1. Let random variables X and Y each have range (1,2,3,4). The following formula gives their...

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1. Let random variables X and Y each have range (1,2,3,4). The following formula gives their joint probabilities P(X = i, Y =j) = (i+j)/80 Compute each of the following: (a) Find the joint and marginal distribution of X and Y. (b) P(X=Y) (c) Conditional distribution of X when Y=2 and conditional distribution of Y when X=3. 1. Let random variables X and Y each have range (1,2,3,4). The following formula gives their joint probabilities P(X = i, Y =j) = (i+j)/80 Compute each of the following: (a) Find the joint and marginal distribution of X and Y. (b) P(X=Y) (c) Conditional distribution of X when Y=2 and conditional distribution of Y when X=3.