Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed

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Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. The article

“Blade Fatigue Life Assessment with Application to VAWTS” (J. of Solar Energy Engr., 1982: 107–111) proposes the Rayleigh distribution, with pdf as a model for the X distribution.

a. Verify that is a legitimate pdf.

b. Suppose (a value suggested by a graph in the article). What is the probability that X is at most 200? Less than 200? At least 200?

c. What is the probability that X is between 100 and 200

(again assuming )?

d. Give an expression for .

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 21, 2024 10:04 AM

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Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed

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Probability And Statistics For Engineering And The Sciences

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