There are three security lines, with each line capable of scanning 290 people per hour. People arrive in front of the security lines ("waiting plaza") at the rate of 850 per hour. What is the standard assumption of a Poisson distribution for arrivals and an exponential distribution for service times:

-What is the probability that there are no people in the waiting line?

-What is the average length (number of people) in the waiting line?

-What is the average number of minutes people spend waiting in line?