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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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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