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MATH 110 MODULE 3 EXAM

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MATH 110 MODULE 3 EXAM Module 3 Exam

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Stati sti cs - Portage Online Summer 2018


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)

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, Stati sti cs - Portage Online Summer 2018
1 - 0.45 = 0.55




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