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A posterior probability associated with sample information is of the form


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

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

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


A) alternatives
B) decision outcome
C) payoff
D) states of nature

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

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The approach to determine the optimal decision strategy involves


A) a forward (left to right) pass through the decision tree
B) a backward (right to left) pass through the decision tree
C) choosing the outcome of a chance event with the greatest probability
D) choosing the outcome of a chance event with the greatest payoff

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

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Future events which cannot be controlled by the decision maker are called


A) indicators
B) states of nature
C) prior probabilities
D) posterior probabilities

E) None of the above
F) A) and B)

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Consider the following profit payoff table. Consider the following profit payoff table.   What should the probabilities of S<sub>1</sub> and S<sub>2</sub> be so that the expected values of the two decision alternatives equal one another? What should the probabilities of S1 and S2 be so that the expected values of the two decision alternatives equal one another?

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P(S1) = 0.2...

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


A) decision alternative probabilities
B) in pounds or some unit of weight
C) in dollars or some units of currency
D) the state-of-nature probabilities

E) None of the above
F) A) and C)

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Exhibit 20-4 Below you are given a payoff table involving two states of nature and three decision alternatives. Exhibit 20-4 Below you are given a payoff table involving two states of nature and three decision alternatives.   The probability of occurrence of S<sub>1 </sub>= 0.3. -Refer to Exhibit 20-4. The expected value of perfect information is A) 1.5 B) 1.2 C) 1.0 D) 4.8 The probability of occurrence of S1 = 0.3. -Refer to Exhibit 20-4. The expected value of perfect information is


A) 1.5
B) 1.2
C) 1.0
D) 4.8

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

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Exhibit 20-5 Below you are given a payoff table involving three states of nature and three decision alternatives. Exhibit 20-5 Below you are given a payoff table involving three states of nature and three decision alternatives.   The probability of occurrence of S<sub>1</sub> is 0.2 and the probability of occurrence of S<sub>2</sub> is 0.3. -Refer to Exhibit 20-5. The expected value of alternative C is A) 30 B) 6.5 C) 5.7 D) 5.5 The probability of occurrence of S1 is 0.2 and the probability of occurrence of S2 is 0.3. -Refer to Exhibit 20-5. The expected value of alternative C is


A) 30
B) 6.5
C) 5.7
D) 5.5

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

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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) the expected probability
D) perfect information

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

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Exhibit 20-1 Below you are given a payoff table involving two states of nature and three decision alternatives. Exhibit 20-1 Below you are given a payoff table involving two states of nature and three decision alternatives.   The probability of occurrence of S<sub>1</sub> = 0.2. -Refer to Exhibit 20-1. 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 = 0.2. -Refer to Exhibit 20-1. The expected value of perfect information is


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

E) None of the above
F) All of the above

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Exhibit 20-1 Below you are given a payoff table involving two states of nature and three decision alternatives. Exhibit 20-1 Below you are given a payoff table involving two states of nature and three decision alternatives.   The probability of occurrence of S<sub>1</sub> = 0.2. -Refer to Exhibit 20-1. The expected value of alternative A is A) 7.4 B) 11.6 C) 8.8 D) 13 The probability of occurrence of S1 = 0.2. -Refer to Exhibit 20-1. The expected value of alternative A is


A) 7.4
B) 11.6
C) 8.8
D) 13

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

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A decision criterion which weights the payoff for each decision by its probability of occurrence is known as the


A) payoff criterion
B) expected value criterion
C) probability
D) expected value of perfect information

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

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Exhibit 20-4 Below you are given a payoff table involving two states of nature and three decision alternatives. Exhibit 20-4 Below you are given a payoff table involving two states of nature and three decision alternatives.   The probability of occurrence of S<sub>1 </sub>= 0.3. -Refer to Exhibit 20-4. The expected value of the best alternative is A) 10.2 B) 13.2 C) 28.0 D) 51.0 The probability of occurrence of S1 = 0.3. -Refer to Exhibit 20-4. The expected value of the best alternative is


A) 10.2
B) 13.2
C) 28.0
D) 51.0

E) None of the above
F) A) and B)

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A fashion designer wants to produce a new line of clothes. In the production of the clothes, expensive, medium-priced, or inexpensive materials can be used. The profit associated with each type of material depends upon economic conditions next year. Below you are given the payoff table. A fashion designer wants to produce a new line of clothes. In the production of the clothes, expensive, medium-priced, or inexpensive materials can be used. The profit associated with each type of material depends upon economic conditions next year. Below you are given the payoff table.   An economist believes that the probability that the economy will improve is 20%, the probability that the economy will stay the same is 70%, and the probability that the economy will get worse is 10%.  a.Compute the expected value for each investment. Which investment is the best? b.Compute the expected value of perfect information. An economist believes that the probability that the economy will improve is 20%, the probability that the economy will stay the same is 70%, and the probability that the economy will get worse is 10%. a.Compute the expected value for each investment. Which investment is the best? b.Compute the expected value of perfect information.

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a.45,000; 57,000; 29...

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Exhibit 20-4 Below you are given a payoff table involving two states of nature and three decision alternatives. Exhibit 20-4 Below you are given a payoff table involving two states of nature and three decision alternatives.   The probability of occurrence of S<sub>1 </sub>= 0.3. -Refer to Exhibit 20-4. The recommended decision alternative based on the expected value is A) A B) B C) C D) All alternatives are the same. The probability of occurrence of S1 = 0.3. -Refer to Exhibit 20-4. The recommended decision alternative based on the expected value is


A) A
B) B
C) C
D) All alternatives are the same.

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

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Michael, Nancy, & Associates (MNA) produce color printers. The demand for their printers could be light, medium, or high with the following probabilities. Michael, Nancy, & Associates (MNA) produce color printers. The demand for their printers could be light, medium, or high with the following probabilities.   The company has three production alternatives for the coming period. The payoffs (in millions of dollars) associated with the three alternatives are shown below.    a.Compute the expected value of the three alternatives. Which alternative would you select, based on the expected values? b.Compute the expected value with perfect information (i.e., expected value under certainty). c.Compute the expected value of perfect information (EVPI). The company has three production alternatives for the coming period. The payoffs (in millions of dollars) associated with the three alternatives are shown below. Michael, Nancy, & Associates (MNA) produce color printers. The demand for their printers could be light, medium, or high with the following probabilities.   The company has three production alternatives for the coming period. The payoffs (in millions of dollars) associated with the three alternatives are shown below.    a.Compute the expected value of the three alternatives. Which alternative would you select, based on the expected values? b.Compute the expected value with perfect information (i.e., expected value under certainty). c.Compute the expected value of perfect information (EVPI). a.Compute the expected value of the three alternatives. Which alternative would you select, based on the expected values? b.Compute the expected value with perfect information (i.e., expected value under certainty). c.Compute the expected value of perfect information (EVPI).

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a.EV(alternative 1) = 22.2; EV...

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Exhibit 20-5 Below you are given a payoff table involving three states of nature and three decision alternatives. Exhibit 20-5 Below you are given a payoff table involving three states of nature and three decision alternatives.   The probability of occurrence of S<sub>1</sub> is 0.2 and the probability of occurrence of S<sub>2</sub> is 0.3. -Refer to Exhibit 20-5. The expected value of the best alternative is A) 5.0 B) 6.5 C) 7.5 D) 9.0 The probability of occurrence of S1 is 0.2 and the probability of occurrence of S2 is 0.3. -Refer to Exhibit 20-5. The expected value of the best alternative is


A) 5.0
B) 6.5
C) 7.5
D) 9.0

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

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Exhibit 20-1 Below you are given a payoff table involving two states of nature and three decision alternatives. Exhibit 20-1 Below you are given a payoff table involving two states of nature and three decision alternatives.   The probability of occurrence of S<sub>1</sub> = 0.2. -Refer to Exhibit 20-1. The expected value of the best alternative is A) 8.8 B) 9.6 C) 22.0 D) None of the answers are correct. The probability of occurrence of S1 = 0.2. -Refer to Exhibit 20-1. The expected value of the best alternative is


A) 8.8
B) 9.6
C) 22.0
D) None of the answers are correct.

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

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Cashman Co. will be leasing a new copier and is considering four plans. The company has determined it will make 12,600, 14,400, 16,200, 18,000, 19,800, or 21,600 copies per month with probabilities of .05, .10, .15, .25, .25, and .20 respectively. Cashman Co. will be leasing a new copier and is considering four plans. The company has determined it will make 12,600, 14,400, 16,200, 18,000, 19,800, or 21,600 copies per month with probabilities of .05, .10, .15, .25, .25, and .20 respectively.    a. Construct a monthly payoff table for Cashman in terms of costs. b. What is the optimal plan using the expected value approach? (Hint: This is a cost minimization problem.) a. Construct a monthly payoff table for Cashman in terms of costs. b. What is the optimal plan using the expected value approach? (Hint: This is a cost minimization problem.)

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A line or arc connecting the nodes of a decision tree is called a(n)


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

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

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