A tire manufacturer warranties its tries to last atleast 20099 miles or "you get a new set of tires" . In its experience , a set of these tires lasts on average 26099 miles with standard deviation 5022 miles . Assume that the wear is normally distributed . The manufacturer profits rs 200 on each set sold and replacing a set cost the manufacturer rs 400.  A) what is probability that a set of tire wears out before 20099 miles? B) what is the probability that a set of tires wears out before 24099 miles and after 20099 miles? C) what is the cutoff value in terms of miles of the top 11% wearing out tires?

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
Topic Video
Question

A tire manufacturer warranties its tries to last atleast 20099 miles or "you get a new set of tires" . In its experience , a set of these tires lasts on average 26099 miles with standard deviation 5022 miles . Assume that the wear is normally distributed . The manufacturer profits rs 200 on each set sold and replacing a set cost the manufacturer rs 400. 

A) what is probability that a set of tire wears out before 20099 miles?

B) what is the probability that a set of tires wears out before 24099 miles and after 20099 miles?

C) what is the cutoff value in terms of miles of the top 11% wearing out tires?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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