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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 11E: An ordinary die is rolled. Find the probability of each event. Rolling a number greater than 1 but...

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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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