2. If you have square root utility function (that is, u(x)=/x ), what is the expected utility of the gamble? 3. If you have square root utility function, what is the certainty equivalent of the gamble? 4. Use your answers in questions I and 3 above to argue that a decision maker with square root utility function woula aversion in her choices related to this gamble. your answer from part (4) by a graph. o label the axis and put the relevant values o indicate EV(G) by point A o indicate EU(G) by point B 5. Illustrate OCT tv 30 MacBook Air 80 DII DD F1 F2 F3 F4 F5 F6 F7 FB F9

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you are faced with the following gamble "G". There is a 1/3 chance of winning $36, and a 2/3 chance of winning $81.
1. What is the expected value of the gamble?
2. If you have square root utility function (that is, u(x)=/x), what is the expected utility of the gamble?
3. If you have square root utility function, what is the certainty equivalent of the gamble?
4. Use your answers in questions 1 and 3 above to argue that a decision maker with square root utility function would exhibit risk
aversion in her choices related to this gamble.
5. 1llustrate your answer from part (4) by a graph.
o label the axis and put the relevant values
o indicate EV(G) by point A
o indicate EU(G) by point B
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Transcribed Image Text:Suppose you are faced with the following gamble "G". There is a 1/3 chance of winning $36, and a 2/3 chance of winning $81. 1. What is the expected value of the gamble? 2. If you have square root utility function (that is, u(x)=/x), what is the expected utility of the gamble? 3. If you have square root utility function, what is the certainty equivalent of the gamble? 4. Use your answers in questions 1 and 3 above to argue that a decision maker with square root utility function would exhibit risk aversion in her choices related to this gamble. 5. 1llustrate your answer from part (4) by a graph. o label the axis and put the relevant values o indicate EV(G) by point A o indicate EU(G) by point B 30 tv MacBook Air 80 DII F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 @ $ & 4 7 Q W E R T Y U | A S D F G H. J K V command command *00 B * 3 N
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