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Department of EconomicsProfessor Dale J. PoirierUniversity of California, IrvineDecember 9, 2008FINAL EXAMECON 220AStatistics and Econometrics I(open book)Directions: You must answer each of the following questions. Points (out of 100) are allocatedas noted to the left of each question. Allocate your time according to these points. To receive anypartial credit, you mustshow your work.(10)1.Consider two events A and B with Prob(A) = 1/3 and Prob(Bc) = 1/4. Can A and B bedisjoint? Explain.(20)2.Suppose 1% of women over the age of 40 who participate in routine mammographyscreening have breast cancer, and that 80% of women with breast cancer have positivetest results indicating breast cancer. Also assume 9.6% of women without breast canceryield positive test results. If a woman has a positive test, then what is the likelihood she
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