Question

In: Statistics and Probability

The time required to pass through security screening at the airport can be annoying to travelers....

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%)

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