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 54 and 70 thousand miles in a year? The proportion of trucks that can be expected to travel between 54 and 70 thousand miles in a year is (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 50 or more than 80 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 50 or more than 80 thousand miles in a year is%. (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 miles. (Round to the nearest mile as needed.)

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 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 54 and 70 thousand miles in a year?
The proportion of trucks that can be expected to travel between 54 and 70 thousand miles in a year is
(Round to four decimal places as needed.)
b. What percentage of trucks can be expected to travel either less than 50 or more than 80 thousand miles in a year?
The percentage of trucks that can be expected to travel either less than 50 or more than 80 thousand miles in a year is
%.
(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
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 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 54 and 70 thousand miles in a year? The proportion of trucks that can be expected to travel between 54 and 70 thousand miles in a year is (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 50 or more than 80 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 50 or more than 80 thousand miles in a year is %. (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 miles. (Round to the nearest mile as needed.)
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