The mean waiting time to pass through airport security at a small airport is 3 minutes....
The mean waiting time to pass through airport security at a small airport is 3 minutes. The wait time has an exponential distribution. Answer the following questions.
- What is the probability that the wait time will be less than or equal to 2 minutes?
- What is the probability that the wait time will be more than 3 minutes?
- What is the probability that the wait time will be between 2 and 5 minutes?
Homework Answers
Given that the average waiting time is 3 minutes
Waiting time follow Exponential distribution
The cdf of exponential distribution
Where 
Given 
Hence m=1/3
1) probability that wait time with be less than or equal to 2 minutes
2) probability that wait time will be more than 3 minutes
3) Probability that wait time will be between 2 and 5 minutes
Probability that waiting time will be between 2 and 5 minutes is 0.32
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