The probability distribution for the random varaibles X and Y is shown in the table below. Find the covariance of X and Y x 012011/7318/7314/73110/738/730212/7300^ y on this sideusing coviaraince = E(XY)-E(X)E(Y)

Give data: 0 1 2 P(Y) 0 11/73 18/73 14/73 43/73 1 10/73 8/73 0 18/73 2 12/73 0 0 12/73…

Answered: The probability distribution for the…

The probability distribution for the random varaibles X and Y is shown in the table below. Find the covariance of X and Y x

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.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 14E

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Question

The probability distribution for the random varaibles X and Y is shown in the table below. Find the covariance of X and Y

	0	1	2
0	11/73	18/73	14/73
1	10/73	8/73	0
2	12/73	0	0

^ y on this side

using coviaraince = E(XY)-E(X)E(Y)

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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