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Suppose that the time, T, that a bank teller takes to serve 10 customers is a uniformly distributed random variable between 8 and 10 minutes.

Suppose that the time, T, that a bank teller takes to serve 10 customers is a uniformly distributed random variable between 8 and 10 minutes. The average service time per customer is a random variable R = 10/T. a. Find the cdf of R. b. Use the cdf above to find the pdf of R c. Compute the average and variance of the service rate, R

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