A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 70 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (c) below. a. What proportion of trucks can be expected to travel between 53 and 70 thousand miles in a year? The proportion of trucks that can be expected to travel between 53 and 70 thousand miles in (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 45 or more than 90 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 45 or more than 90 thousand miles in a year is 6.63 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 60% of the trucks? The amount of miles that will be traveled by at least 60% of the trucks is (Round to the nearest mile as needed.) year is 0.4192. miles.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 70 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (c) below.
a. What proportion of trucks can be expected to travel between 53 and 70 thousand miles in a year?
The proportion of trucks that can be expected to travel between 53 and 70 thousand miles in a year is 0.4192.
(Round to four decimal places as needed.)
b. What percentage of trucks can be expected to travel either less than 45 or more than 90 thousand miles in a year?
The percentage of trucks that can be expected to travel either less than 45 or more than 90 thousand miles in a year is 6.63 %.
(Round to two decimal places as needed.)
c. How many miles will be traveled by at least 60% of the trucks?
The amount of miles that will be traveled by at least 60% of the trucks is
(Round to the nearest mile as needed.)
miles.
Transcribed Image Text:A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 70 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (c) below. a. What proportion of trucks can be expected to travel between 53 and 70 thousand miles in a year? The proportion of trucks that can be expected to travel between 53 and 70 thousand miles in a year is 0.4192. (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 45 or more than 90 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 45 or more than 90 thousand miles in a year is 6.63 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 60% of the trucks? The amount of miles that will be traveled by at least 60% of the trucks is (Round to the nearest mile as needed.) miles.
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