Consider the integral 1 = fx g(x, y) dx dy, where X = {(x, y) : 0

Consider the integral A = fx g(x, y) dx dy, where X = {(x, y) : 0 S x S IT/ S y S [0, IT/ 2] X [0, 1] and 2 (X + IT y /2), (X, y) e X xeY sin o, otherwise (a) Construct and implement an independent Monte Carlo sampling plan to estimate 1 consist- ing of n 106 independent samples from the uniform distribution on X: 2/ IT, 0, otherwise.