# Sampling in Statistics and Acceptance Regions

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Q1 - The probability of accepting a lot that is 10% defective is .677. Does that mean, then, that the probability of rejecting the lot is 0.333?

Q2 - An acceptance sampling plan states that twenty 2-inch squares of the incoming material must be checked and if 3 or less squares are imperfect, the lot is accepted. What is the probability that a shipment that contains 40% imperfect cloth be accepted?

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This solution goes through sampling in statistics and acceptance regions.

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Q1 - The probability of accepting a lot that is 10% defective is .677. Does that mean, then, that the probability of rejecting the lot is 0.333?

Yes. Assuming that the only two actions that one can take are to either accepting the lot or rejecting the lot, the probability of rejecting the lot can be found by subtracting the probability of accepting the lot from 1. This assumes of course that the percent defective remains constant at 10%.

Q2 - An acceptance ...

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