Please do in excel

2. Customers arrive at an ATM at a rate of 75 per hour (assume that the arrival process can be described by a Poisson Distribution). The average time a customer spends at the machine (excludingwait time) is 45 seconds (assume exponential service time).

a) What type of queuing system is this?

b) What is the arrival rate ()?

c) What is the service rate ()?

d) What is the average amount of time that a customer will spend waiting in line (in minutes)?

e) How long (in minutes) should a customer who is on their way to the ATM expect to be there(i.e., from arrival at the queue until finishing their transaction)?

f) On average, how many customers are waiting to use the ATM?

g) What is the probability that a customer will arrive at the ATM and not have to wait at all?) Assume that a second machine is added (but customers wait in a single line), and hypothesize on how the line length and wait time will change. Calculate the answer.