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Chemical engineering progress

According to Chemical Engineering Progress (Nov. 1990) approximately 30% of all pipework failures in chemical plants are caused by operator error.

(a) What is the probability that out of the next 20 pipework failures at least 10 are due to operator error?

(b) What is the probability that no more than 4 out of 20 such failures are due to operator error?

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Explain when you would use the Hypergeometric Probability Distribution rather than the Binomial Probability Distribution in solving a probability problem.