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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 < 7). (c) Compute P(7 ≤ X). (d) What is the probability that the number of anomalies does not exceed the mean value by more than one standard deviation?

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 < 7). (c) Compute P(7 ≤ X). (d) What is the probability that the number of anomalies does not exceed the mean value by more than one standard deviation?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 < 7). (c) Compute P(7 ≤ 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 < 7). (c) Compute P(7 ≤ 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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