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?