12. [4/8 Points] Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tu

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12 4 8 Points Let X Denote The Vibratory Stress Psi On A Wind Turbine Blade At A Particular Wind Speed In A Wind Tu 1 (128.78 KiB) Viewed 10 times

12. [4/8 Points] Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Use the Rayleigh distribution, with pdf · e-x² / (20²) X f 8² f(x; 0) = DETAILS 0 as a model for the X distribution. "00 (a) Verify that f(x; 0) is a legitimate pdf. X 8² PREVIOUS ANSWERS e-x²/(28²) P(X ≤ x) = X> 0 otherwise 1 - e 20² dx = =0- 1 (d) Give an expression for P(X ≤ x). -e X (b) Suppose 0 = 141. What is the probability that X is at most 200? Less than 200? At least 200? (Round your answer to four decimal places.) at most 200 0.6321 less than 200 0.6291 at least 200 -1 x² 20² (c) What is the probability that X is between 100 and 200 (again assuming 0 = 141)? (Round your answer to four decimal places.) DEVORESTAT9 4.1.004. 0 MY NOTES ASK YOUR TEACHER