Let X; Y be two random variables with the following joint distribution（in the attachment）: (a) Compute p(X) and p(Y ) (b) Compute p(X|Y = 1) (c) compute p(Y = 1|X = 1) using (a) and (b) (d) Are X and Y statistically independent? Show all your working. This is my answer, but I don't know whether it's correct (a) joint probabilities: p(X=1)= 0+1/8=1/8 p(X=2)= 3/4+1/8=7/8 so p(X)= 1/8+7/8=1 p(Y=1)= 0+3/4=3/4 p(Y=2)=1/8+1/8=1/4 so p(Y)=3/4+1/4=1 just like Millennial said, I also don't understand this question, because I think it doesn't make any sense. (b) p(Y=1,X) = p(Y=1)p(X|Y=1) so p(X|Y=1) = p(Y=1, X)/p(Y=1) =?/(3/4) here I have a question, I don't know how to compute p(Y=1,X), and btw does p(Y=1,X) = p(X, Y=1)? (c) because I can't actually compute (b), so just leave it behind for now. (d) because p(X=1,Y=1) = 0 and it doesn't equal to p(X=1)p(Y=1) = 1/8,so they are not statistically independent.