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Problem 6The general manager, marketing director, and 3 other employees of CompanyAare hosting a visitby the...

Problem 6The general manager, marketing director, and 3 other employees of CompanyAare hosting a visitby the vice president and 2 other employees of CompanyB. The eight people line up in a randomorder to take a photo. Every way of lining up the people is equally likely.(a) What is the probability that the general manager is next to the vice president?(b) What is the probability that the marketing director is in the leftmost position?(c) Determine whether the two events are independent. Prove your answer by showing that oneof the conditions for independence is either true or false.

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