STAB52H3 Study Guide - Quiz Guide: Sample Space, Royal Institute Of Technology
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Let p be some probability measure on the sample space s = [0, 1]. Show by example that we might have lim n p ([0, 1/n)) > 0. Prove that there is some n such that p ([0, n]) > 0. 9. The probability of winning the jackpot when playing one ticket of lotto 649 is approximately 1/14000000. Prove that a and b are independent implies that ac and bc are independent. Suppose we choose a positive integer at random, according to some unknown probability distribution. Suppose that we know that p ({1, 2, 3, 4, 5}) = 0. 3, that p ({4, 5, 6}) = 0. 4 and that p ({1}) = 0. 1. Here"s an example of what to expect on a term test or nal: Suppose that in a network of 3 computers, at a given time the event that the kth computer is down has (un- conditional) probability pk for k = 1, 2, 3.
