Suppose 4

Suppose that 14% 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.
a) What is the probability that X is at most 30?
b) What is the probability that X is less than 30?
c) What is X's probability of being between 15 and 25 (inclusive)?

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