et X be the number of material anomalies occur f Multiple-Anomaly Materials"+ proposes a Poiss (a) Compute both P(X ≤ 4) and P(X < 4). P(X ≤ 4) = P(X < 4) = (b) Compute (4 Y ≤ 61

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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"+ 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 ≤ 6).
(c) Compute P(6 ≤ X).
(d) What is the probability that the number of anomalies does not exceed the mean value by more than one standard deviation?
Transcribed Image Text: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 ≤ 6). (c) Compute P(6 ≤ X). (d) What is the probability that the number of anomalies does not exceed the mean value by more than one standard deviation?
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