For each one of the statements below say whether the statement is true or false, explaining your answer. Note that A and B are events, with their complements denoted as A\" and BC, respectively. i. ii. iii. iv. Let A and B be two events such that P(A) > 0 and P(B) > 0. Given that PM | B) = 1, then P(A\" D B) = 0. If A and B are two mutually exclusive events, then: P(Ac 0 BC) = 1 P(A) P(B). Suppose the random variable X is such that X N Bernoulli(0.50). It follows that: P(X = Var(X)) = 0.50. If X N N(a, oz), for some constant a > 0, then P(X g a) = P(X 2 a). . Uncorrelated variables imply independent variables