An airline is studying the average length of time that each plane spends on the ground at an airport. The plane's ground stays have an unknown distribution with a mean of 48 minutes and a standard deviation of 22 minutes. A sample of 50 planes is randomly taken from the population. Use Excel to calculate the probability that the average plane's ground stay for the sample will be greater than 55 minutes. Round to three decimal places.
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!
An airline is studying the average length of time that each plane spends on the ground at an airport. The plane's ground stays have an unknown distribution with a mean of 48 minutes and a standard deviation of 22 minutes. A sample of 50 planes is randomly taken from the population.
Use Excel to calculate the
Round to three decimal places.
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