The associate dean in the college of business at XCD is going to purchase a new copying machine for the college. One model he is considering is the Zerox10. The sales representative has told him that this model will make an average of 125,000 copies, with a standard deviation of 40,000 copies, before breaking down. (a) Assume that the life of the printer is normally distributed. What is the probability that the copier will make 200,000 copies before breaking down? Include a graphical representation in your answer. (b) Suppose that this purchase need

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The associate dean in the college of business at XCD is going to purchase a new copying machine for the college. One model he is considering is the Zerox10. The sales representative has told him that this model will make an average of 125,000 copies, with a standard deviation of 40,000 copies, before breaking down.

(a) Assume that the life of the printer is normally distributed. What is the probability that the copier will make 200,000 copies before breaking down? Include a graphical representation in your answer.

(b) Suppose that this purchase needs to be approved by the majority of students in accounting (34 students) and finance (66 students). 35% of accounting students and 70% of finance students are in favour if the Xerox10. Using a probability tree, determine the probability that this copying machine will be approved.

(c) In addition to the copying machine, the college has 9 printers which are used daily during workdays. The probability that one of these will break down during the day is 10%. Determine the probability that during any given day at least 2 machines will break down.

 

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