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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 80e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 3 - Problem 80e

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# Let X be the number of material anomalies occurring in a

ISBN: 9780321629111 32

## Solution for problem 80E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 80E

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 ? = 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?

Step-by-Step Solution:

Solution : Step 1 : Here X is the number of material anomalies occurring in particular region of an aircraft gas- turbine disk. And the article propose a poisson distribution X with = 4. Based on this we have to compute different probability.

Step 2 of 3

Step 3 of 3

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