Question: At a security check queue at an airport, the interarrival time between passengers has a mean of 50 seconds. The CISF guard checks on average

At a security check queue at an airport, the interarrival time between passengers has a mean of 50 seconds. The CISF guard checks on average 1.5 passengers per minute. Assume all Poisson processes. 1. What is the utilization of the CISF guard (choose closest value)? A. 0.75 B. 0.80 C. 0.90 D. 0.92 E. 0.78 Second of three questions based on this: At a security check queue at an airport, the interarrival time between passengers has a mean of 50 seconds. The CISF guard checks on average 1.5 passengers per minute. Assume all Poisson processes. 2. What is the probability that not more than 1.5 minutes elapses between successive arrivals of passengers (choose closest value)? A. 0.9210 B. 0.6732 C. 0.7829 D. 0.7398 E. 0.8347 Third of three questions based on this: At a security check queue at an airport, the interarrival time between passengers has a mean of 50 seconds. The CISF guard checks on average 1.5 passengers per minute. Assume all Poisson processes. 3. What is the average length of the queue (choose closest value)? A. 3.6 B. 2.8 C. 5.4 D. 3.2 E. 1.7

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