What is percent of the time does the typical TSA agent spend actively screening passengers? Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this period, approximately 3 passengers arrive every minute (Poisson distributed), what is the minimum number of lines that should be open to accommodate the additional passenger traffic if each line has only one TSA agent assigned to it?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Given the following information,
The average number of passengers waiting to be screened is 6.785, the average amount of time spent is line waiting is .147 minutes, and average amount of time spent in the screening system is .166
Please answer the 2 following questions:
- What is percent of the time does the typical TSA agent spend actively screening passengers?
- Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this period, approximately 3 passengers arrive every minute (Poisson distributed), what is the minimum number of lines that should be open to accommodate the additional passenger traffic if each line has only one TSA agent assigned to it?
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