Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 8.4 years and a standard deviation of 0.8 years. Find the probability that a randomly selected DVD player will have a replacement time less than 6.1 years? P(X < 6.1 years) = Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If the company wants to provide a warranty so that only 3.3% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty? warranty = years

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
icon
Concept explainers
Question
**Question 2**

Company XYZ knows that replacement times for the DVD players it produces are normally distributed with a mean of 8.4 years and a standard deviation of 0.8 years.

1. Find the probability that a randomly selected DVD player will have a replacement time less than 6.1 years.  
   \( P(X < 6.1 \text{ years}) = \) [ ______ ]

   Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

2. If the company wants to provide a warranty so that only 3.3% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty?  
   Warranty = [ ______ ] years

   Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

[Submit Question]
Transcribed Image Text:**Question 2** Company XYZ knows that replacement times for the DVD players it produces are normally distributed with a mean of 8.4 years and a standard deviation of 0.8 years. 1. Find the probability that a randomly selected DVD player will have a replacement time less than 6.1 years. \( P(X < 6.1 \text{ years}) = \) [ ______ ] Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. 2. If the company wants to provide a warranty so that only 3.3% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty? Warranty = [ ______ ] years Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. [Submit Question]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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
  • SEE MORE 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