Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunne Suppose that X has the following probability density function (called the Rayleigh probability density function). ƒ(x) = {(x/0²) e-x²/(20²) x > 0 otherwise

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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).
♫ (x/0²) e-x²/(20²) x > 0
f(x) = {(x
otherwise
(a) If 0 = 110, find the probability that the vibratory stress is between 99 and 331.
(b) If 0 = 110, then 79% 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). ♫ (x/0²) e-x²/(20²) x > 0 f(x) = {(x otherwise (a) If 0 = 110, find the probability that the vibratory stress is between 99 and 331. (b) If 0 = 110, then 79% of the time the vibratory stress is greater than what value?
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