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Q) In an inspection scheme, a sample of 20 items is randomly selected from a large batch and the number of defective items is noted.

Q) In an inspection scheme, a sample of 20 items is randomly selected from a large batch and the number of defective items is noted. If this number is more than 2, the batch is rejected; if it is less than 2, the batch is accepted. If the number of defective items is exactly 2, a further sample of 10 items is taken and the batch is rejected if this second sample has any defective items. If the proportion of defective items in a particular batch is 2%, what is the probability that the batch is accepted?

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