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.
a.What is the average number of customers waiting? (Round your answer to 4 decimal places.)
b.What is the average time a customer waits? (Round your answer to nearest whole number.)
c.What is the average time a customer is in the shop?
d.What is the average utilization of Benny's time? (Round your answer to the nearest whole percent.)