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 2.5 per hour. It will take Benny an average of 20 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.)
b) The average time a customer waits. (Round your answer to 2 decimal places.)
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.)
d) The average utilization of Benny’s time. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)