Let X denote the vibratory stress (psi) on a
Chapter 4, Problem 4(choose chapter or problem)
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 withApplication to VAWTS (J. of Solar Energy Engr., 1982:107111) proposes the Rayleigh distribution, with pdff(x; u) 5 5xu2 ? e2x 2y(2u2) x . 00 otherwiseas a model for the X distribution.a. Verify that f(x; u) is a legitimate pdf.b. Suppose u 5 100 (a value suggested by a graph inthe article). What is the probability that X is at most200? Less than 200? At least 200?c. What is the probability that X is between 100 and200(again assuming u 5 100)?d. Give an expression for P(X # x).
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