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Problem 7-23 (Algo) Customers enter the camera department of a store at an average rate of six per hour. The department is staffed by one employee, who takes an average of 50 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.) --1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerky? (Round your answer to 2 decimal places.) Answer is complete but not entirely correct. Number of people 3.05 X --2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermedinte calculations. Round your answer to 1 decimal place.) Answer is complete but not entirely correct. Average total time 20.0 minutes b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Answer is complete but not entirely correct. Utilization 75.0 % c. What is the probability that there are more than two people in the camera department (excluding the clerk)?(Do not round intermediate calculations. Round your answer to 1 decimal place.) Answer is complete but not entirely correct. Probability 422 96 d. Another clerk has been hired for the camera department who also takes an average of 5.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations, Round your answer to 1 decimal place.) Answer is complete but not entirely correct. Average total time 50 minutes B D Model 1: Single Channel, Poisson Arrival, Exponential Service Time Arrival rate LE Service rate Interattival Time Service time 1/2 - 1/4 0.3333 0.2500 System Utilization Probability system is empty Average number in line Average number in system Average time in line Average time in system P Po LG L We W, 0.7500 0 2500 2.2500 3.0000 0.7500 1.0000 ne P(2 units in system) = Pin