A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (d) below. TRound to ioui decimai piaces as needed.) b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is 25.02 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 75% of the trucks? The number of miles that will be traveled by at least 75% of the trucks is 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!
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