Problem 2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Con- sider a random sample of 200 shafts.

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Problem 2. Suppose that 10% of all steel shafts produced by a certain process
are nonconforming but can be reworked (rather than having to be scrapped). Con-
sider a random sample of 200 shafts.
a) What is the probability that the number of shafts that are nonconforming and
can be reworked is at most 45?
b) What is the probability that the number of shafts that are nonconforming and
can be reworked is more than 100 and less than 161?
c) What is the expected number of shafts that are nonconforming and can be
reworked?
Transcribed Image Text:Problem 2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Con- sider a random sample of 200 shafts. a) What is the probability that the number of shafts that are nonconforming and can be reworked is at most 45? b) What is the probability that the number of shafts that are nonconforming and can be reworked is more than 100 and less than 161? c) What is the expected number of shafts that are nonconforming and can be reworked?
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