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.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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