According to the article Optimization of DistributionParameters for Estimating

Chapter 2, Problem 96

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According to the article Optimization of DistributionParameters for Estimating Probability of Crack Detection(J. of Aircraft, 2009: 20902097), the following Palmbergequation is commonly used to determine the probabilityPd(c) of detecting a crack of size c in an aircraft structure:where c* is the crack size that corresponds to a .5 detectionprobability (and thus is an assessment of the quality of theinspection process).a. Verify thatb. What is when ?c. Suppose an inspector inspects two different panels, onewith a crack size of c* and the other with a crack size of2c*. Again assuming and also that the results ofthe two inspections are independent of one another, whatis the probability that exactly one of the two cracks willbe detected?d. What happens to as ?

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