Concept explainers
The efficiency (in lumens per watt) of light bulbs of a certain type has population mean 9.5 and standard deviation .5, according to production specifications. The specifications for a room in which eight of these bulbs are to be installed call for the average efficiency of the eight bulbs to exceed 10. Find the
Compute the probability that this specification for the room will met.
Answer to Problem 88SE
The probability that this specification for the room will met is 0.0023.
Explanation of Solution
Let X be the efficiency of light bulbs of a certain type.
From the given information, X follows normal distribution with mean
Then,
Thus, the probability that this specification for the room will met is 0.0023.
Want to see more full solutions like this?
Chapter 7 Solutions
Mathematical Statistics with Applications
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman