54. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can...

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54. Suppose that 10% 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. What is the (approximate) probability that X is

a. At most 30?

b. Less than 30?

c. Between 15 and 25 (inclusive)?

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