I need help on this question. 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. What proportion of trucks can be expected to travel between 38,000 and 62,000 miles in the year? What percentage of the trucks travel less than 35,000 miles in the year? What percentage of the trucks travel more than 57,000 miles in the year? How many miles will be traveled by at least (equal to and more than) 72% of the trucks?
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!
I need help on this question.
Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is
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- What proportion of trucks can be expected to travel between 38,000 and 62,000 miles in the year?
- What percentage of the trucks travel less than 35,000 miles in the year?
- What percentage of the trucks travel more than 57,000 miles in the year?
- How many miles will be traveled by at least (equal to and more than) 72% of the trucks?
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