Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Suppose that X has the following probability density function (called the Rayleigh probability density function). [(x/0²) e-x/(20²) x > 0 f(x) = {(x otherwise = (a) If 0 103, find the probability that the vibratory stress is between 87 and 228. (b) If = 103, then 83% of the time the vibratory stress is greater than what value?
Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Suppose that X has the following probability density function (called the Rayleigh probability density function). [(x/0²) e-x/(20²) x > 0 f(x) = {(x otherwise = (a) If 0 103, find the probability that the vibratory stress is between 87 and 228. (b) If = 103, then 83% of the time the vibratory stress is greater than what value?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a
wind tunnel. Suppose that X has the following probability density function (called the
Rayleigh probability density function).
= {(x/
[(x/02) e-x²/(20²) x > 0
0
f(x) =
otherwise
(a) If = 103, find the probability that the vibratory stress is between 87 and 228.
(b) If 0 = 103, then 83% of the time the vibratory stress is greater than what value?
Round your answer to 4 decimals.
round your answer to 2 decimals
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