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MATH 110 Introduction to Statistics
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MATH 110 MODULE 3 EXAM Module 3 Exam Exam Page 1 Suppose A and B are two events with probabilities: P(Ac )=.40,P(B)=.45,P(A∪B)=.60. Find the following: a) P(A∩B). p(anb) = p(a) + p(b) - p(aub) p(a) = 1 - p(a^c) p(a^c) = 0.40 1 - 0.40 = 0.60 p(a) = 0.60 0.60 + 0.45 - 0.60 = 0.45 P(AnB) = 0.45 b) P(A). p(a) = 1 - p(a^c) p(a^c) = 0.40 1 - 0.40 = 0.60 P(A) = 0.60 c) P(Bc). p(b) = 1 - p(b^c) rearranged to find p(b^c) = 1 - p(b) 1 - 0.45 = 0.55
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