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 Rayleigh pdf. f (x)  = { (x/θ2) e−x2/(2θ2) x  >  0 0 otherwise (a) If θ = 104, find the probability that the vibratory stress is between 102 and 378. (b) If θ = 104, then 71% of the time the vibratory stress is greater than what value?

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