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Three printers, A, B, and C, do work for the publications office of a university. The...

Three printers, A, B, and C, do work for the publications office of a university. The publications office does not negotiate a contract penalty for late work. Printer A holds 20% of the contracts of the university and 20% of the time it delivers the work more than one month late. Printer B holds 30% of the contracts of the university and 50% of the time it delivers the work more than one month late. Printer C holds 50% of the contracts and delivers the work more than one month late 30% of the time. If a department observes that its recruiting booklet is more than a month late, what is the probability that the contract is held by printer C?

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ANSWER:

Given that,

A department observes that its recruiting booklet is more than a month late. What is the probability that the contract is held by printer C,

(By using Baye's theorem)

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