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- A lottery has a grand prize of $1,000,000, 2 runner-up prizes of $100,000 each, 6 third-place prizes of $10,000 each, and 19 consolation prizes of $1,000 each. If a 4 million tickets are sold for $1 each, and the probability of any ticket winning is the same as that of any other winning, find the expected return on a $1 ticket. (Round your answer to 2 decimal places.Now, imagine that Port Chester decides to crack down on motorists who park illegally by increasing the number of officers issuing parking tickets (thus, raising the probability of a ticket). If the cost of a ticket is $100, and the opportunity cost for the average driver of searching for parking is $12, which of the following probabilities would make the average person stop parking illegally? Assume that people will not park illegally if the expected value of doing so is negative. Check all that apply.Y = 30 - 25X + error What is the expected value of Y when X is 0? Y = 10 + 13.57*X + error By how much does the expected value of Y change if X increases by 18.02 units? (Round your answer to two decimal places: ex: 123.45)
- A company invests on selling computer units worth Php 32,000.00. The probability of maintaining this price throughout the year is 65% while that of less or more than 10% the expected are 15% and 20%, (a) what is the probability that the selling price for that year is more than the expected price? a. 0.8 b. 0.85 c. 0.25 d. 0.2 e. 1 f. 0.15 g. 0.65Consider a city where everyone commutes to the city center and commuting cost per mile per month is $40. Each household occupies a 1,000-square-foot dwelling and has $7,000 worth of possessions in its dwelling. The probability that any particular household will be burglarized (involving the uninsured loss of all possessions) is 0.10 at the city center and decreases by 0.01 per mile (to 0.09 at one mile, 0.08 at two miles, and so on). The housing price is $1.00 per square foot at the city center. a) Draw the housing-price curve for locations up to five miles from the city center.Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. What is the average number of cars in the system? What is the average time that a car waits for the oil and lubrication service to begin? What is the probability that an arrival has to wait for service?
- A drug company is considering investing $100 million today to bring a weight loss pill to the market. At the end of one year, the firm will know the payoff; there is a 0.50 probability that the pill will sell at a high price and generate $37 million per year of profit forever and a 0.50 probability that the pill will sell at a low price and generate $I million per year of profit forever. The interest rate is 10%. Suppose the firm decides to wait one year to determine whether the pill will sell at a high or low price. The firm will not invest if it learns that the pill will sell at a low price. What is the net present value of waiting one year to make the investment?O $88 millionO$122.72 millionO $201.22 millionO $64.5 millionExercise 3: Risky Investment Charlie has von Neumann-Morgenstern utility function u(x) = ln x and has wealth W = 250, 000. She is offered the opportunity to purchase a risky project for price P = 160, 000. 1 1 With probability p = 2 the project will be a success and return V > 160, 000. With probability 1 −p = 2 the project will fail and be worthless (i.e. it returns 0). For simplicity assume there is no interest between the time of the investment and the time of its return, that is r = 0 . How large must V be in order for Charlie to want to purchase the risky project? [Hint: What is Charlie’s expected utility is she does not purchase the project? What is Charlie’s expected utility is she purchases the project?]You need to hire some new employees to staff your startup venture. You know that potential employees are distributed throughout the population as follows, but you can't distinguish among them: Employee Value Probability $35,000 0.1 $46,000 0.1 $57,000 0.1 $68,000 0.1 $79,000 0.1 $90,000 0.1 $101,000 0.1 $112,000 0.1 $123,000 0.1 $134,000 0.1 The expected value of hiring one employee is $_____ . Suppose you set the salary of the position equal to the expected value of an employee. Assume that employees will not work for a salary below their employee value. The expected value of an employee who would apply for the position, at this salary, is $_____ . Given this adverse selection, your most reasonable salary offer (that ensures you do not lose money) is _________ ($46,000/$57,000/$35,000/$68,000).
- Solve the following problem using an excel spreadsheet. A tobacco company isinterested in hiring a salesperson to promote smoking cigarettes in nightclubs. The position pays a flat salary of $50,000, regardless of sales levels. The firm has two applicants, Predictable Patty and Risky Ricky. Predictable Patty can produce with 100% certainty $100,000 a year in sales. Risky Ricky, on the other hand, can produce $300,000 with probability of 50%. But if he turns out to spend his time drinking and dancing in the nightclubs instead of making sales, he could actually cost the firm -$100,000 per year.a) During their first year on the job, what are the expected sales of Patty and Ricky? What are the firm’s expected profits on each worker?b) Now assume both workers are currently 25, and they will work until the retirement age of 65. The firm has the option to fire its new employee after one year based on sales, but can only hire one employee. Assume that it takes only one year to discover whether…Consider a city where everyone commutes to the city center, and the commuting cost per mile per month is $50. Each household occupies a 1,500-square-foot dwelling and has $10,000 worth of possessions in its dwelling. The probability that any particular household will be burglarized and lose all its possessions (no insurance) is 0.2 (per month) at the city center and decreases by 0.01 per mile (to 0.19 at one mile, 0.18 at two miles, and so on). The price of housing is $2 per square foot at the city center. 1. Starting from the center, a one-mile move outward changes the expected value of the loss from crime from_______ to _______, a change of _________ per square foot. 2. The slope of the housing-price curve is _________, computed as __________ 3. Draw the housing-price curve for locations up to five miles from the city center. The price changes from ________ at the city center to _________ five miles away.You are currently a worker earning $60,000 per year but are considering becoming an entrepreneur. You will not switch unless you earn an accounting profit that is on average at least as great as your current Salary. You look into opening a small grocery store. Suppose that the store has annual cost of $150,000 for labor, $60,000 for rent and $30,000 for equipment. There is one-half probability that revenues will be $20,000 and a half probability that revenue will be $420,000 a. In the low revenue Situation, what will your accounting profit or loss be? b. In the high revenue situation, what will your accounting profit or loss be? c. On average, how much do you expect your revenue to be?