A small airport has two TSA personnel to inspect passengers on their way to board their flights. Passengers arrive at a rate of about 21 an hour. Each TSA inspector can process about 14 passengers per hour. HINT: Use the formulas on page 791 (Basic Relationships), the formulas in Table 18.3, and the numbers in Table 18.4, to answer these questions.
Use Table 1
a. How many passengers would likely be at the TSA station, including those waiting in line and those being processed? (Round your answer to 3 decimal places.)
b. When a passenger arrives at the airport, how many minutes would it take them to get through the security line? (Round your answer to 2 decimal places.)
c. Calculate the probability that the two TSA personnel would be busy at any one time, that is, the probability that an arriving passenger will have to wait to be inspected. (Round your answer to 4 decimal places.)
d. How long (in minutes) would the waiting time be for a passenger who is not immediately checked? (Round to the nearest integer)