In: Statistics and Probability
The time required to pass through security
screening at the
airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern
Kentucky International Airport is 12.1 minutes. Assume the time to pass through security screening
follows an exponential distribution.
a.
What is the probability it will take less than 10 minutes to pass through security screening during
a peak period?(25%)
(Note: without calculation process, no credit)
b.
What is the probability it will take more than 20 minutes to pass through security screening during a peak period?(25%)
(Note: without calculation process, no credit)
c.
What is the probability it will take between 10 and 20 minutes to pass through security screening during a peak period? (25%)
(Note: without calculation process, no credit)
d.
It is 8:00am (a peak period) and you just entered the security line. To catch your plane you must
be at the gate within 30 minutes. If it takes 12 minutes from the time you
clear security until you
reach your gate, what is the probability you will miss
your flight? (25%)