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In: Statistics and Probability

Two smart students, Ali ve Cem, finish their work at random times independent of each other,...

Two smart students, Ali ve Cem, finish their work at random times independent of each other, each with exponential pdf.s and means of, 3/2 ve 2 hours, respectively. They start at the same time.

a) Find the probability that Ali finishes the work after s hours.

b) Find the probability that Ali finishes the work after Cem.

(Hint: You may construct the joint pdf and its sample space and/or use conditional prob.)

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