The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N 3.3 0.6 b. What is the distribution of ? - N( 3.3 0.0973 c. What is the probability that one randomly selected laptop is replaced less than 3.4 years? 0.8480 d. For 38 laptops, find the probability that the average replacement time is less than 3.4 year.

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

see image question d 

The manager of a computer retails store is concerned that his suppliers have been giving him laptop
computers with lower than average quality. His research shows that replacement times for the model
laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years.
He then randomly selects records on 38 laptops sold in the past. Round the answers of following
questions to 4 decimal places.
a. What is the distribution of X? X - N 3.3
0.6
b. What is the distribution of ? - N( 3.3
0.0973
c. What is the probability that one randomly selected laptop is replaced less than 3.4 years?
0.8480
d. For 38 laptops, find the probability that the average replacement time is less than 3.4 year.
Transcribed Image Text:The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X - N 3.3 0.6 b. What is the distribution of ? - N( 3.3 0.0973 c. What is the probability that one randomly selected laptop is replaced less than 3.4 years? 0.8480 d. For 38 laptops, find the probability that the average replacement time is less than 3.4 year.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
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