Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following: The average number of customers waiting. Note: Round your answer to 2 decimal places. The average time a customer waits. Note: Round your answer to 2 decimal places. The average time a customer is in the shop. Note: Round your answer to 2 decimal places. The average utilization of Benny’s time. Note: Round your answer to 1 decimal place.
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following:
-
The average number of customers waiting.
Note: Round your answer to 2 decimal places.
-
The average time a customer waits.
Note: Round your answer to 2 decimal places.
-
The average time a customer is in the shop.
Note: Round your answer to 2 decimal places.
-
The average utilization of Benny’s time.
Note: Round your answer to 1 decimal place.
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