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Question: Ron, Sue, and Ted arrive at the beginning of a professor's office hours. The amount of time they will stay is exponentially distributed with means of 1, 1/2, and 1/3 hour.

(a) What is the expected time until only one student remains?

(b) For each student find the probability they are the last student left.

(c) What is the expected time until all three students are gone?

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