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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 34CR
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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 d) After how many hours will 85 out of a batch of 100 products have failed?
Transcribed Image Text: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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