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). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate probability that X is (1) at most 30? (2) less than 30? (3) between 15 and 25 (inclusive)?

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Chapter1: Combinatorial Analysis
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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). Consider
a random sample of 200 shafts, and let X denote the number among these that are
nonconforming and can be reworked. What is the approximate probability that X
is
(1) at most 30?
(2) less than 30?
(3) between 15 and 25 (inclusive)?
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). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate probability that X is (1) at most 30? (2) less than 30? (3) between 15 and 25 (inclusive)?
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