Suppose that an airport reports that the average time it takes for a person to get through security in 25 minutes. Assume the variable is approximately normally distributed with a standard deviation of 4.5 minutes. If 102 people were selected at random, how many would be expected to make it through security in less than 20 minutes? Approximately _________would make it through in less than 20 minutes.
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!
Suppose that an airport reports that the average time it takes for a person to get through security in 25 minutes. Assume the variable is approximately
Approximately _________would make it through in less than 20 minutes.
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