A container includes six components from supplier A, seven from supplier B, and eight from supplier C. What is the likelihood that each supplier will have at least one component examined if four of the components are chosen at random for testing?

A container includes six components from supplier A, seven from supplier B, and eight from supplier C. What is the likelihood that each supplier will have at least one component examined if four of the components are chosen at random for testing?

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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A stock index consists of businesses in both Europe and the United States. Assume that each business comprising the stock index makes a profit or loss independently of the other businesses in the index. Suppose that an American business on the stock index makes a profit 60%60% of the time and a European business makes a profit 80%80% of the time. If there are 840 American businesses and 720 European businesses in the stock index, what is the expected number of businesses in the stock index to make a profit?
Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
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A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample, respectively. Determine the expected number of pages among the four chosen that have moderate graphics.
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