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Suppose that 13% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.)

(a) What is the (approximate) probability that X is at most 30?

(b) What is the (approximate) probability that X is less than 30?

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