Question

Suppose the time it takes Alex to do this exam is exponentially distributed with parameter 3...

Suppose the time it takes Alex to do this exam is exponentially distributed with parameter

3 per hour, and the time it takes Ben to do the exam is exponentially distributed with parameter 2

per hour. Assume that these two times are independent.

(a) What is the probability that Alex finishes before Ben?

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

(c) What is the probability that neither Alex nor Ben finishes the exam within 3 hours?

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