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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
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Suppose that the manufacturing company of Exercise 5.36

Chapter 7, Problem 5.37

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QUESTION:

Suppose that the manufacturing company of Exercise 5.36 decides to change its acceptance scheme. Under the new scheme, an inspector takes 1 item at random, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. The box is not shipped if any of the three inspectors nd a defective. Answer the questions in Exercise 5.36 for this new plan.

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QUESTION:

Suppose that the manufacturing company of Exercise 5.36 decides to change its acceptance scheme. Under the new scheme, an inspector takes 1 item at random, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. The box is not shipped if any of the three inspectors nd a defective. Answer the questions in Exercise 5.36 for this new plan.

ANSWER:

Q: Suppose that the manufacturing company of Exercise 5.36 decides to change its acceptancescheme. Under the new scheme, an inspector takes 1 item at random, inspects it, and thenreplaces it in the box; a second inspector does likewise. Finally, a third inspector goes throughthe same procedure. The box is not shipped if any of the three inspectors find adefective.Answer the questions in Exercise 5.36 for this new plan.(a) What is the probability that a box containing 3 defectives will be shipped(b) What is the probability that a box containing only 1 defective will be sent back forscreening Step By Step SolutionMethod 1:Using Binomial distribution:Step 1 of 2: (a) Box contains 3 defectives Since a box will be shipped only if no defectives are found, therefore: Therefore the probability that box containing 3 defectives will be shipped is 0.6814.

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