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- According to a recent Wall Street Journal article, about 2% of new US car sales are electric vehicles (data from Edison Electric Institute reported by Jinjoo Lee, "Peak Oil? Not This Year. Or This Decade," January 9, 2021 pg. B12). Suppose a company has 111 employees who drive new cars (separately) to work each day. What is the probability that at least one of them will drive an electric car? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Suppose that a high school student is preparing to take the SAT exam. Explain why his or her eventual SAT score is properly viewed as a random variable.Suppose that an individual is just willing to accept a gamble to win or lose $1000 if the probability ofwinning is 0.6. Suppose that the utility gained if the individual wins is 100 utils. How much utility does one lose if one loses the gamble?
- Suppose that an individual is just willing to accept a gamble to win or lose $1000 if the probability ofwinning is 0.6. Suppose that the utility gained if the individual wins is 100 utils. What is expected gains/loss.6.33 Statistics released by the National HighwayTraffic Safety Administration and the National SafetyCouncil show that on an average weekend night, 1 outof every 10 drivers on the road is drunk. If 400 driversare randomly checked next Saturday night, what is theprobability that the number of drunk drivers will be(a) less than 32?(b) more than 49?(c) at least 35 but less than 47?Assume that there are two parties, I and V. I engages in an activity that tends to injure V. V and I both can take care to reduce the expected harm from accidents. Specifically, suppose that if I takes no care (i.e., spends $0 on accident precautions), expected injury to V is $250. If I spends $40 on accident precautions, however, the expected injury to V is reduced to $175. Further suppose that V has a choice between taking no care or spending $50 in care to avoid accidents. If V spends $50 in care, V’s expected harm falls by $20 regardless of the level of care that I takes. Assume that courts adopt the socially‐optimal level of injurer care as the negligence standard. That is, if I takes less than the socially‐optimal level of care, she will be found negligent and must pay for all damages to V. If I takes at least the socially optimal level of care, she will not have to compensate V for his damages. 1. Under a negligence standard, what is I’s dominant strategy? a) I does not have a…
- ADVERSE SELECTIONSomet Health Insurance Company wants to sell a health insurance product for $700 permonth. There is no requirement for healthy people to have insurance coverage. Thecompany conducts a survey to see how different populations respond to the proposed cost.People with no illnesses and disabilities, generally the young and healthy, respond that theydo not spend $700 on healthcare in an entire year, and most feel they would not waste somuch money on premiums when the chance of needing surgery or expensive healthcaretreatments is so small. However, older, sicker people think that $700 per month is a greatdeal, as most of them spend far in excess of this amount on healthcare. It seems like agreat deal for them. What will happen to the costs of the health insurance if only the older, sicker peopleenroll?Suppose that there are two types of workers: high and low. Employers cannot distinguish between different types during an interview. Employers value high type at $200,000 and low type at $100,000. Employers are in a competitive market (i.e. zero profit applies). High type workers have a reservation wage of 140,000 and low type workers have a reservation wage of 80,000. Suppose that 50% of all workers are high type. The productivities, reservation wages, and the probabilities are common knowledge). What wage would the employers offer? Please explain the solution!David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 8 people will be randomly picked for a free lesson of a Tahitian dance a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (round 4 decimal places) b. What is the probability that Valerie gets picked before David for the Tahitian dance lesson? (round 4 decimal places)
- Suppose that Winnie the Pooh and Eeyore have the same value function: v(x) = x1/2 for gains and v(x) = -2(|x|)1/2 for losses. The two are also facing the same choice, between (S) $1 for sure and (G) a gamble with a 25% chance of winning $4 and a 75% chance of winning nothing. Winnie the Pooh and Eeyore both subjectively weight probabilities correctly. Winnie the Pooh codes all outcomes as gains; that is, he takes as his reference point winning nothing. For Pooh: What is the value of S? What is the value of G? Which would he choose? Eeyore codes all outcomes as losses; that is, he takes as his reference point winning $4. For Eeyore: What is the value of S? What is the value of G? Which would he choose?Pisa Pizza, a seller of frozen pizza, is considering introducting a healthier version of its pizza that will be low in cholesterol and contain no trans fats. The firm expects that sales of new pizza will be $20 million per year. While many of these sales will be to new customers, Pisa Pizza estimaes that 40% will come from customers who switch to the new, healthier pizzai nstead of buying the original version. a) Assume cusotmer will spend the same amount on either version. What level of incremental sales is associated with introducing the new pizza? b) Suppose that 50% of hte cusomters who will switch from Pisa Pizza's orignial pizza to its healthier pizza will switch to another brand if Pisa PIzza does not introduce a healthier pizza. What level of incremental sales is associated with introducing the new pizza in this case?Imagine that a zealous prosecutor (P) has accused a defendant (D) of committing a crime. Suppose that the trial involves evidence production by bothparties and that by producing evidence, a litigant increases the probabilityof winning the trial. Specifically, suppose that the probability that the defendant wins is given by eD>(eD + eP), where eD is the expenditure on evidenceproduction by the defendant and eP is the expenditure on evidence production by the prosecutor. Assume that eD and eP are greater than or equal to0. The defendant must pay 8 if he is found guilty, whereas he pays 0 if heis found innocent. The prosecutor receives 8 if she wins and 0 if she losesthe case. (a) Represent this game in normal form.(b) Write the first-order condition and derive the best-response function foreach player.(c) Find the Nash equilibrium of this game. What is the probability that thedefendant wins in equilibrium.(d) Is this outcome efficient? Why?