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Given a cdf fa pry le a formally show that pry gt a 1 -

Given a CDF F(a) = Pr(Y ≤ a), formally show that Pr(Y > a) = 1 - F(a) using only the axioms of probability and definition of a CDF (i.e. start by coming up with a partition of the sample space, then use the fact that the sum of the probabilities of the events in a partition is 1).

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