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What is the probability of accepting a lot?

An electronics retailer orders digital cameras from a manufacturer. Specifically, the retailer orders

from the manufacturer one lot each week. A lot contains 1000 cameras. The retailer applies an

acceptance sampling plan as follows: the retailer inspects 30 cameras from each lot, and rejects the lot if

3 or more nonconforming items are found. From previous studies, it is known that each lot from this

manufacturer contains about 5% nonconforming cameras. According to this sampling plan performed by

the retailer, what is the probability of accepting a lot?

Solution:

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