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?