3. The continuous random variables X and Y have known joint probability density function f (x,y) given by £x(x, y) = [(x+y)/8 0≤x≤2,0sys2 0 otherwise. Define the random variable z as Z=max(X,Y). a) Determine the probability density function fz(z) of the random variable z. b) Determine the probability Pr{0.5

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