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).Problem #8(a):Problem #8(b):f(x) =S (x10²) e-x2²/(20²) x > 0ootherwise(a) If 0 = 96, find the probability that the vibratory stress is between 83 and 375.(b) If = 96, then 80% of the time the vibratory stress is greater than what value?Round your answer to 4 decimals.round your answer to 2 decimals

Given density function, fx=xθ2e-x22θ2, x>0 a) If θ=96, fx=x962e-x22*962, x>0…

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/0²) e-x²/(20²) x > 0 0 otherwise (a) If = 96, find the probability that the vibratory stress is between 83 and 375. (b) If = 96, then 80% of the time the vibratory stress is greater than what value?

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/0²) e-x²/(20²) x > 0 0 otherwise (a) If = 96, find the probability that the vibratory stress is between 83 and 375. (b) If = 96, then 80% of the time the vibratory stress is greater than what value?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Could you solve this question and put explanation as well please Thank you.