Consider the following joint probability distribution for, Ask an Expert

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Consider the following joint probability distribution for uncertain quantities X and Y:

P(X = -2 and Y = 2) =

0.2 P(X= -l and Y = 1)

= 0.2 P(X = 0 and Y = 0)

= 0.2 P(X =1 and Y = 1) =

0.2 P(X = 2 and Y = 2) = 0.2

a. Calculate the covariance and correlation between X and Y.

b. Calculate P(Y = 2), P(Y = 2 | X = -2), P(Y = 2| X = 2), P(Y = 2| X = 0).

c. Calculate P(X = -2), P(X = -21 F = 2), P(X = -21F = 0).

d. Are X and Y dependent or independent? How would you describe the relationship be- tween X and Y?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91704551

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