Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is normally distributed, with a mean of 50,000 miles and a standard deviation of 12,000 miles. I need answer for both questions How many miles will be traveled by at least (equal to and more than) 72% of the trucks? How should Toby’s Trucking Co. use these percentages and proportions to make decision for the company?
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!
Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is
I need answer for both questions
How many miles will be traveled by at least (equal to and more than) 72% of the trucks?
How should Toby’s Trucking Co. use these percentages and proportions to make decision for the company?
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