A company uses three different assembly lines—A1, A2,and A3—to manufacture a particular component. Of thosemanufactured by line A1, 5% need rework to remedy adefect, whereas 8% of A2’s components need rework and10% of A3’s need rework. Suppose that 50% of all componentsare produced by line A1, 30% are produced byline A2, and 20% come from line A3. If a randomlyselected component needs rework, what is the probabilitythat it came from line A1? From line A2? From line A3?

A company uses three different assembly lines—A1, A2,and A3—to manufacture a particular component. Of thosemanufactured by line A1, 5% need rework to remedy adefect, whereas 8% of A2’s components need rework and10% of A3’s need rework. Suppose that 50% of all componentsare produced by line A1, 30% are produced byline A2, and 20% come from line A3. If a randomlyselected component needs rework, what is the probabilitythat it came from line A1? From line A2? From line A3?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose a company charges an annual premium of $110 for an insurance policy for minor injuries. Actuarial studies show that in case of an injury claim, the company will pay out an average of $900 for outpatient care and an average of $3000 for an overnight stay in the hospital. They also determine that, on average, each year there are five claims made that result in outpatient care for every 1000 policies and three claims made that result in an overnight stay out of every 1000 policies. What is the expected annual profit of an insurance policy for the company?
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This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $1,000 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $1,000 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) To 1 2 3 4 From 1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473
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A type of small snail is very widespread in Japan, and colonies of the snails that are genetically similar have been found very far apart. Scientists wondered how the snails could travel such long distances. A recent study provides. the answer. Biologist Shinichiro Wada fed 174 live snails to birds and found that 26 of the snails were excreted live out the other end. The snails appar- ently are able to seal their shells shut to keep the digestive fluids from getting in. Estimate the standard error (use the standard deviation in the picture for the standard error) question 2: Use the standard error from part (b) to find a 95% confidence interval for the proportion of all snails of this type to live after being eaten by a bird. Write both ends of your interval as percents,
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