11. Random variable and have the following joint probability distribution. f(x,y) y 1 2 3 x 1 2 3 0.1 0.1 0.15 0.05 0.05 0.2 0.15 0.1 0.1 a) Find P(X + Y ≤ 4). b) Find the marginal probability distributions f₁ (x) and f₂ (y). c) Find P(X < 2|Y = 2). d) Are X and Y independent? e) Find E(X) and E(Y), Var(X) and Var(Y). f) Find the correlation coefficient of X and Y.

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A: Farmula used  P(X/Y=y)=P(X,Y=y)/P(Y=y)

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Q: A probability distribution is given. -1 POO 0.2 0.3 0.5 Find caf. Xs-1 0.2 -12 Xs-1 0.2 -12 x<-1 0.2…

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Q: None

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A: