Question: A government task force suspects that some manufacturing companies are in violation of federal pollution regulations with regard to dumping a certain type of product.

A government task force suspects that some manufacturing companies are in violation of federal pollution regulations with regard to dumping a certain type of product. Twenty firms are under suspicion but all cannot be inspected. Suppose that 3 of the firms are; in violation.

(a) What is the probability that inspection of 5 firms finds no violations?

(b) What is the probability that the plan above will find two violations?

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