a-e show all work please

Part II Problems. Please show all your calculations for every problem. 1. (17 points) A young entrepreneur wants to set up a lemonade stand by internection Customers anive at a rate of 40 per hour according to a Poisson distribution Customers will be served at the average rate of 60 per hour with exponential service times a) points) What is the utilization rate of the entrepreneur? b.) points) What is the average number of customers in the system? 6.3 points) What is the average number of customers in the waiting line! d. 3 points) What is the average time in minute) a customer spends in the system? e. (5 points) What is the probability of having more than 2 customers in the system