A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 80 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 66 and 80 thousand miles in a year? The proportion of trucks that can be expected to travel between 66 and 80 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 55 or more than 95 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 55 or more than 95 thousand miles in a year is %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 85% of the trucks? The amount of miles that will be traveled by at least 85% 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
icon
Related questions
Topic Video
Question

I'm having a hard time understanding how to solve a,b,c in this problem looking for guidance to the solutions, thank you!

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 80 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 66 and 80 thousand miles in a year?
The proportion of trucks that can be expected to travel between 66 and 80 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 55 or more than 95 thousand miles in a year?
The percentage of trucks that can be expected to travel either less than 55 or more than 95 thousand miles in a year is
%.
(Round to two decimal places as needed.)
c. How many miles will be traveled by at least 85% of the trucks?
The amount 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 80 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 66 and 80 thousand miles in a year? The proportion of trucks that can be expected to travel between 66 and 80 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 55 or more than 95 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 55 or more than 95 thousand miles in a year is %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 85% of the trucks? The amount of miles that will be traveled by at least 85% of the trucks is miles. (Round to the nearest mile as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill