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QUESTION 1 If the expected value without information is $1,000, and the expected

ID: 3260469 • Letter: Q

Question

QUESTION 1

If the expected value without information is $1,000, and the expected payoff with perfect information is $2,500, then the EVPI is:

a. $3,500

b. $2,500

c. $1,500

d. Not enough information is given.

QUESTION 2

The strategy that represents a hybrid between optimistic and pessimistic is:

a. LaPlace

b. Minimax regret

c. Maximin

d. Hurwicz

QUESTION 3

Consider the following payoff table. The LaPlace value for A2 would be:

S1

S2

S3

S4

A1

22

14

10

-8

A2

12

6

16

-2

A3

-4

8

10

12

a. 9.5

b. 8.0

c. 6.5

d. 16

QUESTION 4

Consider the following payoff table. With alpha = 0.4, the Hurwicz value for A3 would be:

S1

S2

S3

S4

A1

22

14

10

-8

A2

12

6

16

-2

A3

-4

8

10

12

a. 10.4

b. 4.8

c. 5.6

d. 2.4

QUESTION 5

Consider the following payoff table. In a regret matrix, the value for the combination A1 and S4 would be:  

S1

S2

S3

S4

A1

22

14

10

-8

A2

12

6

16

-2

A3

-4

8

10

12

a. 20

b. 14

c. -8

d. 4

a. $3,500

b. $2,500

c. $1,500

d. Not enough information is given.

QUESTION 2

The strategy that represents a hybrid between optimistic and pessimistic is:

a. LaPlace

b. Minimax regret

c. Maximin

d. Hurwicz

QUESTION 3

Consider the following payoff table. The LaPlace value for A2 would be:

S1

S2

S3

S4

A1

22

14

10

-8

A2

12

6

16

-2

A3

-4

8

10

12

a. 9.5

b. 8.0

c. 6.5

d. 16

QUESTION 4

Consider the following payoff table. With alpha = 0.4, the Hurwicz value for A3 would be:

S1

S2

S3

S4

A1

22

14

10

-8

A2

12

6

16

-2

A3

-4

8

10

12

a. 10.4

b. 4.8

c. 5.6

d. 2.4

QUESTION 5

Consider the following payoff table. In a regret matrix, the value for the combination A1 and S4 would be:  

S1

S2

S3

S4

A1

22

14

10

-8

A2

12

6

16

-2

A3

-4

8

10

12

a. 20

b. 14

c. -8

d. 4

Explanation / Answer

1) EVPI = expected with information - expected without information

=> 2500-1000

=> 1500

Hence option C

2) LaPlace strategy gives the hybrid between the optimistic ans pessimistic approach..Hence Option A

NOTE- We are bound to give answer to 1 question only and i have provided answer to 2 questions..please post remaining questions as separate question..thanks

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