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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 -x2/(282) x >0 f(x; 0) = { 02 otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. e-x2/(202) dx = 82 = 0 (b) Suppose e = 150. 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 less than 200 at least 200 (c) What is the probability that X is between 100 and 200 (again assuming e = 150)? (Round your answer to four decimal places.) (d) Give an expression for P(X < x). P(X Sx) =

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 -x2/(282) x >0 f(x; 0) = { 02 otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. e-x2/(202) dx = 82 = 0 (b) Suppose e = 150. 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 less than 200 at least 200 (c) What is the probability that X is between 100 and 200 (again assuming e = 150)? (Round your answer to four decimal places.) (d) Give an expression for P(X < x). P(X Sx) =

A First Course in Probability (10th Edition)
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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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 -x2/(282) x >0 f(x; 0) = { 02 otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. e-x2/(202) dx = 82 = 0 (b) Suppose e = 150. 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 less than 200 at least 200 (c) What is the probability that X is between 100 and 200 (again assuming e = 150)? (Round your answer to four decimal places.) (d) Give an expression for P(X < x). P(X Sx) =
Transcribed Image Text: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 -x2/(282) x >0 f(x; 0) = { 02 otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. e-x2/(202) dx = 82 = 0 (b) Suppose e = 150. 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 less than 200 at least 200 (c) What is the probability that X is between 100 and 200 (again assuming e = 150)? (Round your answer to four decimal places.) (d) Give an expression for P(X < x). P(X Sx) =
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