2. A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective. a. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places. b. How many additional components should be sampled so that the 95% confidence interval will specify the proportion of defective components to within 0.02? (Hint: use your answer from part (a).) C. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answer to three decimal places. (Hint: Express q as a function of p and use your answer to part (a).)

2. A random sample of 400 electronic components manufactured by a certain process are tested, and 30 are found to be defective. a. Let p represent the proportion of components manufactured by this process that are defective. Find a 95% confidence interval for p. Round the answers to four decimal places. b. How many additional components should be sampled so that the 95% confidence interval will specify the proportion of defective components to within 0.02? (Hint: use your answer from part (a).) C. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answer to three decimal places. (Hint: Express q as a function of p and use your answer to part (a).)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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