Solution: Let X denote the vibratory stress (psi) on a wind
Chapter 4, Problem 4.12(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 with Application to VAWTS (J. Solar Energy Engr., 1982: 107111) proposes the Rayleigh distribution, with pdf f(x; ) x 2 e x2 /(2 2 ) x 0 0 otherwise as a model for the X distribution. a. Verify that f(x; ) is a legitimate pdf. b. Suppose 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 100)? d. Give an expression for P(X x).
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