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? How should Toby’s Trucking Co. use these percentages and proportions to make decision for the company?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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?

How should Toby’s Trucking Co. use these percentages and proportions to make decision for the company?

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