Please answer ALL parts! Thisis for a course in Probability Theory.
42) Computational Problem. Here is a probabilistic method forcomputing the area of a given subset S of the unit square. Themethod uses a sequence of independent random selections of pointsin the unit square [0,1] x [0,1], according to a uniformprobability law. if the ith point belongs to the subset S the valueof a random variable Xi is set to 1, and otherwise it
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