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Below you are given a revenue payoff table involving three decision alternatives and two states of nature. Below you are given a revenue payoff table involving three decision alternatives and two states of nature.   ​ The probability of the occurrence of state of nature s<sub>1</sub> is .4. The recommended decision based on the expected value criterion is A)  A. B)  B. C)  C. D)  Both B and C are recommended. ​ The probability of the occurrence of state of nature s1 is .4. The recommended decision based on the expected value criterion is


A) A.
B) B.
C) C.
D) Both B and C are recommended.

Correct Answer

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Below you are given a profit payoff table involving two decision alternatives and three states of nature. Below you are given a profit payoff table involving two decision alternatives and three states of nature.   ​ The probability that s<sub>1</sub> will occur is .2; the probability that s<sub>2</sub> will occur is .6. The recommended decision based on the expected value criterion is A)  A. B)  B. C)  Both A and B are optimal. D)  A third alternative is required for an optimal solution. ​ The probability that s1 will occur is .2; the probability that s2 will occur is .6. The recommended decision based on the expected value criterion is


A) A.
B) B.
C) Both A and B are optimal.
D) A third alternative is required for an optimal solution.

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The process of revising prior probabilities to create posterior probabilities based on sample information requires using


A) decision strategies.
B) a subjective approach.
C) Bayes' theorem.
D) the posterior revision.

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The probability of a state of nature that results after using Bayes' theorem to adjust the prior probability based on sample information is called _____ probability.


A) joint
B) conditional
C) posterior
D) decision

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A tabular presentation of the expected gain from the various options open to a decision maker is called


A) a payoff table.
B) a decision tree.
C) the expected values table.
D) the branch probabilities table.

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Below you are given an income payoff table involving three decision alternatives and two states of nature. Below you are given an income payoff table involving three decision alternatives and two states of nature.   ​ The probability of the occurrence of s<sub>1</sub> = .3. The recommended decision alternative based on the expected value is A)  A. B)  B. C)  C. D)  Both A and B are optimal. ​ The probability of the occurrence of s1 = .3. The recommended decision alternative based on the expected value is


A) A.
B) B.
C) C.
D) Both A and B are optimal.

Correct Answer

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Below you are given an income payoff table involving three decision alternatives and two states of nature. Below you are given an income payoff table involving three decision alternatives and two states of nature.   ​ The probability of the occurrence of s<sub>1</sub> = .3. The expected value of the best alternative is A)  12.9. B)  13.2. C)  10.2. D)  28.0. ​ The probability of the occurrence of s1 = .3. The expected value of the best alternative is


A) 12.9.
B) 13.2.
C) 10.2.
D) 28.0.

Correct Answer

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Below you are given a revenue payoff table involving three decision alternatives and two states of nature. Below you are given a revenue payoff table involving three decision alternatives and two states of nature.   ​ The probability of the occurrence of state of nature s<sub>1</sub> is .4. The expected value of the best alternative equals A)  13,000. B)  14,000. C)  15,000. D)  16,000. ​ The probability of the occurrence of state of nature s1 is .4. The expected value of the best alternative equals


A) 13,000.
B) 14,000.
C) 15,000.
D) 16,000.

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In computing an expected value (EV) , the weights are


A) decision alternative probabilities.
B) the payoffs.
C) expected outcomes.
D) the state-of-nature probabilities.

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For a decision alternative, the weighted average of the payoffs is known as


A) the expected value of perfect information.
B) the expected value.
C) weighted probability.
D) perfect information.

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A graphic presentation of the expected gain from the various options open to the decision maker is called


A) a payoff table.
B) a decision tree.
C) the expected values table.
D) the branch-to-node tree.

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The outcomes of uncontrollable future events that can affect the outcome of a decision are known as


A) alternatives.
B) decision events.
C) payoffs.
D) states of nature.

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Below you are given a profit payoff table involving three decision alternatives and three states of nature. Below you are given a profit payoff table involving three decision alternatives and three states of nature.   ​ The probability of occurrence of s<sub>1</sub> is .1 and the probability of occurrence of s<sub>2</sub> is .3. The recommended decision alternative based on the expected value is A)  A. B)  B. C)  C. D)  Both A and B are optimal. ​ The probability of occurrence of s1 is .1 and the probability of occurrence of s2 is .3. The recommended decision alternative based on the expected value is


A) A.
B) B.
C) C.
D) Both A and B are optimal.

Correct Answer

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Below you are given an income payoff table involving three decision alternatives and two states of nature. Below you are given an income payoff table involving three decision alternatives and two states of nature.   ​ The probability of the occurrence of s<sub>1</sub> = .3. The expected value of perfect information is A)  1.5. B)  1.2. C)  4.2. D)  4.8. ​ The probability of the occurrence of s1 = .3. The expected value of perfect information is


A) 1.5.
B) 1.2.
C) 4.2.
D) 4.8.

Correct Answer

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The difference between the expected value of an optimal strategy based on sample information and the "best" expected value without any sample information is called the _____ information.


A) optimal
B) expected value of sample
C) expected value of perfect
D) new

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Below you are given a profit payoff table involving three decision alternatives and two states of nature. Below you are given a profit payoff table involving three decision alternatives and two states of nature.   ​ The probability of occurrence of s<sub>1</sub> = .2. The expected value of perfect information is A)  6.2. B)  2.0. C)  13.6. D)  4.8. ​ The probability of occurrence of s1 = .2. The expected value of perfect information is


A) 6.2.
B) 2.0.
C) 13.6.
D) 4.8.

Correct Answer

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Below you are given a profit payoff table involving three decision alternatives and two states of nature. Below you are given a profit payoff table involving three decision alternatives and two states of nature.   ​ The probability of occurrence of s<sub>1</sub> = .2. The recommended decision alternative based on the expected value is A)  A. B)  B. C)  C. D)  Both A and C are recommended. ​ The probability of occurrence of s1 = .2. The recommended decision alternative based on the expected value is


A) A.
B) B.
C) C.
D) Both A and C are recommended.

Correct Answer

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Below you are given a profit payoff table involving three decision alternatives and two states of nature. Below you are given a profit payoff table involving three decision alternatives and two states of nature.   ​ The probability of occurrence of s<sub>1</sub> = .2. The expected value of the best alternative is A)  8.8. B)  7.4. C)  9.6. D)  11.6. ​ The probability of occurrence of s1 = .2. The expected value of the best alternative is


A) 8.8.
B) 7.4.
C) 9.6.
D) 11.6.

Correct Answer

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An intersection or junction point of a decision tree is called a(n)


A) junction.
B) intersection.
C) branch.
D) node.

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New information obtained through research or experimentation that enables an updating or revision of the state-of-nature probabilities is _____ information.


A) population
B) prior
C) sample
D) conditional

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