1. Suppose that (X, Y) ~ unif (C) where C = (0,1]+(1,2] in R. a) Determine...

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1. Suppose that (X, Y) ~ unif (C) where C = (0,1]+(1,2] in R. a) Determine the stochastic behaviour of each of the coordinate variables, X and Y. b) Obtain both the conditional probability P(X 3/2 | Y 1/2) and corresponding marginal probability P(X 3/2). c) Evaluate the correlation coefficient p(X,Y)? (7) (6) (7) 1. Suppose that (X, Y) ~ unif (C) where C = (0,1]+(1,2] in R. a) Determine the stochastic behaviour of each of the coordinate variables, X and Y. b) Obtain both the conditional probability P(X 3/2 | Y 1/2) and corresponding marginal probability P(X 3/2). c) Evaluate the correlation coefficient p(X,Y)? (7) (6) (7)