-!! 500
0 X
10
fx(x) = [
X
3
-x dy dx
-x dx
500
Transcribed Image Text:E(XY) 10 10 3 -!! 500 0 X 10 fx(x) = [ X 3 -x dy dx -x dx 500
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