In a study of incentives used by companies to retain mature workers, The Conference Board reported that 41% use flexible work arrangements. Suppose that, of those companies that do not use flexible work arrangements, 10% give time off for volunteerism. In addition, suppose that, of those companies that use flexible work arrangements, 60% give time off for volunteerism. If a company is randomly selected, determine the following probabilities: 1. The company uses flexible work arrangements or gives time off for volunteerism. 2. The company uses flexible work arrangements and does not give time off for volunteerism. 3. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements. 4. The company does not use flexible work arrangements given that the company does give time off for volunteerism. 5. The company does not use flexible work arrangements or the company does not give time off for volunteerism.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a study of incentives used by companies to retain mature workers, The Conference Board reported that 41% use flexible work arrangements. Suppose that, of those companies that do not use flexible work arrangements, 10% give time off for volunteerism. In addition, suppose that, of those companies that use flexible work arrangements, 60% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:

1. The company uses flexible work arrangements or gives time off for volunteerism.

2. The company uses flexible work arrangements and does not give time off for volunteerism.

3. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.

4. The company does not use flexible work arrangements given that the company does give time off for volunteerism.

5. The company does not use flexible work arrangements or the company does not give time off for volunteerism.

6. Construct the probability matrix for this problem.

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