Bundle: Modern Business Statistics with Microsoft Office Excel, Loose-Leaf Version, 6th + MindTap Business Statistics, 2 terms (12 months) Printed Access Card
Bundle: Modern Business Statistics with Microsoft Office Excel, Loose-Leaf Version, 6th + MindTap Business Statistics, 2 terms (12 months) Printed Access Card
6th Edition
ISBN: 9781337589383
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 20.4, Problem 15E

In the following profit payoff table for a decision problem with two states of nature and three decision alternatives, the prior probabilities for s1 and s2 are P(s1) = .8 and P(s2) = .2.

  State of Nature
Decision Alternative s1 s2
d1 15 10
d2 10 12
d3 8 20
  1. a. What is the optimal decision?
  2. b. Find the EVPI.
  3. c. Suppose that sample information I is obtained, with P(I | s1) = .20 and P(I | s2) = .75. Find the posterior probabilities P(s1 | I) and P(s2 | I). Recommend a decision alternative based on these probabilities.
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