Agents at the security gate at the Hurtsfield County RegionalAirport are able to check passengers and process themthrough the security gate at the rate of 52 per hour (Poissondistributed). Passengers arrive at the gate throughout the dayat the rate of 45 per hour (Poisson distributed).a. Determine the average waiting time and waiting line.
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!
Agents at the security gate at the Hurtsfield County Regional
Airport are able to check passengers and process them
through the security gate at the rate of 52 per hour (Poisson
distributed). Passengers arrive at the gate throughout the day
at the rate of 45 per hour (Poisson distributed).
a. Determine the average waiting time and waiting line.
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