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 3.0 per hour. It will take Benny an average of 17 minutes to give a haircut. Based on these figures, find the following:

a. The average number of customers waiting. Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. b. The average time a customer waits. Note: Round your answer to 2 decimal places. c. The average time a customer is in the shop. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place. d. The average utilization of Benny's time. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place