Exercise 6: Suppose that the number of hours that a student takes to finish an exam is given by the probability density function: |(x+1), 2< x< 3 f(x) = otherwise. 0, (a) What is the probability that the student finishes in less than 2.5 hours? (b) What is the expected value of the number of hours is takes a student to finish the exam? (c) What is the variance for the number of hours it takes a student to finish the exam?

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