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A process has a mean of 1.25 and a standard deviation of 0.03. The customer wants the process to have a mean between 1.15 and 1.40.

Question 52 (1 point)

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What is the process capability index (C_pk).

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Question 53 (1 point)

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What is the process capability index (C_p).

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Question 54 (1 point)

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A product is composed of three parts. In order for the product to function properly in a given situation, each of the parts must function. The probabilities of functioning properly for the three parts are 0.93, 0.82, and 0.93 respectively. What is the overall probability that the product will function properly?

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A component is absolutely critical to the proper functioning of a product. It has a reliability of 0.53. To improve its reliability, the firm has designed in two backup components with reliabilities of 0.59 and 0.68 respectively. All three must fail in order for the product to fail. What is the overall reliability of the component and its two backups?

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A product has three components, A, B, and C. A failure of any of these three components would cause the product to fail. They have reliabilities of 0.85, 0.70, and 0.77 respectively. A failure of C might cause safety issues so it has a redundant backup D with a reliability of 0.88. What is the overall reliability of the product?

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A copier has a mean time between failure of 2,170 hours and a mean time to repair of 22 hours. What is its availability?

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