SMT shopping mall has a single sale counter and, customers arrive according to Poisson probability distribution. The time required to pay the goods customers follows an exponential probability distribution. The mean arrival rate is 12 customers per hour, and the mean service rate is 18 customers per hour. What is the probability that an arriving customer will have to wait for pay? on O a. 0.43 b.0.67

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Chapter9: Counting And Probability
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27 minutes ago
SMT shopping mall has a single sale counter and, customers arrive according to Poisson probability
distribution. The time required to pay the goods customers follows an exponential probability distribution. The
mean arrival rate is 12 customers per hour, and the mean service rate is 18 customers per hour.
What is the probability that an arriving customer will have to wait for pay?
ion
O a. 0.43
O b. 0.67
OC 0.57
O d. 0.33
Transcribed Image Text:11:03 M 27 minutes ago SMT shopping mall has a single sale counter and, customers arrive according to Poisson probability distribution. The time required to pay the goods customers follows an exponential probability distribution. The mean arrival rate is 12 customers per hour, and the mean service rate is 18 customers per hour. What is the probability that an arriving customer will have to wait for pay? ion O a. 0.43 O b. 0.67 OC 0.57 O d. 0.33
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