Answered: The lengths of time (in hours) an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The lengths of time (in hours) an incandescent light bulb can stay lit solidly are normally distributed, with a
mean of 62 hours and a standard deviation of 4.4 hours. Use this information to answer questions #16-20.
16. What percent of light bulbs can last within one standard deviation of the mean, between 57.6 hours
and 66.4 hours?
17. A company considers a bulb defective if it can only last 50 hours straight. What portion of light bulbs
would this company consider defective?
18. An energy-efficient bulb can stay lit for at least 68 hours. What percent of incandescent bulbs can stay
lit for that long?
19. What portion of light bulbs can stay lit for between 55 and 65 hours straight?
20. The top 2% of light bulbs can stay lit for at least how long?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

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