Question

. Let X and Y be two discrete random variables. The range of X is {0,...

. Let X and Y be two discrete random variables. The range of X is {0, 1, 2}, while the range of Y is {1, 2, 3}. Their joint probability mass function P(X,Y) is given in the table below:

X\Y        1             2              3

0              0              .25          0

1              .25          0             .25

2              0             .25          0

Compute E[X], V[X], E[Y], V[Y], and Cov(X, Y).

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