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A posterior probability associated with sample information is of the form​


A) ​P(a sample outcome | a state of nature) .
B) ​P(a state of nature | a sample outcome) .
C) ​P(a decision alternative | a sample outcome) .
D) ​P(a sample outcome | a decision alternative) .

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Nodes indicating points where a decision is made are known as _____ nodes.


A) decision
B) chance
C) unconditional
D) conditional

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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 expected value of perfect information is A)  18.1. B)  11.7. C)  51. D)  37. ​ The probability of occurrence of s1 is .1 and the probability of occurrence of s2 is .3. The expected value of perfect information is


A) 18.1.
B) 11.7.
C) 51.
D) 37.

Correct Answer

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Application of Bayes' theorem enables us to compute​ the


A) prior probability of each state of nature.
B) posterior probability of each sample outcome.
C) conditional probability of the sample outcomes given each state of nature.
D) conditional probability of the states of nature given each sample outcome.

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The expected value of information that would tell the decision maker exactly which state of nature is going to occur is the _____ information.


A) expected value of sample
B) expected value of perfect
C) revised state-of-nature
D) updated research

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Prior probabilities are the probabilities of the states of nature _____ information.


A) after obtaining sample
B) prior to obtaining perfect
C) prior to obtaining sample
D) after obtaining perfect

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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 expected value of perfect information equals A)  12. B)  9. C)  37. D)  29. ​ The probability that s1 will occur is .2; the probability that s2 will occur is .6. The expected value of perfect information equals


A) 12.
B) 9.
C) 37.
D) 29.

Correct Answer

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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 expected value of the best alternative is A)  4.5. B)  69.5. C)  7.5. D)  9.0. ​ The probability of occurrence of s1 is .1 and the probability of occurrence of s2 is .3. The expected value of the best alternative is


A) 4.5.
B) 69.5.
C) 7.5.
D) 9.0.

Correct Answer

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