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 12 thousand miles. a. What proportion of trucks can be expected to travel between 16 and 30 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 16 and 30 thousand miles in a year is 0.3784 ​

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Please help with part D, thanks!

 

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 12 thousand miles.

a. What proportion of trucks can be expected to travel between 16 and 30 thousand miles in a​ year?
The proportion of trucks that can be expected to travel between 16 and 30
thousand miles in a year is 0.3784
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 25.02%
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 21,906 miles.
d. What are your answers to parts​ (a) through​ (c) if the standard deviation is 10 thousand​ miles?
If the standard deviation is 10 thousand​ miles, the proportion of trucks that can be expected to travel between 16 and 30 thousand miles in a year is ???
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman