Normal distribution The mean number of miles driven per vehicle annually is 12,456 miles. Choose a randomly selected vehicle, and assume the annual mileage is normally distributed with a standard deviation of 1322 miles. a.) What is the probability that the vehicle was driven more than 16,000 miles? b.) If 123 vehicles were randomly selected, approximately how many vehicles were driven between 12000 and 16000 miles
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!
Normal distribution The
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