Problem #8: 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)={(((x)/( theta ^(2)))e^(-(x^(2))/(2 theta ^(2))),x0),(0 otherwise ):} (a) If theta =96, find the pro

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Problem #8: 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)={(((x)/( theta ^(2)))e^(-(x^(2))/(2 theta ^(2))),x>0),(0 otherwise ):} (a) If  theta =96, find the probability that the vibratory stress is between 76 and 174 . (b) If  theta =96, then 86% of the time the vibratory stress is greater than what value? Problem #8(a): Problem #8(b): Round your answer to 4 decimals. round your answer to 2 decimals

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