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Judlie is graduating from college. She has studied biolog, chemistry, d computing and hopes to use her science background in crime ation. Late one night she thinks about some jobs for which she has applied. Let A, B, and C be the events that Julie is offered a job by A- the Connecticut Office of the Chief Medical Examiner B the New Jersey Division of Criminal Justice C- the Federal Disaster Mortuary Operations Response Team 13.41 Juie writes down her personal probabilities for being offered these jobs: P(A) 0.5 P(A and B) 0.1 P(A and C) 0.05 P(B and C) 0.05 P(A and B and C) 0 Make a Venn diagram of the events A, B, and C. As in Figure 13.4 (see page 308), mark the probabilities of every intersection involving these events. Use this diagram for Exercises 13.44 to 13.46. 13.44 Will Julie get a job offer? What is the probability P(B) 0.4 P(C) 0.2 that Julie is not offered any of the three jobs? Will Julie get just these offers? What is the prob- ability that Julie is offered the Connecticut job, but not the New Jersey or federal job? 13.45 13.46 Julies conditional probabilities. If Julie is offered the federal job, what is the conditional probability that she is also offered the New Jersey job? If Julie is offered the New Jersey job, what is the condi- tional probability that she is also offered the fed- eral job? Iunihutions Youare rolling a pair of

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