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 Multiple-Anomaly Materials" (Amer. Inst. Of Aeronautics and Astronautics J., 2006: 787-793) proposes a Poisson distribution for X. Suppose that μ = 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 anomalies exceeds its mean value by no more than one standard deviation?
Distribution
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