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Suppose that 24% of all steel shafts produced by a certain process are nonconforming but can...

Suppose that 24% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
(a) In a random sample of 183 shafts, find the approximate probability that between 29 and 52 (inclusive) are nonconforming and can be reworked.
(b) In a random sample of 183 shafts, find the approximate probability that at least 48 are nonconforming and can be reworked.

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