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3. (Devore 3.80) Let X be the number of material anomalies occurring in a particular region...

3. (Devore 3.80) 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., 2006:787793) proposes a Poisson distribution for X. Suppose thatμ= 4.(a) Compute bothP(X≤4) andP(X <4).(

b) ComputeP(4≤X≤8).

(c) ComputeP(8≤X).

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

Math   Statistics-And-Probability   
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Let X be the number of material anomalies occurring in a particular region of an aircraft...
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"† proposes a Poisson distribution for X. Suppose that μ = 4. (Round your answers to three decimal places.) (a) Compute both P(X ≤ 4) and P(X < 4). P(X ≤ 4) = P(X < 4) = (b) Compute P(4 ≤ X ≤ 9). (c) Compute P(9 ≤ X). (d) What is the...
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