Question

In: Statistics and Probability

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

Let the random variable and have the joint pmf X Y f(x,y) = {x(y)^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 . σ2 X

(e) Find . σ2 Y

(f) Find Cov . (X,Y )

(g) Find p , Corr . (x,y)

(h) Are and X and Y independent

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