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Determine the value of "c" that makes the function f(x,y)=c(x+y) a joint probability mass function over the range x=1,2,3 and y=1,2,3 and find the following (a) P(X=1,Y<4) (c) P(Y=3) (e) E(X),E(Y), V(X), V(Y) (f) Marginal Probability distribution of the random variable X (g) Conditional probability distribution of Y given that X = 1 (h) Conditional probability distribution of X given that Y = 2 (i) E(YIX=1) (j) Check if X and Y are independent? (b) P(X=2) (d) P(X<2,Y<2) < 31 69

Determine the value of "c" that makes the function $f(x,y)=c(x+y)$ a joint probability mass function over the range $x=1,2,3$ and $y=1,2,3$ and find the following (a) $P(X=1,Y<4)$ (b) $P(X=2)$ (c) $P(Y=3)$ (d) $P(X<2,Y<2)$ (e) $E(X),E(Y),V(X),V(Y)$ (f) Marginal Probability distribution of the random variable $X$ (g) Conditional probability distribution of $Y$ given that $X=1$ (h) Conditional probability distribution of $X$ given that $Y=2$ (i) $E(Y∣X=1)$ (j) Check if $X$ and $Y$ are independent?

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