The article Second Moment Reliability Evaluationvs. Monte

Chapter 4, Problem 7

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The article Second Moment Reliability Evaluationvs. Monte Carlo Simulations for Weld FatigueStrength (Quality and Reliability Engr. Intl., 2012:887896) considered the use of a uniform distributionwith A 5 .20 and B 5 4.25 for the diameter X of a certaintype of weld (mm).a. Determine the pdf of X and graph it.b. What is the probability that diameter exceeds 3 mm?c. What is the probability that diameter is within 1 mmof the mean diameter?d. For any value a satisfying .20 , a , a + 1 , 4.25,what is P(a , X , a 1 1)?

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