Screening job applicants. A company retains a psychologist to assess whetherjob

Chapter 0, Problem 12.35

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Screening job applicants. A company retains a psychologist to assess whetherjob applicants are suited for assembly-line work. The psychologist classifiesapplicants as one of A (well suited), B (marginal), or C (not suited). Thecompany is concerned about the event D that an employee leaves the companywithin a year of being hired. Data on all people hired in the past five years givethese probabilities:P(A) = 0.4 P(B) = 0.3 P(C) = 0.3P(A and D) = 0.1 P(B and D) = 0.1 P(C and D) = 0.2Sketch a Venn diagram of the events A, B, C, and D and mark on your diagramthe probabilities of all combinations of psychological assessment and leaving (ornot) within a year. What is P(D), the probability that an employee leaves withina year?

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