Question

Discrete Example S[i] To (o 1 Let be a random vector uniformly distributed over 1 Denote PIX = x, Y =y) = P(x,y) Now P(0,0) = P(1,0) = P(0,1)= P(1,1)= 1/4 {as they are uniformly distributed and there are 4 points) PIX = 0) = P(0,0) + P(0,1) = 1/4 *2 = 1/2 PIX =1) = 1- PIX = 0) = 1/2 similarly How can a random vector transform into p(0,0)=p (1,0)....=1/4 not understandable, can we explain it with the vector, I think the explain here is wrong. PLY = 0) = P(Y = 1) = 1/2 • Are X and Y uncorrelated2 • Are X and Y independent? Observe that Plx,y) = 1/4 PIX = x) = 1/2 if x = 0 or 1 PIY = y) = 1/2 if y = 0 or 1 hence P(x,y) = P(x) * Ply) for x,y hence X and Y are independent un correlated should be depend on COV (X, Y) ? Is this conclusion wrong? They are also un correlated as X and are independent Please rate if helpful Please post next question again