Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine

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Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article

“Methodology for Probabilistic Life Prediction of MultipleAnomaly Materials” (Amer. Inst. of Aeronautics and Astronautics J., 2006: 787–793) proposes a Poisson distribution for X. Suppose that .

a. Compute both and .

b. Compute .

c. Compute .

d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?

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