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In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials,...

In quality control technique, acceptance sampling is used to monitor incoming shipment of parts, raw materials, and so on. In the electronic industry, components parts are commonly shipped from suppliers in large lots. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 2%. Suppose a random of 5 items from a recent shipment is tested.

1. What is the appropriate distribution that can be used here? Explain why.

2. What is the probability of no items are defective?
3. What is the probability of exactly one item defective?
4. What is the probability of having at least one defective?

5. What is the probability of having a majority of items defective?
6. Would you feel comfortable accepting a lot with one defective item? Justify your answer.

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