1. A barber shop has three barbers. One of them do just the haircut, one do haircut + hair brushing and the other just do the hair style. Customers arrive in a barber shop according to a Poisson process with the rate of 2 customers per half an hour. 60% of the customers just need a haircut, 25% need haircut + hair brushing and 15% need hair style. The time needed for each of these services are as follows: For hair cut: Discrete Uniform on the set (10, 11, 20} For hair cut + hair brushing: Discrete Uniform on the set {15, 16, ..., 35) For hair style: Discrete Uniform on the set {7, 8, ..., 13} ..) a. Do a simulation study for 50 customers. b. Estimate the average time that the customers spend in the shop and in the queue. 1. A barber shop has three barbers. One of them do just the haircut, one do haircut + hair brushing and the other just do the hair style. Customers arrive in a barber shop according to a Poisson process with the rate of 2 customers per half an hour. 60% of the customers just need a haircut, 25% need haircut + hair brushing and 15% need hair style. The time needed for each of these services are as follows: For hair cut: Discrete Uniform on the set (10, 11, 20} For hair cut + hair brushing: Discrete Uniform on the set {15, 16, ..., 35) For hair style: Discrete Uniform on the set {7, 8, ..., 13} ..) a. Do a simulation study for 50 customers. b. Estimate the average time that the customers spend in the shop and in the queue