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6. People enter the post office at an average rate of four per 25 minutes. (a) Find the probability that two people enter between 10:00 and 10:10am (b) Starting at 9:00, find the probability that the first person enters between 9:10 and 9:15. Use an exponential random variable. (e) What is the expected length of time until the tenth person enters the pos t office? Name the random variable used. Extra: Write the integral for the probability of the sixth person arriving between 9:35 and 9:45. Do not evaluate it.
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