Question: 9. During a production process, 8 units are randomly selected everyday from the produced items to check the percent of defective items. From historical information


9. During a production process, 8 units are randomly selected everyday from the produced items to check the percent of defective items. From historical information it is known that the probability of a defective unit is 0.05. Any time 2 or more defectives are found in the sample of 8, the production is stopped. This procedure is used to provide an alert in case the chance of a defective item has increased. (a) [5 points) What is the probability that on any given day the production will be stopped? (Assume 5% defective. Don't calculate the result, just leave it as the binomial summation.) (b) [5 points. Suppose that the probability of a defective item increased to 0.07. What is the probability that on any given day the production will not be stopped? (Don't calculate the result, just leave it as the binomial summation.) All the best! Z. Bora N
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