A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 15 and 30 thousand miles in a year? The proportion of trucks that can be expected to travel between 15 and 30 thousand miles in a year is 0.4137 . (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is 22 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 75% of the trucks? The number of miles that will be traveled by at least 75% of the trucks is (Round to the nearest mile as needed.) miles.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation
of 11 thousand miles. Complete parts (a) through (d) below.
a. What proportion of trucks can be expected to travel between 15 and 30 thousand miles in a year?
The proportion of trucks that can be expected to travel between 15 and 30 thousand miles in a year is 0.4137.
(Round to four decimal places as needed.)
b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year?
The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is 22 %.
(Round to two decimal places as needed.)
c. How many miles will be traveled by at least 75% of the trucks?
The number of miles that will be traveled by at least 75% 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 30 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 15 and 30 thousand miles in a year? The proportion of trucks that can be expected to travel between 15 and 30 thousand miles in a year is 0.4137. (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is 22 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 75% of the trucks? The number of miles that will be traveled by at least 75% of the trucks is miles. (Round to the nearest mile as needed.)
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