Q2: Consider a person who is thinking about whether to engage in a life of crime. He knows that, if he gets caught, he will be in jail and his consumption will be low, xo, but if he does not get caught, he will be able to consume an amount x₁ that is considerably above xo. (a) Suppose that xo 20; x₁ = 80 (where both are expressed in thousands of pounds) and suppose the probability of getting caught is 8 = 0.5. What is the expected consumption level if the life of crime is chosen? = (b) Suppose the potential criminal's tastes over gambles can be expressed using the following utility function u(x) = ln (x). Calculate the person's expected utility from a life of crime. How does it compare with the utility of the expected value of consumption? Based on your answer, explain this individual's attitude towards risk and draw the consumption/utility relationship. (c) Consider the level of consumption this person could attain by not engaging in a life of crime. What level of consumption from an honest living would make the person indifferent between a life of crime and an honest living? Denote this consumption level and show it on your diagram. The Minister for Crime proposes an increased deterrence policy, but no extra spending on law enforcement. This policy increases the penalties for committing crimes, which thus reduces xo, the consumption level of an individual who gets caught. (d) Suppose, therefore, that the expected consumption level (found in part (a)) for a person gaged in a life of crime remains unchanged under this policy. Using a diagram, illustrate what will happen and with reference to the certainty equivalent,

Becky is deciding whether to purchase an insurance for her home againtst burglary. the payoff for her is shown as follow: Net worth of her Net worth of her home: $ 20000 burglary(10%) Net worth of her Net worth of her home: $50000 burglary (90%) The insueance would cover all the loss from burlary and the insurance fee is $8000. Her utility funtion is given as u=w ^0.3 Should Beck purchase the insurance Explain.

please  only do: if you can teach explain each part

2. Christiaan can go hiking, or he can stay at home. Hiking would be fun if nothing bad happens, but there is a risk if he goes hiking that he will meet a bear (not fun) or get bitten by a snake (very not fun). Christiaan decides that if there is a 5% chance of meeting a bear and a 1% chance of getting bitten by a snake, he would prefer to go hiking rather than stay at home. However, if the chance of meeting a bear is 10% and the chance of a snake bite is 5%, he definitely would rather stay at home. then (a) Consider the utility function: U (stay home) = 25, U (hike no event) = 100, U (hike & snake) -1000, U (hike & bear) = -200. Does this utility function represent Christiaan's pref- erences? Explain. (b) Suppose that the utility function in (a) does represent Christiaan's preferences. Would Christiaan prefer to hike or stay home if the probability of meeting a bear is 6% and the probability of being bitten by a snake is 4%? Show your work.

Suppose 1,250 raffle tickets are being sold for $5 each. One ticket will be chosen to receive a cash prize of $2,500, and three tickets will be chosen to recelve cash prizes of $500. Let x be the amount of money won/lost by purchasing one raffle ticket. Find the expected value for . (Round your answer to the nearest penny. Do not include as sign in your answer. Your answer may be positive or negative.)

To go from Location 1 to Location 2, you can either take a car or take transit. Your utility function is: U= -1Xminutes -5Xdollars +0.13Xcar (i.e. 0.13 is the car constant) Car= 15 minutes and $8 Transit= 40 minutes and $4 What is your probability of taking transit given the conditions above? What is your probability of taking transit if the number of buses on the route were doubled, meaning the headways are halved? Remember to include units.

answer this properly, remember (0.35x50)+(0.65x10)=£24 here

Sh.11.

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