Question

Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y. Y\X...

Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y.

Y\X -2 -1 0 1 2
0 0.01 0.02 0.03 0.10 0.10
1 0.05 0.10 0.05 0.07 0.20
2 0.10 0.05 0.03 0.05 0.04

a) Compute the marginal distributions p(x) and p(y)

b) The conditional distributions P(X = x | Y = 1)

c) Are these random variables independent?

d) Find E[XY]

e) Find Cov(X, Y) and Corr(X, Y)

Math   Statistics-And-Probability   
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