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The probability distribution of a couple of random variables (X, Y) is given by : X/Y...

The probability distribution of a couple of random variables (X, Y) is given by :

X/Y 0 1 2
-1 a 2a a
0 0 a a
1 3a 0 a

1) Find "a"

2) Find the marginal distribution of X and Y

3) Are variables X and Y independent?

4) Calculate V(2X+3Y) and Cov(2X,5Y)

Math   Statistics-And-Probability   
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