In: Statistics and Probability
| Suppose that 27% 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 167 shafts, find the approximate probability that between 30 and 54 (inclusive) are nonconforming and can be reworked. |
| (b) | In a random sample of 167 shafts, find the approximate probability that at least 48 are nonconforming and can be reworked. |












Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(1.64, TRUE)" & "=NORM.S.DIST(-2.72, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(0.42, TRUE)" to find the probability.

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