Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 5.8 years and a standard deviation of 1.1 years. The figure below shows the distribution of lifetimes of fluorescent lightbulbs. Calculate the shaded area under the curve.

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

Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 5.8 years and a standard deviation of 1.1 years. The figure below shows the distribution of lifetimes of fluorescent lightbulbs. Calculate the shaded area under the curve.

 

The image displays a bell-shaped curve representing a normal distribution of the lifetimes of fluorescent lightbulbs. The x-axis is labeled with two key points: 3.6 and 6.9, which likely represent the number of years or another unit of time. 

The shaded region under the curve between these two points highlights the range where most lightbulbs’ lifetimes fall. This shaded area indicates the portion of the lightbulbs that have lifetimes between 3.6 and 6.9 units. The bell shape of the curve suggests that lifetimes are distributed normally, with most lightbulbs having a lifetime near the average value (the peak of the curve), and fewer lightbulbs having lifetimes at the extremes.

The label at the bottom, "Lifetimes of Fluorescent Lightbulbs," provides context for the graph, indicating that the data pertains to how long these lightbulbs last before they fail or burn out. The graph provides a visual representation that helps in understanding the variability and distribution of the product lifespan.
Transcribed Image Text:The image displays a bell-shaped curve representing a normal distribution of the lifetimes of fluorescent lightbulbs. The x-axis is labeled with two key points: 3.6 and 6.9, which likely represent the number of years or another unit of time. The shaded region under the curve between these two points highlights the range where most lightbulbs’ lifetimes fall. This shaded area indicates the portion of the lightbulbs that have lifetimes between 3.6 and 6.9 units. The bell shape of the curve suggests that lifetimes are distributed normally, with most lightbulbs having a lifetime near the average value (the peak of the curve), and fewer lightbulbs having lifetimes at the extremes. The label at the bottom, "Lifetimes of Fluorescent Lightbulbs," provides context for the graph, indicating that the data pertains to how long these lightbulbs last before they fail or burn out. The graph provides a visual representation that helps in understanding the variability and distribution of the product lifespan.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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