# Homework 5.pdf - Brynn Riley Introduction to Statistics...

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Brynn RileyIntroduction to StatisticsHomework 51 October 20193.38-3.44, 3.51, 4.1, 4.2, 4.3, 4.15, 4.22, 4.40, 4.43, 4.49, 4.50, 4.533.38.Events A and B are mutually exclusive if A ∩ B contains no sample points—that is, if A and Bhave no sample points in common. In other words, mutually exclusive events cannot both occur at thesame time, which means they have no sample points in common.3.39.The union of two events A and B is the event that occurs if either A or B (or both) occurs on a singleperformance of the experiment.3.40.The intersection of two points A and B is the event that both A and B occur on a single performanceof the experiment.3.41.The complement of an event A is the event that A does not occur. It is the event consisting of all thesample points that are not in event A. We denote the complement of A by Ac3.42.The rule of complements states that the sum of the probabilities of complementary events equals 1.3.43.The additive rule of probability for mutually exclusive events states that if two events A and B are.

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