Acceptance sampling with one method of acceptance sampling, a sample of items is

Question

Acceptance sampling with one method of acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defect. The niko electronic company has manufactured 2500 CD's, and 2% are defective. If 4 of the CD's are selected and tested, what is the probability that the entire batch will be rejected? Acceptance sampling with one method of acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defect. The niko electronic company has manufactured 2500 CD's, and 2% are defective. If 4 of the CD's are selected and tested, what is the probability that the entire batch will be rejected?

Explanation / Answer

Probabity of item being defective = 0.02

Probabity of item being not defective = 1-0.02 = 0.98

probability that the entire batch will be rejected = 1- probability that the entire batch are not defctive

= 1- 0.984 = 0.07763

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