Question

Pickmeup is a drive through coffee house that has room for 3 cars in the driveway. The line cannot exceed 3 cars, and because they are exclusively drive through, customers may be turned away. In the morning, the arrival rate is 40 cars per hour (Poisson distributed) and with the servers working in teams, they can process 50 cars per hour (the service rate is exponential). What is the probability of turning customers away? ?.410 ?.210 .173 O.339

          Pickmeup is a drive through coffee house that has room for 3 cars in the driveway. The line cannot exceed 3 cars, and because they are exclusively drive through, customers may be turned away. In the morning, the arrival rate is 40 cars per hour (Poisson distributed) and with the servers working in teams, they can process 50 cars per hour (the service rate is exponential). What is the probability of turning customers away?
?.410
?.210
.173
O.339

Pickmeup is a drive through coffee house that has room for 3 cars in the driveway. The line cannot exceed 3 cars, and because they are exclusively drive through, customers may be turned away. In the morning, the arrival rate is 40 cars per hour (Poisson distributed) and with the servers working in teams, they can process 50 cars per hour (the service rate is exponential). What is the probability of turning customers away?
?.410
?.210
.173
O.339

Added by Daniel P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Thuc Nguyen

06/08/2022

Step 1

- Arrival rate (λ) = 40 cars per hour (Poisson distributed) - Service rate (μ) = 50 cars per hour (exponentially distributed) - Maximum capacity of system (K) = 3 cars (maximum in driveway) - Number of servers = 1 (treating the team of servers as one service unit) Show more…

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Pickmeup is a drive-through coffee house that has room for 3 cars in the driveway. The line cannot exceed 3 cars, and because they are exclusively drive-through, customers may be turned away. In the morning, the arrival rate is 40 cars per hour (Poisson distributed) and with the servers working in teams, they can process 50 cars per hour (the service rate is exponential). What is the probability of turning customers away? 0.410 0.210 0.173 0.339