Question

Suppose that the time (in hours) that Irene spends on an untimed final exam follows an exponential distribution with mean 1.75 hours, and the time that Javier spends on the same exam follows an exponential distribution with mean 2.25 hours. Assume that their times are independent of each other.

4. Determine the conditional probability that Javier is still working after 5 hours, given that he is still working after 3 hours. (Explain/justify your answer.)

5. Determine the conditional probability that Javier is still working after 2 hours, given that Irene is still working after 2 hours. (Explain/justify your answer.)

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Answer 1

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