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. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30? (b) What is the (approximate) probability that X is less than 30? (c) What is the (approximate) probability that X is between 15 and 25 (inclusive)?
Added by Keith H.
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- The number of nonconforming shafts, \(X\), follows a binomial distribution with parameters \(n = 200\) (the number of trials) and \(p = 0.10\) (the probability of success on each trial). Show moreā¦
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Suppose that 11% 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. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30? (b) What is the (approximate) probability that X is less than 30?(c) What is the (approximate) probability that X is between 15 and 25 (inclusive)?
Michael N.
Suppose that 10$\%$ of all steel shafts produced by a 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 (a) At most 30$?$ (b) Less than 30$?$ (c) Between 15 and 25 (inclusive)?
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