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 ? = 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).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 ? = 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).
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