3. The time between arrivals at the State Revenue Office is exponential with mean value .05 hour....
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3. The time between arrivals at the State Revenue Office is exponential with mean value
.05 hour. The office opens at 8:00 A.M.
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(a) Write the exponential distribution that describes the interarrival time.
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(b) Find the probability that no customers will arrive at the office by 8:15 A.M.
(c) It is now 8:35 A.M. The last customer entered the office at 8:26. What is the probability that the next customer will arrive before 8:38 A.M.? That the next customer will not arrive by 8:40 A.M.?
(d) What is the average number of arriving customers between 8:10 and 8:45 A.M.?
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