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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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?
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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