Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56 hours and a standard deviation of 3.2 hours. With this​ information, answer the following questions.   ​(a) What proportion of light bulbs will last more than 61 ​hours? ​(b) What proportion of light bulbs will last 50 hours or​ less? ​(c) What proportion of light bulbs will last between 59 and 61 ​hours? ​(d) What is the probability that a randomly selected light bulb lasts less than 45 ​hours? ​(a) The proportion of light bulbs that last more than 61 hours is nothing. ​(Round to four decimal places as​ needed.)

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
Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of
56
hours and a standard deviation of
3.2
hours. With this​ information, answer the following questions.
 
​(a) What proportion of light bulbs will last more than
61
​hours?
​(b) What proportion of light bulbs will last
50
hours or​ less?
​(c) What proportion of light bulbs will last between
59
and
61
​hours?
​(d) What is the probability that a randomly selected light bulb lasts less than
45
​hours?
​(a) The proportion of light bulbs that last more than
61
hours is
nothing.
​(Round to four decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 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
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