With reference to Exercise 5.76, find the expected value of the random variable whose values are given by \(g(x, y)=x^{2} y\).

Data From  Exercise 5.76

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5.76 If two random variables have the joint density 6 f(x, y) = (x+y) for 0 < x < 1, 0 < y < 1 5 0 elsewhere