c) An engineering company manufactures a product with a mean of 48,000 and a standard deviation of 6,000. Assuming a Normal Distribution, find the probability of a product failing: i) After less than 47,000 hours ii) After more than 54,000 hours iii) Between 46,000 and 54,000 hours
c) An engineering company manufactures a product with a mean of 48,000 and a standard deviation of 6,000. Assuming a Normal Distribution, find the probability of a product failing: i) After less than 47,000 hours ii) After more than 54,000 hours iii) Between 46,000 and 54,000 hours
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![a) Briefly explain the main features of the Normal Distribution and how they
are used. (Your answer should include the graphical representation, basic terminology,
equation and use of the table.)
b) Use the probability table to estimate the percentage of values which
would be expected to fall within:
±1 standard deviation either side of the mean
±2 standard deviations either side of the mean
i)
ii)
iii)
±3 standard deviations either side of the mean
Discuss your findings with the aid of a suitable diagram.
c) An engineering company manufactures a product with a mean of 48,000 and a standard
deviation of 6,000.
Assuming a Normal Distribution, find the probability of a product failing: -
i) After less than 47,000 hours
ii) After more than 54,000 hours
iii) Between 46,000 and 54,000 hours
d) After how many hours will 85 out of a batch of 100 products have failed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a441fa8-a13d-4eef-bf76-29c3d49d9f51%2Fed3c5813-6336-4a5a-8ba7-12950bc9b3bd%2Fim23aof_processed.png&w=3840&q=75)
Transcribed Image Text:a) Briefly explain the main features of the Normal Distribution and how they
are used. (Your answer should include the graphical representation, basic terminology,
equation and use of the table.)
b) Use the probability table to estimate the percentage of values which
would be expected to fall within:
±1 standard deviation either side of the mean
±2 standard deviations either side of the mean
i)
ii)
iii)
±3 standard deviations either side of the mean
Discuss your findings with the aid of a suitable diagram.
c) An engineering company manufactures a product with a mean of 48,000 and a standard
deviation of 6,000.
Assuming a Normal Distribution, find the probability of a product failing: -
i) After less than 47,000 hours
ii) After more than 54,000 hours
iii) Between 46,000 and 54,000 hours
d) After how many hours will 85 out of a batch of 100 products have failed?
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