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. Using normal approximation what is the probability that X is: a. At most 30? b. Less than 30? c. Between 15 and 25 (inclusive)?

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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. Using normal approximation what is the probability that X is:
a. At most 30?
b. Less than 30?
c. Between 15 and 25 (inclusive)?

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