Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 20.3, Problem 8E

Consider a variation of the PDC decision tree shown in Figure 20.5. The company must first decide whether to undertake the market research study. If the market research study is conducted, the outcome will either be favourable (F) or unfavourable (U). Assume there are only two decision alternatives d1 and d2 and two states of nature s1 and s2. The payoff table showing profit is as follows:

Chapter 20.3, Problem 8E, Consider a variation of the PDC decision tree shown in Figure 20.5. The company must first decide , example  1

a. Show the decision tree.

b. Use the following probabilities. What is the optimal decision strategy?

P ( F ) = .56 P ( s 1 | F ) = .57 P ( s 1 | U ) = .18 P ( s 1 ) = .40 P ( U ) = .44 P ( s 2 | F ) = .43 P ( s 2 | U ) = .82 P ( s 2 ) = .60

FIGURE 20.5 THE PDC DECISION TREE WITH BRANCH PROBABILITIES

Chapter 20.3, Problem 8E, Consider a variation of the PDC decision tree shown in Figure 20.5. The company must first decide , example  2

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