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Let the random variable X and Y have the joint pmf f(x, y) = xy^2/c where...

Let the random variable X and Y have the joint pmf f(x, y) = xy^2/c where x = 1, 2, 3; y = 1, 2, x + y ≤ 4 , that is, (x, y) are {(1, 1),(1, 2),(2, 1),(2, 2),(3, 1)} .

(a) Find c > 0 .

(b) Find μX

(c) Find μY

(d) Find σ^2 X

(e) Find σ^2 Y

(f) Find Cov (X, Y )

(g) Find ρ , Corr (X, Y )

(h) Are X and Y independent?

Math   Statistics-And-Probability   
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