Question

Interest centers on Young’s modulus, E, for steel members of the Golden Gate Bridge. Assume that...

Interest centers on Young’s modulus, E, for steel members of the Golden Gate Bridge. Assume that the randomness E can be described by a normal random variable. Its mean and standard deviation were estimated as 29,575 ksi and 1,500 ksi, respectively. The design value of Young’s modulus for steel is 29,000 ksi. Assume E can be measured to any degree of precision. Clearly state which distribution you are using to arrive at your solution, for all parts of this question. (a) Calculate the probability of E having a value between 28,600 ksi and 30,200 ksi (b) Calculate the probability of E being greater than the design value. (c) What is the value of E that is exceeded 95% of the time?

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