In: Statistics and Probability
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.)