Statistics for Business & Economics
Statistics for Business & Economics
12th Edition
ISBN: 9781285528830
Author: David R. Anderson
Publisher: Cengage Learning US
Question
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Chapter 21.2, Problem 1E

a.

To determine

Construct a decision tree for the problem.

b.

To determine

Compute the optimal decision using the expected value approach.

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The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative S1 S2 S3 di 250 100 100 d2 200 100 150 The probabilities for the states of nature are P(s1) = 0.45, P(s2) = 0.25, and P(53) = 0.3. (a) What is the optimal decision strategy if perfect information were available? S1 : - Select your answer - V S2 Select your answer - S3 : - Select your answer - V (b) What is the expected value for the decision strategy developed in part (a)? If required, round your answer to one decimal place. (c) Using the expected value approach, what is the recommended decision without perfect information? - Select your answer - v What is its expected value? If required, round your answer to one decimal place. (d) What is the expected value of perfect information? If required, round your answer to one decimal place.
The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.
A large decision tree has an outcome branch detailed (next page). If decisions D1, D2, and D3 are all options in a 1-year period, find the decision path that maximizes the outcome value. There are specific investments necessary for decision nodes D1, D2, and D3, as indicated on each branch.
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