Catalina just inherited a vineyard from a distant relative. In good years (when there is no rain or frost during harvest season), she earns $115,000 from the sale of grapes from the vineyard. If the weather is poor, she loses $35,000. Catalina's estimate of the probability of good weather is 55%. The expected value of Catalina's income from the vineyard is $. (round your answer to the nearest dollar)
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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.When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 30 or to bet $10 that the outcome is any one of the three possibilities 00, 0, or 1. 3 The gambler knows that the expected value of the $10 bet for a single number is - 53¢. For the $10 bet that the outcome is 00, 0, or 1, there is a probability of 38 of making a net profit of $30 and a probability of losing $10. 35 38 a. Find the expected value for the $10 bet that the outcome is 00, 0, or 1. b. Which bet is better: a $10 bet on the number 30 or a $10 bet that the outcome is any one of the numbers 00, 0, or 1? Why? a. The expected value is $. (Round to the nearest cent as needed.) b. Since the expected value of the bet on the number 30 is C than the expected value for the bet that the outcome is 00, 0, or 1, the bet on is better.Hello can any one help with this Economics question: A contractor spends Dollar 3,000 to prepare for a bid on a construction project which, after deducting manufacturing expenses and the cost of bidding, will yield a profit of dollar 25,000 if the bid is won. If the chance of winning the bid is ten per cent, compute his expected profit and state the likely decision on whether to bid or not to bid?
- 2. Calculate the probabilities that a. the battery life is between 7.5 and 8 hours; and b. the battery life is less than 8 hours. Are these two probabilities different? Explain why or why not. 3. Suppose that you randomly picked 100 iPhones and calculated the average battery life for these phones. Provide your best guess of the value of the average.The promoter of a football game is concerned that it will rain. She has the option of spending $14,040 on insurance that will pay $39,000 if it rains. She estimates that the revenue from the game will be $65,040 if it does not rain and $30,040 if it does rain. What must the chance of rain be if buying the policy has the same expected return as not buying it? Write expressions showing the expected returns if the promoter does and does not purchase the insurance, using p to represent the probability of rain. Without insurance, E(return) = With insurance, E(return) = The chance of rain must be _%.A man purchased a $22,500, 1-yr term-life insurance policy for $695. Assuming that the probability that he will live for another year is 0.995, find the company's expected gain. (Round your answer to the nearest cent.) $
- Utility Theory You live in an area that has a possibility of incurring a massive earthquake, so you are considering buyingearthquake insurance on your home at an annual cost of $180. The probability of an earthquake damagingyour home during one year is 0.001. If this happens, you estimate that the cost of the damage (fully coveredby earthquake insurance) will be $160,000. Your total assets (including your home) are worth $250,000. A. Apply Bayes’ decision rule to determine which alternative (take the insurance or not) maximizes yourexpected assets after one year.Online sale Suppose a student is considering selling their used smartphone online. They can sell it now for $p or wait and sell it next month for a different price. If they wait, they will receive a random offer with an equal probability of being either $300 or $100. The student can only receive one offer and cannot sell the phone after the second month. 1. Calculate the expected price in the next month. 2. Suppose that the current price p is equal to 200. (a) Give a reason why selling today could be a good idea. (b) Give a reason why selling next month could be a good idea.12. Over the last decade, robotic-drone a research and development company has researched in new drone technology for home delivery. Their sales department considers that they could sell as many as $90 million per year with a probability of 20%. With a most likely value of $76 million with a probability of 45% and a lowest value of $50 million. a. Determine the expected value of their sales. b. The sales department estimates that they could maintain this sales rhythm for 4 years with a probability of 67% or that this sales rhythm could be maintained for 8 years. Determine the Expected Value for the PW if the company considers a yearly interest rate of 10%
- 15. A city mayor decides to construct a new bridge over the major river in the town. The estimated life of such a structure will be 20 years. There is a 70% probability that the total initial costs (consulting fees and construction) will be $800,000 and a 30% probability that such costs would be $1 million. There is 100% probability that the maintenance costs would be $30,000 every 5 years. How much money should the city borrow now in order to carry out the entire project including maintenance? The interest rate is 5%.(Fill in the 4 blanks.) A monthly pass for the Stockholm subway costs $100, and fare dodgers who are caught face a fine of about $160. Stockholm transport has increased the number of ticket checks conducted, and the probability of being caught while riding the subway without paying is now 1%. Liam rides the subway 50 times a month, so that each month the probability that he is caught equals 50 x 1% = !3! 50% and he expects to pay 50 (0.01 x $160) = $80 in fines each month he rides the subway without buying the monthly pass. If Liam does not purchase a monthly pass, his expected monthly savings are $ (accepted format is dollars and cents xXx.xx). Liam's utility of saving $S equals VS , so that if he does not purchase a monthly pass, his expected utility equals (round to 2 decimals: xxx.xx). Liam's certainty equivalent is savings equal to $52.42, and thus Liam's (do not capitalize your answer and make sure to spell correctly) is $7.58. Liam can purchase full insurance from Planka.nu,…Lukas is a risk-averse farmer. He grows barley on his 1000 acre farm. In a typical year his farm yields 100 bushels of barley per acre. However, in a wet season, the farm only yields 40 bushels per acre. The probability of a typical season is 0.8 and of a wet season is 0.2. Regardless of the productivity of his farm, he expects to earn $3 per bushel (net of all costs of farming). Assume that Lukas has no other income. Write an expression for Lukas's expected utility.