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Suppose that 22% of all steel shafts produced by a certain process are nonconforming but can...

Suppose that 22% 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 235 shafts, find the approximate probability that between 47 and 66 (inclusive) are nonconforming and can be reworked.
(b) In a random sample of 235 shafts, find the approximate probability that at least 54 are nonconforming and can be reworked.
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