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b. It is suspected that a small number of components in a large batch are faulty. The proportion of faulty components is estimated to

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b. It is suspected that a small number of components in a large batch are faulty. The proportion of faulty components is estimated to be 1 in 500. A sample of 100 components are extracted. i. Justify why it is appropriate to use a Poisson distribution to calculate probabilities for the given information. ii. What is the probability of finding exactly 3 faulty components within the extracted sample?

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