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# 2 Staffing at the Optimal Utilization A large theme park is attempting to staff its check-in desks. Currently, the arrival rate is A =

## 2 Staffing at the Optimal Utilization A large theme park is attempting to staff its check-in desks. Currently, the arrival rate is A = 364.5 customers per hour, and each server can check-in p=81 customers per hour on average. Assume the interarrival and service times follow an exponential distribution. 3. Determine the marginal probability that a customer's interarrival time will be less than nine seconds (0.0025 hours), that is P(A < 0.0025). 4. What is the marginal probability that a customer's service time will be greater than 54 seconds (0.015 hours), that is P (T> 0.015)? 5. Calculate the bounded (joint) probability that a customer's service time will be between 54 seconds (0.015 hours) and 72 seconds (0.02 hours), that is P (0.015

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