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The metal “skin” of an airplane is inspected carefully at the time of assembly a

ID: 2931771 • Letter: T

Question

The metal “skin” of an airplane is inspected carefully at the time of assembly and any flaws that are found are corrected. Suppose the average number of flaws found in these inspections is 0.10 per square foot. Assume all the Poisson conditions are met. Use the Poisson probability function to determine the probability of finding

The metal “skin” of an airplane is inspected carefully at the time of assembly and any flaws that are found are corrected. Suppose the average number of flaws found in these inspections is 0.10 per square foot. Assume all the Poisson conditions are met. Use the Poisson probability function to determine the probability of finding

A.)  no flaws in a 20 square foot area. (Round answer to 4 decimal places, e.g. 15.7521.)

Explanation / Answer

a)

mean = 0.10 per square feet

hence for 20 square foot

mean = 0.10 *20 = 2

P(X = 0 ) = e^(-2)

= 0.13533

= 0.1353

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