Let X be the number of material anomalies occurring ina

Chapter 3, Problem 80

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Let X be the number of material anomalies occurring ina particular region of an aircraft gas-turbine disk. Thearticle Methodology for Probabilistic Life Predictionof Multiple-Anomaly Materials (Amer. Inst. ofAeronautics and Astronautics J., 2006: 787793) proposesa Poisson distribution for X. Suppose that m = 4.a. Compute both P(X # 4) and P(X , 4).b. Compute P(4 # X # 8).c. Compute P(8 # X).d. What is the probability that the number of anomaliesexceeds its mean value by no more than one standarddeviation?

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