A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 60 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 45 and 60 thousand miles in a year? The proportion of trucks that can be expected to travel between 45 and 60 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 45 or more than 80 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 45 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 70% of the trucks? The number of miles that will be traveled by at least 70% of the trucks is miles. (Round to the nearest mile as needed.)
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 60 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 45 and 60 thousand miles in a year? The proportion of trucks that can be expected to travel between 45 and 60 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 45 or more than 80 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 45 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 70% of the trucks? The number of miles that will be traveled by at least 70% 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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Question
Transcribed Image Text:A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 60 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 45 and 60 thousand miles in a year?
The proportion of trucks that can be expected to travel between 45 and 60 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 45 or more than 80 thousand miles in a year?
The percentage of trucks that can be expected to travel either less than 45 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 70%
the trucks?
The number of miles that will be traveled by at least 70% of the trucks is
miles.
(Round to the nearest mile as needed.)
d. What are your answers to parts (a) through (c) if the standard deviation is 7 thousand miles?
If the standard deviation is 7 thousand miles, the proportion of trucks that can be expected to travel between 45 and 60 thousand miles in a year is
(Round to four decimal places as needed.)
If the standard deviation is 7 thousand miles, the percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is
%.
(Round to two decimal places as needed.)
If the standard deviation is 7 thousand miles, the number of miles that will be traveled by at least 70% of the trucks is
miles.
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