Suppose the joint density function of continuous random variables X and Y is given by fx,y (x, y) = - {0(² + 2y). 0, c(x+2y), if 0 ≤ x ≤ 1,0 ≤ y ≤ 1 else. Determine the value of c so that fx,y is a valid density function. 1 Determine the probability P(0 < X <, ≤Y ≤ 1). 2'2 Determine the probability P(X + Y ≥ 1.5).

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