Question: Shown here is a decision table from a business situation. The decision maker has an opportunity to purchase sample information in the form of a
Shown here is a decision table from a business situation. The decision maker has an opportunity to purchase sample information in the form of a forecast. With the sample information, the prior probabilities can be revised. Also shown are the probabilities of forecasts from the sample information for each state of nature. Use this information to answer parts (a) through (d).
| state of.. | ..nature | ||
| Alternative | s1 (.30) | s2 (.70) | |
| alternative | d1 | $350 | -100 |
| alternative | d2 | -200 | 325 |
| State of.. | ..Nature | ||
| Forecast | s1 | s2 | |
| forecast | s1 | .90 | .25 |
| forecast | s2 | .10 | .75 |
a. Compute the expected monetary value of this decision without sample information.
b. Compute the expected monetary value of this decision with sample information.
c. Use a tree diagram to show the decision options in parts (a) and (b).
d. Calculate the value of the sample information.
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