The joint probability function of two discrete random variables X and Y is given by f(x; y) =c(2x + y), where x and y can assume all integers such that 0 ≤ x ≤ 2; 0≤ y ≤ 3, and f(x; y) = 0 otherwise.

(a) Find the value of the constant c. Give your answer to three decimal places.

(b) Find P(X=0,Y=3). Give your answer to three decimal places.

(c) Find P(X≥ 0,Y≤ 1). Give your answer to three decimal places.

(d) X and Y are independent random variables.

A - true

B - can't be determined

C - false