I am confused on these first two problems. Just looking for an expert to also do it so I can compare...Thank you!

Question 1 2 p With a single-server model, DECREASING the service rate holding all other factors constant will decrease the average time customers spend in the system increase the utilization of the server decrease the probability that there are 3 or more customers in the system at any time increase the time in-between customer arrivals The athletic boosters club at Coral High plans a car wash to raise funds for the sports program. An average of 10 cars per hour are expected to arrive according to a Poisson distribution. They will be served at an average rate of 12 cars per hour, with exponential service times. What is the utilization rate? 83.33 (Provide two decimal places, no % sign, e.g., 2.12 for 2.12%.) What is the average number of cars in the system? 5 (express as a whole number, e.g., 10) What is the average time spent in line? 25 (minutes, (express as a whole number, e.g., 10)) What is the probability of having more than 3 cars in the system? 42.1 (Provide one decimal place, no % sign, e.g., 3.1 for 3.1%)