Electrical components from a supplier are shipped in batches of 50. 8 components are selected from each batch for inspection. If more than 2 components in the sample of 8 are found to be nonconforming then the batch is returned to the supplier. Suppose that each batch actually contains 45 conforming items and 5 nonconforming items. Find the probability that in the next 7 batches no more than 2 batches are returned to the supplier.

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