Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the

[answerhappygod]

Many of a bank’s customers use its automatic teller machine to
transact business after normal banking hours. During the early
evening hours in the summer months, customers arrive at a certain
location at the rate of one every other minute. This can be modeled
using a Poisson distribution. Each customer spends an average of 87
seconds completing his or her transactions. Transaction time is
exponentially distributed. a. Determine the average time customers
spend at the machine, including waiting in line and completing
transactions. (Do not round intermediate calculations. Round your
answer to the nearest whole number.) b. Determine the probability
that a customer will not have to wait upon arriving at the
automatic teller machine. (Round your answer to 2 decimal places.)
c. Determine the average number of customers waiting to use the
machine. (Round your answer to 2 decimal places.)