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et X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. he article, “Blade Fatigue Life Assessment with Applications to VAWTS," J. Solar Energy Engr., (1982), pp 07--111, proposes the Rayleigh distribution as a model for the X distribution. Here is the pdf of the model. * e/(2 6), х> 0, f(x, 0) = 0, otherwise. 1. Suppose that 0= 100 (a value suggested by a graph in the article). What is the probability that X is at ost 200? Less that 200? At least 200? 2. What is the probability that X is between 100 and 200, assuming 0= 100, as before? 3. Determine the expression of the cdf, F(x, 0) = P(X< x).

et X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. he article, “Blade Fatigue Life Assessment with Applications to VAWTS," J. Solar Energy Engr., (1982), pp 07--111, proposes the Rayleigh distribution as a model for the X distribution. Here is the pdf of the model. * e/(2 6), х> 0, f(x, 0) = 0, otherwise. 1. Suppose that 0= 100 (a value suggested by a graph in the article). What is the probability that X is at ost 200? Less that 200? At least 200? 2. What is the probability that X is between 100 and 200, assuming 0= 100, as before? 3. Determine the expression of the cdf, F(x, 0) = P(X< x).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 AsSsessment with Applications to VAWTS," J. Solar Energy Engr., (1982), pp 107--111, proposes the Rayleigh distribution as a model for the X distribution. Here is the pdf of the model. i e/(2 0), x> 0, f(x, 0) = 0, otherwise. 1 1.1. Suppose that 0= 100 (a value suggested by a graph in the article). What is the probability that X is at most 200? Less that 200? At least 200? 1.2. What is the probability that X is between 100 and 200, assuming 0 = 100, as before? 1 1.3. Determine the expression of the cdf, F(x, 0) = P(X<x). %3D
Transcribed Image Text: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 AsSsessment with Applications to VAWTS," J. Solar Energy Engr., (1982), pp 107--111, proposes the Rayleigh distribution as a model for the X distribution. Here is the pdf of the model. i e/(2 0), x> 0, f(x, 0) = 0, otherwise. 1 1.1. Suppose that 0= 100 (a value suggested by a graph in the article). What is the probability that X is at most 200? Less that 200? At least 200? 1.2. What is the probability that X is between 100 and 200, assuming 0 = 100, as before? 1 1.3. Determine the expression of the cdf, F(x, 0) = P(X<x). %3D
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