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If the diameter of a shaft (X) is normally distributed with mean µ and standard deviation σ, determine the probability density function of the area of cross section of the shaft, fy(y), where y = π x² TT

If the diameter of a shaft (X) is normally distributed with mean µ and standard deviation σ, determine the probability density function of the area of cross section of the shaft, fy(y), where y = π x² TT

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 4CR
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If the diameter of a shaft (X) is normally distributed with mean u and standard deviation o, determine the probability density function of the area of cross section of the shaft, fy(y), where = 7x². Y
Transcribed Image Text:If the diameter of a shaft (X) is normally distributed with mean u and standard deviation o, determine the probability density function of the area of cross section of the shaft, fy(y), where = 7x². Y
fy(y) 4y 4y 7.9788 [exp{-200( √#7 - 2)²} + exp{-200( − √ − 2)²}] - π TT
Transcribed Image Text:fy(y) 4y 4y 7.9788 [exp{-200( √#7 - 2)²} + exp{-200( − √ − 2)²}] - π TT
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