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Suppose the time it takes Joshua to do the exam is exponentially distributed with parameter 3 per hour, and the time it takes Sarah to

Suppose the time it takes Joshua to do the exam is exponentially distributed with parameter 3 per hour, and the time it takes Sarah to do the exam is exponentially distributed with parameter 2 per hour.

1.If these two times are independent. What is the probability that Joshua finishes before Sarah?

2.What is the expected time until the first one finishes this exam? (in minutes)

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