URGENT!! Please show all work and answer the questions fully! I will give excellent ratings if you answer it fully, so I can fully understand.

A fast food restaurant has customers arrive at the checkout counter at a rate of $25$ customers

per hour. The average check out time at the till is $85$ seconds.

a$)$ What is the utilization?

b$)$ What is probability that there are zero customers at the counter $($either in line or being

served$)?$

c$)$ What is the probability that there are two or more customers at the checkout counter?

d$)$ What is the probability that there are $1$ or $2$ customers at the counter?

d$)$ What is the average number of customers waiting in line?

e$)$ If the store wanted the average time in the system to be $5$ minutes, what would the service

rate have to be$?$

f$)$ What is the probability that checkout time will take between $1$ and $2$ minutes?

g$)$ What is the probability that checkout time will take more than $2$ minutes?