5.5 According to Chemical Engineering Progress (November 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? (c) Suppose, for a particular plant, that out of the ran- dom sample of 20 such failures, exactly 5 are due to operator error. Do you feel that the 30% figure stated above applies to this plant? Comment.

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Chapter11: Data Analysis And Probability
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5.5 According to Chemical Engineering Progress
(November 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?
(c) Suppose, for a particular plant, that out of the ran-
dom sample of 20 such failures, exactly 5 are due
to operator error. Do you feel that the 30% figure
stated above applies to this plant? Comment.
Transcribed Image Text:5.5 According to Chemical Engineering Progress (November 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? (c) Suppose, for a particular plant, that out of the ran- dom sample of 20 such failures, exactly 5 are due to operator error. Do you feel that the 30% figure stated above applies to this plant? Comment.
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