I need help solving the following three questions

Problem 7-21 (Algo) 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.) Average number of customers waiting b. The average time a customer waits. (Round your answer to 2 decimal places.) Average waiting time minutes 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.)Problem 7-11 (Algo) If the average time between customer arrivals is 3.75 minutes, what is the hourly arrival rate? (Round your answer to 1 decimal place.) Hourly arrival rate customers per hourBurrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 30 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 40 seconds. To help determine the amount of space needed for the line at the drive-up window, answer the following questions. a. What is the average waiting line length (in cars)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average line length cars b. What is the average number of cars in the system (both in line and at the window)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number of cars cars c. What is the expected average time in the system, in minutes? (Do not round intermediate calculations. Round your answer to 2 decimal places.)