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A posterior probability is the likelihood that an event has occurred after the decision maker has reached a decision.

A) True
B) False

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Additional information is used to alter the marginal probability of occurrence of an event in Bayesian analysis.

A) True
B) False

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Napoleon is contemplating four institutions of higher learning as options for a Masters in Business Administration. Each university has strong and weak points and the demand for MBA graduates is uncertain. The availability of jobs, student loans, and financial support will have a significant impact on Napoleon's ultimate decision. Vanderbilt and Seattle University have comparatively high tuition, which would necessitate Napoleon take out student loans resulting in possibly substantial student loan debt. In a tight market, degrees with that cachet might spell the difference between a hefty paycheck and a piddling unemployment check. Northeastern State University and Texas Tech University hold the advantage of comparatively low tuition but a more regional appeal in a tight job market. Napoleon gathers his advisory council of Kip and Pedro to assist with the decision. Together they forecast three possible scenarios for the job market and institutional success and predict annual cash flows associated with an MBA from each institution. All cash flows in the table are in thousands of dollars.  School  Scenario 1  Scenario 2  Scenario 3  Vanderbilt 952010 Texas Tech 556060 Seattle 901080 Northeastern State 655060\begin{array} { | l | c | c | c | } \hline \text { School } & \text { Scenario 1 } & \text { Scenario 2 } & \text { Scenario 3 } \\\hline \text { Vanderbilt } & 95 & 20 & - 10 \\\hline \text { Texas Tech } & 55 & 60 & 60 \\\hline \text { Seattle } & 90 & 10 & 80 \\\hline \text { Northeastern State } & 65 & 50 & 60 \\\hline\end{array} -Napoleon's Uncle Rico believes that the scenarios are not necessarily equally likely, and suggests that the likelihood of occurrence of Scenario 2 is 0.4 and the likelihood of occurrence of Scenarios 1 and 3 are both 0.3. What two criteria are most appropriate and what is the resulting decision?

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The two criteria are expected ...

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The term opportunity loss is most closely related to


A) maximin regret.
B) maximax regret.
C) minimax regret.
D) minimin regret.

E) A) and C)
F) C) and D)

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The quality control manager for ENTA Inc. must decide whether to accept (A1), further analyze (A2), or reject (A3) a lot of incoming material. Assume the following payoff table is available. Historical data indicates that there is 30% chance that the lot is poor quality (S1), 50 % chance that the lot is fair quality (S2), and 20% chance that the lot is good quality (S3). S1S2S3A1203090A2607010A3805040\begin{array} { l r r r } & \mathbf { S } _ { \mathbf { 1 } } & \mathbf { S } _ { \mathbf { 2 } } & \mathbf { S } _ { \mathbf { 3 } } \\\mathbf { A } _ { \mathbf { 1 } } & 20 & 30 & 90 \\\mathbf { A } _ { \mathbf { 2 } } & 60 & 70 & 10 \\\mathbf { A } _ { \mathbf { 3 } } & 80 & 50 & 40\end{array} -What action would you choose according to maximax criterion?

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(90 > 80 >...

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A group of friends are planning a recreational outing and have constructed the following payoff table to help them decide which activity to engage in. Assume that the payoffs represent their level of enjoyment for each activity under the various weather conditions.  Weather ColdWarmRainySS2 S3 Bike:  Al 1086 Hike:  A2 14152 Fish:  A3 789\begin{array}{lcccc}&&&\text { Weather }\\&&Cold &Warm& Rainy\\&&\mathrm{S} & \mathrm{S}_{2} & \mathrm{~S}_{3}\\\text { Bike: } & \text { Al } & 10 & 8 & 6 \\\text { Hike: } & \text { A2 } & 14 & 15 & 2 \\\text { Fish: } & \text { A3 } & 7 & 8 & 9\end{array} -If the group is optimistic, what decision should they make?

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A2

The basic decision environment categories are


A) certainty and risk.
B) risk and uncertainty.
C) certainty and uncertainty.
D) certainty, uncertainty and risk.

E) All of the above
F) A) and B)

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A(n) ________ decision is one that has a better payoff than another decision under each state of nature.

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The quality control manager for ENTA Inc. must decide whether to accept (A1), further analyze (A2), or reject (A3) a lot of incoming material. Assume the following payoff table is available. Historical data indicates that there is 30% chance that the lot is poor quality (S1), 50 % chance that the lot is fair quality (S2), and 20% chance that the lot is good quality (S3). S1S2S3A1203090A2607010A3805040\begin{array} { l r r r } & \mathbf { S } _ { \mathbf { 1 } } & \mathbf { S } _ { \mathbf { 2 } } & \mathbf { S } _ { \mathbf { 3 } } \\\mathbf { A } _ { \mathbf { 1 } } & 20 & 30 & 90 \\\mathbf { A } _ { \mathbf { 2 } } & 60 & 70 & 10 \\\mathbf { A } _ { \mathbf { 3 } } & 80 & 50 & 40\end{array} -What is the maximum amount that you would be willing to pay for perfect information?

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Expected payoff with perfect information = (.3)(80) + (.5)(70) + (.2)(90) = 77 EVPI = 77 - max (EV) = 77 -57 = 20

Napoleon is contemplating four institutions of higher learning as options for a Masters in Business Administration. Each university has strong and weak points and the demand for MBA graduates is uncertain. The availability of jobs, student loans, and financial support will have a significant impact on Napoleon's ultimate decision. Vanderbilt and Seattle University have comparatively high tuition, which would necessitate Napoleon take out student loans resulting in possibly substantial student loan debt. In a tight market, degrees with that cachet might spell the difference between a hefty paycheck and a piddling unemployment check. Northeastern State University and Texas Tech University hold the advantage of comparatively low tuition but a more regional appeal in a tight job market. Napoleon gathers his advisory council of Kip and Pedro to assist with the decision. Together they forecast three possible scenarios for the job market and institutional success and predict annual cash flows associated with an MBA from each institution. All cash flows in the table are in thousands of dollars.  School  Scenario 1  Scenario 2  Scenario 3  Vanderbilt 952010 Texas Tech 556060 Seattle 901080 Northeastern State 655060\begin{array} { | l | c | c | c | } \hline \text { School } & \text { Scenario 1 } & \text { Scenario 2 } & \text { Scenario 3 } \\\hline \text { Vanderbilt } & 95 & 20 & - 10 \\\hline \text { Texas Tech } & 55 & 60 & 60 \\\hline \text { Seattle } & 90 & 10 & 80 \\\hline \text { Northeastern State } & 65 & 50 & 60 \\\hline\end{array} -Napoleon doesn't know what to think, since he has no idea which scenario will happen. Which criterion is he well-suited for and what is his decision?

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Napoleon is an equally-likely ...

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A tabular presentation that shows the outcome for each decision alternative under the various possible states of nature is called a


A) decision tree.
B) payoff table.
C) feasible region.
D) payback matrix.

E) B) and C)
F) A) and D)

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Napoleon is contemplating four institutions of higher learning as options for a Masters in Business Administration. Each university has strong and weak points and the demand for MBA graduates is uncertain. The availability of jobs, student loans, and financial support will have a significant impact on Napoleon's ultimate decision. Vanderbilt and Seattle University have comparatively high tuition, which would necessitate Napoleon take out student loans resulting in possibly substantial student loan debt. In a tight market, degrees with that cachet might spell the difference between a hefty paycheck and a piddling unemployment check. Northeastern State University and Texas Tech University hold the advantage of comparatively low tuition but a more regional appeal in a tight job market. Napoleon gathers his advisory council of Kip and Pedro to assist with the decision. Together they forecast three possible scenarios for the job market and institutional success and predict annual cash flows associated with an MBA from each institution. All cash flows in the table are in thousands of dollars.  School  Scenario 1  Scenario 2  Scenario 3  Vanderbilt 952010 Texas Tech 556060 Seattle 901080 Northeastern State 655060\begin{array} { | l | c | c | c | } \hline \text { School } & \text { Scenario 1 } & \text { Scenario 2 } & \text { Scenario 3 } \\\hline \text { Vanderbilt } & 95 & 20 & - 10 \\\hline \text { Texas Tech } & 55 & 60 & 60 \\\hline \text { Seattle } & 90 & 10 & 80 \\\hline \text { Northeastern State } & 65 & 50 & 60 \\\hline\end{array} -Under which criterion is Seattle University the optimal decision?


A) maximax
B) maximin
C) minimax regret
D) equally likely

E) A) and B)
F) A) and C)

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The quality control manager for ENTA Inc. must decide whether to accept (A1), further analyze (A2), or reject (A3) a lot of incoming material. Assume the following payoff table is available. Historical data indicates that there is 30% chance that the lot is poor quality (S1), 50 % chance that the lot is fair quality (S2), and 20% chance that the lot is good quality (S3). S1S2S3A1203090A2607010A3805040\begin{array} { l r r r } & \mathbf { S } _ { \mathbf { 1 } } & \mathbf { S } _ { \mathbf { 2 } } & \mathbf { S } _ { \mathbf { 3 } } \\\mathbf { A } _ { \mathbf { 1 } } & 20 & 30 & 90 \\\mathbf { A } _ { \mathbf { 2 } } & 60 & 70 & 10 \\\mathbf { A } _ { \mathbf { 3 } } & 80 & 50 & 40\end{array} -What action would you choose according to maximin criterion?

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(10 < 20 < 40), reject the lot, A3.

When the ________ criterion is used, the decision maker selects the decision alternative that minimizes the maximum regret.

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The efficiency of sample information is the ratio of the expected value of sample information to the


A) expected value of perfect information.
B) expected value.
C) utilization rate.
D) coefficient of optimism.

E) All of the above
F) A) and B)

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Napoleon is contemplating four institutions of higher learning as options for a Masters in Business Administration. Each university has strong and weak points and the demand for MBA graduates is uncertain. The availability of jobs, student loans, and financial support will have a significant impact on Napoleon's ultimate decision. Vanderbilt and Seattle University have comparatively high tuition, which would necessitate Napoleon take out student loans resulting in possibly substantial student loan debt. In a tight market, degrees with that cachet might spell the difference between a hefty paycheck and a piddling unemployment check. Northeastern State University and Texas Tech University hold the advantage of comparatively low tuition but a more regional appeal in a tight job market. Napoleon gathers his advisory council of Kip and Pedro to assist with the decision. Together they forecast three possible scenarios for the job market and institutional success and predict annual cash flows associated with an MBA from each institution. All cash flows in the table are in thousands of dollars.  School  Scenario 1  Scenario 2  Scenario 3  Vanderbilt 952010 Texas Tech 556060 Seattle 901080 Northeastern State 655060\begin{array} { | l | c | c | c | } \hline \text { School } & \text { Scenario 1 } & \text { Scenario 2 } & \text { Scenario 3 } \\\hline \text { Vanderbilt } & 95 & 20 & - 10 \\\hline \text { Texas Tech } & 55 & 60 & 60 \\\hline \text { Seattle } & 90 & 10 & 80 \\\hline \text { Northeastern State } & 65 & 50 & 60 \\\hline\end{array} -Summer bursts into the meeting and announces that there's another way to consider the issue. Since Napoleon will have to live with his choice for the rest of his life, he might consider selecting the alternative that will cause him the least pain in hindsight when he compares his outcome with what he might have gained. Which criterion is she talking about, what is the best school for this criterion, and why?

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This is the minimax regret cri...

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A small entrepreneurial company is trying to decide between developing two different products that they believe they can sell to two potential companies, one large and one small. If they develop Product A, they have a 50% chance of selling it to the large company with annual purchases of about 20,000 units. If the large company won't purchase it, then they think they have an 80% chance of placing it with a smaller company, with sales of 15,000 units. On the other hand if they develop Product B, they feel they have a 40% chance of selling it to the large company, resulting in annual sales of about 17,000 units. If the large company doesn't buy it, they have a 50% chance of selling it to the small company with sales of 20,000 units. -How many units of Product A can they expect to sell?


A) 20,000
B) 17,000
C) 16,000
D) 15,000

E) A) and C)
F) B) and C)

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People who forgo a high expected value to avoid a disaster with a low probability are ________.

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risk avert...

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A ________ structures decisions with a series of nodes.

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The efficiency of sample information multiplied by the expected value of perfect information is ________.

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the expect...

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