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The random variables X and Y have the joint density: fx,y(x,y) = 2-x-y, for 0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 53E

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Question

(a) What is the expected value of X? (b) What is the variance of X? (c) What is the covariance of X and Y? (d) What is the correlation of X and Y?

The random variables X and Y have the joint density:
fx,y(x,y) = 2-x-y, for 0<x<1, 0<y<1
0,
otherwise
For each of the following, please provide your answers in three decimal places:

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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