Question: Most international flights arrive at Dulles International Airport (IAD) during the afternoon. CBP officials need to check documents and process arriving passengers. Some passengers, such as returning US citizens, require a short time to process. Others, such as non US citizens, will require much longer processing times. Let x be the time taken by CBP to process an arriving international passenger at IAD. We will assume that x is uniformly distributed between 30 and 140 minutes. [Be sure to show your calculations for parts (b) through (f).]

1. Draw the probability distribution of x.
2. What is the probability that it will take between 45 and 60 minutes to process an international passenger?
3. What is the expected value of processing time?
4. What is the probability that the processing time of a passenger will be within ± one standard deviation of the mean?
5. Does the empirical rule apply to this distribution? Why or why not?
6. A passenger has already been waiting in line for 50 minutes. What is the likelihood the passenger will be processed within the next 10 minutes?

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