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).

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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?

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