Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Suppose that X has the following Rayleigh pdf. f (x) = { (x/θ2) e−x2/(2θ2) x > 0 0 otherwise (a) If θ = 104, find the probability that the vibratory stress is between 102 and 378. (b) If θ = 104, then 71% of the time the vibratory stress is greater than what value?

Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Suppose that X has the following Rayleigh pdf. f (x) = { (x/θ2) e−x2/(2θ2) x > 0 0 otherwise (a) If θ = 104, find the probability that the vibratory stress is between 102 and 378. (b) If θ = 104, then 71% of the time the vibratory stress is greater than what value?

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.

Chapter5: Graphs And The Derivative

Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test

Problem 63E

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