Question

(8) At Reagan National Airport, there is 1 TSA line/security scanner open to check passengers for Terminal A. The passengers have exponentially distributed arrival and departure times. On average, 2 passengers arrive into the system every minute and it takes the scanner 25 seconds to process a passenger. What is the:

i) Average number of passengers in the queue

ii) Average waiting time in the queue

iii) Average waiting time in the system

iv) The probability that 4 or more passengers arrive within a 2-minute time period.

Answer 1