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trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 40 thousand miles and a standard deviation of 12 thousand miles. omplete parts (a) through (d) below. What proportion of trucks can be expected to travel between 25 and 40 thousand miles in a year? he proportion of trucks that can be expected to travel between 25 and 40 thousand miles in a year is 0.3944. Round to four decimal places as needed.) .What percentage of trucks can be expected to travel either less than 25 or more than 60 thousand miles in a year? he percentage of trucks that can be expected to travel either less than 25 or more than 60 thousand miles in a year is 15.34 %. Round to two decimal places as needed.)

trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 40 thousand miles and a standard deviation of 12 thousand miles. omplete parts (a) through (d) below. What proportion of trucks can be expected to travel between 25 and 40 thousand miles in a year? he proportion of trucks that can be expected to travel between 25 and 40 thousand miles in a year is 0.3944. Round to four decimal places as needed.) .What percentage of trucks can be expected to travel either less than 25 or more than 60 thousand miles in a year? he percentage of trucks that can be expected to travel either less than 25 or more than 60 thousand miles in a year is 15.34 %. Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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a and b

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 40 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 25 and 40 thousand miles in a year? The proportion of trucks that can be expected to travel between 25 and 40 thousand miles in a year is 0.3944. (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 25 or more than 60 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 25 or more than 60 thousand miles in a year is 15.34 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 85% of the trucks? The number of miles that will be traveled by at least 85% of the trucks is 27,563 miles. (Round to the nearest mile as needed.) d. What are your answers to parts (a) through (c) if the standard deviation is 10 thousand miles? If the standard deviation is 10 thousand miles, the proportion of trucks that can be expected to travel between 25 and 40 thousand miles in a year is 0.4332. (Round to four decimal places as needed.) If the standard deviation is 10 thousand miles, the percentage of trucks that can be expected to travel either less than 25 or more than 60 thousand miles in a year is 8.96 %. (Round to two decimal places as needed.) If the standard deviation is 10 thousand miles, the number of miles that will be traveled by at least 85% of the trucks is miles. (Round to the nearest mile as needed.)
Transcribed Image Text:A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 40 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 25 and 40 thousand miles in a year? The proportion of trucks that can be expected to travel between 25 and 40 thousand miles in a year is 0.3944. (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 25 or more than 60 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 25 or more than 60 thousand miles in a year is 15.34 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 85% of the trucks? The number of miles that will be traveled by at least 85% of the trucks is 27,563 miles. (Round to the nearest mile as needed.) d. What are your answers to parts (a) through (c) if the standard deviation is 10 thousand miles? If the standard deviation is 10 thousand miles, the proportion of trucks that can be expected to travel between 25 and 40 thousand miles in a year is 0.4332. (Round to four decimal places as needed.) If the standard deviation is 10 thousand miles, the percentage of trucks that can be expected to travel either less than 25 or more than 60 thousand miles in a year is 8.96 %. (Round to two decimal places as needed.) If the standard deviation is 10 thousand miles, the number of miles that will be traveled by at least 85% of the trucks is miles. (Round to the nearest mile as needed.)
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