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Unformatted text preview: 4 A Venn Diagram P( A) = .10 P( B) = .05 P(A ∩ B) = .02 Find: P(A ∪ B) 0.02 A B 0.03 0.08 5 More on the example 0.02 A B 0.03 0.08 Here is wrong idea: P (A ∪ B) = P(A) + P(B) No!!! counting the intersection twice 6 Another Example A system consists of two components, A and B, in parallel • Component & System data The probability A works is 0.88 The probability B works is 0.71 The probability both work is 0.68 • Find the probability the system works Given: P(A) = 0.88 P(B) = 0.71 P(both work) = P ( ) = 0.68 Find: 7 Another example Parts can have two types of defects, A and B. 150 parts are inspected an the results are shown below: Defect B yes no Defect A yes 5 10 no 15 120 Define notation, use it, and solve. If a part is randomly selected, • Find prob of defect A • Find the prob of defect B • of BOTH Defect A and B • Find prob of No defects 8...
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 Spring '09
 NA
 Probability, Probability theory, defect

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