(1 point) A joint density function is given by J kx2 f(x, y) = 10 for 0

(1 point) A joint density function is given by (a) Find the value of the constant k. (b) Find the probability that (x, y) satisfies x + y 4. probability = (c) Find the probability that (x, y) satisfies x 2 and y 1. probability = for 0 x 4 and 0 y 2, otherwise.