Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunn Suppose that X has the following probability density function (called the Rayleigh probability density function) f(x) [(x/0²) e-x²/(20²) x > 0 = {(x/6 otherwise (a) If 0 = 90, find the probability that the vibratory stress is between 73 and 190. (b) If = 90, then 83% of the time the vibratory stress is greater than what value?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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.
Suppose that X has the following probability density function (called the Rayleigh probability density function).
f(x)
S (x/0²) e-x²/(20²) x > 0
{o
otherwise
(a) If 0 = 90, find the probability that the vibratory stress is between 73 and 190.
(b) If = 90, then 83% of the time the vibratory stress is greater than what value?
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). f(x) S (x/0²) e-x²/(20²) x > 0 {o otherwise (a) If 0 = 90, find the probability that the vibratory stress is between 73 and 190. (b) If = 90, then 83% of the time the vibratory stress is greater than what value?
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