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2. Wayne & Clark is a large law rm with ofces in four cities. Below is a contingency table for a recent survey of 500

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2. Wayne & Clark is a large law rm with ofces in four cities. Below is a contingency table for a recent survey of 500 employees. It classies an employee by department and location. Gotham City Metropolis Star City Central City Total Legal 77 62 43 27 209 Admin 29 1 7 9 4 59 Clerical 36 16 232 97 83 203 (a) What is the probability a randomly selected employee is a member of the legal department? Interpret this result. (b) What is the probability a randomly selected employee is in legal or works in Metropolis? (c) What is the probability that an employee is in legal given he/she works in Metropolis? (d) Are the events legal and Metropolis independent? Justify

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