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Problem 3 Suppose that X is a random variable with cumulative distribution function if a 3 What is P(X = 2), P(2 3)?(Basic Probability Review, Chapters 3, 4 in text) PLEASE SHOW YOUR WORK FOR FULL CREDIT! Let S be a sample space (all possible outcomes of an experiment). We refer to subsets of S as 'events.' Recall that if A is an event, then P(A) denotes the probability that A occurs (i.e. that some outcome in A occurs). Recall also that A U B denotes events in which A or B occur, An B denotes events in which both A and B occur, and A' denotes events in which A doesn't occur. We say that events A and B are independent if P(A) P(B) = P(An B)