Use the accompanying payoff table with event probabilities to answer parts​ (a) through​ (h).           Question content area bottom Part 1 a. Calculate the expected monetary value​ (EMV) for actions A and B.   ​EMV(A)=​$enter your response here ​EMV(B)=​$enter your response here ​(Type integers or​ decimals.) Part 2 b. Calculate the expected opportunity loss​ (EOL) for actions A and B.   ​EOL(A)=​$enter your response here ​EOL(B)=​$enter your response here ​(Type integers or​ decimals.) Part 3 c. Explain the meaning of the expected value of perfect information​ (EVPI) in this problem. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a​ decimal.)   A. The EVPI value of ​$enter your response here represents the maximum amount that you should be willing to pay for perfect information.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 9E: An ordinary die is rolled. Find the probability of each event. Rolling a 2
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Use the accompanying payoff table with event probabilities to answer parts​ (a) through​ (h).
 
 
 
 
 

Question content area bottom

Part 1
a. Calculate the expected monetary value​ (EMV) for actions A and B.
 
​EMV(A)=​$enter your response here
​EMV(B)=​$enter your response here
​(Type integers or​ decimals.)
Part 2
b. Calculate the expected opportunity loss​ (EOL) for actions A and B.
 
​EOL(A)=​$enter your response here
​EOL(B)=​$enter your response here
​(Type integers or​ decimals.)
Part 3
c. Explain the meaning of the expected value of perfect information​ (EVPI) in this problem. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a​ decimal.)
 
A.
The EVPI value of
​$enter your response here
represents the maximum amount that you should be willing to pay for perfect information.
 
B.
The EVPI value of
​$enter your response here
represents the minimum amount that you should be willing to pay for perfect information.
 
C.
The EVPI value of
​$enter your response here
is the difference between the maximum expected opportunity loss and the minimum expected opportunity loss.
 
D.
The EVPI value of
​$enter your response here
is the difference between the maximum expected monetary value and the minimum expected monetary value.
Part 4
d. Based on the results of​ (a) or​ (b), which action would you​ choose?
 
 
A.
Action
A
is better because it has the higher expected monetary value and the lower expected opportunity loss.
 
B.
Action
A
is better because it has the the lower expected monetary value and the lower expected opportunity loss.
 
C.
Action
B
is better because it has the lower expected monetary value and the higher expected opportunity loss.
 
D.
Action
B
is better because it has the higher expected monetary value and the higher expected opportunity loss.
Part 5
e. Calculate the coefficient of variation​ (CV) for each action.
 
CVA=enter your response here​%
CVB=enter your response here​%
​(Round to three decimal places as​ needed.)
Part 6
f. Calculate the​ return-to-risk ratio​ (RTRR) for each action.
 
​RTRR(A)=enter your response here
​RTRR(B)=enter your response here
​(Round to three decimal places as​ needed.)
Part 7
g. Based on the results of​ (e) and​ (f), what action would you​ choose?
 
 
A.
Action
A
is better because it has the lower​ return-to-risk ratio.
 
B.
Action
A
is better because it has the higher​ return-to-risk ratio.
 
C.
Action
B
is better because it has the lower​ return-to-risk ratio.
 
D.
Action
B
is better because it has the higher​ return-to-risk ratio.
Part 8
h. Compare the results of​ (d) and​ (g) and explain any differences. Choose the correct answer below.
 
A.
The results
are the same even though
the criteria used in​ (d) select for low average payoffs and high average losses while ignoring​ variation, and the criterion used in​ (g) selects for high average values and low variation.
 
B.
The results
are the same even though
the criteria used in​ (d) select for low average payoffs and high average losses while ignoring​ variation, and the criterion used in​ (g) selects for high average values and high variation.
 
C.
The results
are different because
the criteria used in​ (d) select for high average payoffs and low average losses while ignoring​ variation, and the criterion used in​ (g) selects for high average values and high variation.
 
D.
The results
are different because
the criteria used in​ (d) select for high average payoffs and low average losses while ignoring​ variation, and the criterion used in​ (g) selects for high average values and low variation.
 
 
Use the accompanying payoff table with event probabilities to answer parts (a) through (h).
E Click the icon to view the payoff table with probabilities.
a. Calculate the expected monetary value (EMV) for actions
and B.
EMV(A) = S
EMV(B) = $
(Type integers or decimals.)
b. Calculate the expected opportunity loss (EOL) for actions A and B.
EOL(A) = S
EOL(B) = S
(Type integers or decimals.)
c. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal.)
O A. The EVPI value of $ represents the maximum amount that you should be willing to pay for perfect information.
O B. The EVPI value of $ represents the minimum amount that you should be willing to pay for perfect information.
O C. The EVPI value of $ is the difference between the maximum expected opportunity loss and the minimum expected opportunity loss.
O D. The EVPI value of $ is the difference between the maximum expected monetary value and the minimum expected monetary value.
d. Based on the results of (a) or (b), which action would you choose?
O A. Action A is better because it has the higher expected monetary value and the lower expected opportunity loss.
O B. Action A is better because it has the the lower expected monetary value and the lower expected opportunity loss.
O C. Action B is better because it has the lower expected monetary value and the higher expected opportunity loss.
O D. Action B is better because it has the higher expected monetary value and the higher expected opportunity loss.
Transcribed Image Text:Use the accompanying payoff table with event probabilities to answer parts (a) through (h). E Click the icon to view the payoff table with probabilities. a. Calculate the expected monetary value (EMV) for actions and B. EMV(A) = S EMV(B) = $ (Type integers or decimals.) b. Calculate the expected opportunity loss (EOL) for actions A and B. EOL(A) = S EOL(B) = S (Type integers or decimals.) c. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.) O A. The EVPI value of $ represents the maximum amount that you should be willing to pay for perfect information. O B. The EVPI value of $ represents the minimum amount that you should be willing to pay for perfect information. O C. The EVPI value of $ is the difference between the maximum expected opportunity loss and the minimum expected opportunity loss. O D. The EVPI value of $ is the difference between the maximum expected monetary value and the minimum expected monetary value. d. Based on the results of (a) or (b), which action would you choose? O A. Action A is better because it has the higher expected monetary value and the lower expected opportunity loss. O B. Action A is better because it has the the lower expected monetary value and the lower expected opportunity loss. O C. Action B is better because it has the lower expected monetary value and the higher expected opportunity loss. O D. Action B is better because it has the higher expected monetary value and the higher expected opportunity loss.
Action
Event Probability
A
B
1
0.5
50
110
0.5
210
100
2.
Transcribed Image Text:Action Event Probability A B 1 0.5 50 110 0.5 210 100 2.
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