Question 1

A corn farmer has categorized the weather into three possible levels.The weather conditions will affect the timing of the harvest and the associated payoff.In this situation,the weather conditions are called the ____________________________.

Accepted Answer

The answer of A corn farmer has categorized the weather...

Question 2

In a decision tree,the branches emanating from a circular node represent the possible ___________________.

Accepted Answer

The answer of In a decision tree,the branches emanating from...

Question 3

The _____________ criterion finds the best possible payoff for each alternative and then chooses the alternative that yields the maximum payoff.

Accepted Answer

The answer of The _____________ criterion finds the best possible...

Question 4

The _____________ criterion finds the worst possible payoff for each alternative and then chooses the alternative that yields the maximum payoff.

Accepted Answer

The answer of The _____________ criterion finds the worst possible...

Question 5

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \ \text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \ \text { Accept } & 20 & 30 & 90 \ \text { Further analyze } & 60 & 70 & 15 \ \text { Reject } & 80 & 50 & 30 \end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is not defective.Based on this additional information,what is the revised (posterior)probability for the reject state?

Accepted Answer

The answer of The quality control manager for the NKA...

Question 6

In utility analysis,a utility curve that shows a rapid increase in utility for initial amounts of money followed by a gradual levelling off for larger amount of money is appropriate for a risk _____ decision maker.

Accepted Answer

A utility curve that shows a rapid increase in utility for initial amounts of money followed by a gradual levelling off for larger amount of money is indicative of risk-seeking behavior. This means that the person is willing to take greater risks for the chance of earning higher rewards.

Question 7

When making a decision in an environment of ________________,the decision maker knows which of the states of nature will actually occur.

Accepted Answer

The answer of When making a decision in an environment...

Question 8

The _______________________ is the difference between the expected payoff that would have been realized had the best alternative action been selected if we know which state of nature has occurred and the expected payoff under risk.

Accepted Answer

The answer of The _______________________ is the difference between the...

Question 9

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \ \text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \ \text { Accept } & 20 & 30 & 90 \ \text { Further analyze } & 60 & 70 & 15 \ \text { Reject } & 80 & 50 & 30 \end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is not defective.Based on this additional information,what is the revised (posterior)probability for the further analyze state?

Accepted Answer

The revised probability is calculated using Bayes' theorem. The probability of a non-defective unit given each state is used to update the prior probabilities. The calculation shows that the posterior probability for the "further analyze" state (S2) is 52%.

Question 10

A __________ is a diagram that assists the decision maker in analyzing a decision problem.

Accepted Answer

The answer of A __________ is a diagram that assists...

Question 11

A company wants to add a new product to its existing line of products.There are two similar candidate products A and B The demand for the new product could be high,medium,or low with probabilities of .25,.5,and .25 respectively.The demand and the corresponding profit for each product is: $$\begin{array} { | l | l | l | l | } 
\hline & \text { High } & \text { Medium } & \text { Low } \
\hline \text { Product A } & 40,000 & 30,000 & 20,000 \
\hline \text { Product B } & 70,000 & 20,000 & 0 \
\hline
\end{array}$$ Based on the expected value criterion,which product should be chosen?

Accepted Answer

The expected profit for Product A is calculated as (0.25 * 40,000) + (0.5 * 30,000) + (0.25 * 20,000) = 30,000. For Product B, it is (0.25 * 70,000) + (0.5 * 20,000) + (0.25 * 0) = 27,500. Therefore, Product A has a higher expected profit and should be chosen.

Question 12

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \ \text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \ \text { Accept } & 20 & 30 & 90 \ \text { Further analyze } & 60 & 70 & 15 \ \text { Reject } & 80 & 50 & 30 \end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is defective.Based on this additional information,what is the revised (posterior)probability for the reject state?

Accepted Answer

The answer of The quality control manager for the NKA...

Question 13

The ____________________ criterion for choosing among alternative actions assumes that the state of nature with the best payoff will be experienced.

Accepted Answer

The answer of The ____________________ criterion for choosing among alternative...

Question 14

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \ \text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \ \text { Accept } & 20 & 30 & 90 \ \text { Further analyze } & 60 & 70 & 15 \ \text { Reject } & 80 & 50 & 30 \end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is defective.Based on this additional information,what is the revised (posterior)probability for the accept state?

Accepted Answer

The answer of The quality control manager for the NKA...

Question 15

The expected value criterion is used for decision-making under _______________.

Accepted Answer

The answer of The expected value criterion is used for...

Question 16

The ____________________ criterion for choosing among alternative actions assumes that the state of nature with the worst payoff will be experienced.

Accepted Answer

The answer of The ____________________ criterion for choosing among alternative...

Question 17

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \ \text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \ \text { Accept } & 20 & 30 & 90 \ \text { Further analyze } & 60 & 70 & 15 \ \text { Reject } & 80 & 50 & 30 \end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is defective.Based on this additional information,what is the revised (posterior)probability for the further analyze state?

Accepted Answer

The answer of The quality control manager for the NKA...

Question 18

A tire manufacturer needs to make a decision about the amount of production for the coming month (high vs.low).The level of production largely depends on the level of demand.For this situation,the amount of production constitutes the ___________________ actions.

Accepted Answer

The answer of A tire manufacturer needs to make a...

Question 19

The quality control manager for the NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)the shipment (lot)of incoming material.The 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).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. $$\begin{array} { l c c c } & { \text { States of Nature } } \ \text { Decision } & \mathrm { S } _ { 1 } & \mathrm {~S} _ { 2 } & \mathrm {~S} _ { 3 } \ \text { Accept } & 20 & 30 & 90 \ \text { Further analyze } & 60 & 70 & 15 \ \text { Reject } & 80 & 50 & 30 \end{array}$$ Based on historical data,if the lot is of poor quality,40% of the items are defective.If the lot is fair quality,22% of the items are defective.If the lot is good quality,10 % of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting one unit,the manager determines that the unit is not defective.Based on this additional information,what is the revised (posterior)probability for the accept state?

Accepted Answer

The answer of The quality control manager for the NKA...

Question 20

The expected _____________________ is the difference between the expected value of sampling and the cost of sampling.

Accepted Answer

The answer of The expected _____________________ is the difference between...

Quiz 15: Decision Theory

A corn farmer has categorized the weather into three possible levels.The weather conditions will affect the timing of the harvest and the associated payoff.In this situation,the weather conditions are called the ____________________________.

In a decision tree,the branches emanating from a circular node represent the possible ___________________.

The _____________ criterion finds the best possible payoff for each alternative and then chooses the alternative that yields the maximum payoff.

The _____________ criterion finds the worst possible payoff for each alternative and then chooses the alternative that yields the maximum payoff.

In utility analysis,a utility curve that shows a rapid increase in utility for initial amounts of money followed by a gradual levelling off for larger amount of money is appropriate for a risk _____ decision maker.

When making a decision in an environment of ________________,the decision maker knows which of the states of nature will actually occur.

The _______________________ is the difference between the expected payoff that would have been realized had the best alternative action been selected if we know which state of nature has occurred and the expected payoff under risk.

A __________ is a diagram that assists the decision maker in analyzing a decision problem.

The ____________________ criterion for choosing among alternative actions assumes that the state of nature with the best payoff will be experienced.

The expected value criterion is used for decision-making under _______________.

The ____________________ criterion for choosing among alternative actions assumes that the state of nature with the worst payoff will be experienced.

A tire manufacturer needs to make a decision about the amount of production for the coming month (high vs.low).The level of production largely depends on the level of demand.For this situation,the amount of production constitutes the ___________________ actions.

The expected _____________________ is the difference between the expected value of sampling and the cost of sampling.