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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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:

  1. The average number of customers waiting.

    Note: Round your answer to 2 decimal places.

     
  2. The average time a customer waits.

    Note: Round your answer to 2 decimal places.

     
  3. The average time a customer is in the shop.

    Note: Round your answer to 2 decimal places.

     
  4. The average utilization of Benny’s time.

    Note: Round your answer to 1 decimal place.

     
 
 
 
 
 
 
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