Please answer part d. Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a windtunnel. The article “Blade Fatigue Life Assessment with Application to VAWTS" (J. of Solar EnergyEngr., 1982: 107–111) proposes the Rayleigh distribution, with pdfa²/(26²)x > 0f(æ; 0) :otherwiseas a model for the X distribution.a. Verify that f(x; 0) is a legitimate pdf.b. Suppose 0 = 100 (a value suggested by a graph in the article). What is the probability that X is atmost 200? Less than 200? At least 200?c. What is the probability that X is between 100 and 200 (again assuming 0 = 100)?d. Give an expression for P(X < æ).

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Answered: d. Give an expression for P(X <æ).

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d. Give an expression for P(X <æ).

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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Let X denote the vibratory stress (psi) on a wind tur- bine 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 e-x²/(20) x> 0 f(x; 0) = { 0² 0. otherwise as a model for the X distribution. a. Verify that f(x; 0) is a legitimate pdf. b. Suppose 0 = 100 (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? с. What is the probability that X is between 100 and 200 (again assuming 0 = 100)? d. Give an expression for P(X< x).
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 {* -a² /(20²) x > 0 •e f(x; 0) = otherwise as a model for the X distribution. a. Verify that f(x; 0) is a legitimate pdf. b. Suppose 0 = 100 (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 0 = 100)? d. Give an expression for P(X < æ).
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