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 f(x; 0) = = e-x²/(282) 02 0 X > O otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. X 02 e-x2/(202) dx = = 0 II 8 ° (b) Suppose = 110. 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 0 = 110)? (Round your answer to four decimal places.) (d) Give an expression for P(X ≤ ×). P(X ≤ x) =

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 f(x; 0) = = e-x²/(282) 02 0 X > O otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. X 02 e-x2/(202) dx = = 0 II 8 ° (b) Suppose = 110. 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 0 = 110)? (Round your answer to four decimal places.) (d) Give an expression for P(X ≤ ×). P(X ≤ x) =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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