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 4.0 per hour. It will take Benny an average of 13 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Average number of customers waiting b. The average time a customer waits. (Round your answer to 2 decimal places.) Average waiting time minutes

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Please assist me with question 9 I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly

c. The average time a customer is in the shop. (Round your intermediate calculations to 3 decimal places and final answer to 1
decimal place.)
Average time
minutes
d. The average utilization of Benny's time. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal
place.)
Average utilization
Transcribed Image Text:c. The average time a customer is in the shop. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Average time minutes d. The average utilization of Benny's time. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Average utilization
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 4.0 per hour. It will take Benny an average of 13 minutes to give a haircut. Based on these figures, find the following:
a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2
decimal places.)
Average number of customers waiting
b. The average time a customer waits. (Round your answer to 2 decimal places.)
Average waiting time
minutes
Prou
9 of 10 m
Movt
Transcribed Image Text: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 4.0 per hour. It will take Benny an average of 13 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Average number of customers waiting b. The average time a customer waits. (Round your answer to 2 decimal places.) Average waiting time minutes Prou 9 of 10 m Movt
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