Customers arrive at a busy food truck according to a Poisson process with parameter λ. If there are i people already in line, the customer will join the line with probability 1/(i +1). Assume that the chef at the truck takes, on average, a minutes to process an order. Required:
a. Find the long-term average number of people in line.
b. Find the long-term probability that there are at least two people in line.