Please solve a, b, c, and d. 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 pdfXa-foe-x²/(20²)=0²f(x; 0)0as a model for the X distribution.X > 0otherwise(a) Verify that f(x; 0) is a legitimate pdf.X√²/2² · e-x2²/(202²) dx =6°е0-0(b) Suppose 0 = 144. 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 200less than 200at least 200(c) What is the probability that X is between 100 and 200 (again assuming 0 = 144)? (Round your answer to four decimal places.)(d) Give an expression for P(X ≤ x).P(X ≤ x) =

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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. Use the Rayleigh distribution, with pdf {0² · e-x²1 (20²) f(x; 0) = 8² 0 as a model for the X distribution. x > 0 otherwise (a) Verify that f(x; 0) is a legitimate pdf. √²/27 · e-x2²/1(20²) dx = less than 200 at least 200 =0- (b) Suppose 0 = 144. 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 (c) What is the probability that X is between 100 and 200 (again assuming 0 = 144)? (Round your answer to four decimal places.)

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 {0² · e-x²1 (20²) f(x; 0) = 8² 0 as a model for the X distribution. x > 0 otherwise (a) Verify that f(x; 0) is a legitimate pdf. √²/27 · e-x2²/1(20²) dx = less than 200 at least 200 =0- (b) Suppose 0 = 144. 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 (c) What is the probability that X is between 100 and 200 (again assuming 0 = 144)? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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