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If the individual’s income is either OA = $30,000 with probability of 0.95 or
OB= $5000,
what is the expected income of this individual?
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- 1. A person who is 55 year old bought a PHP 2,000,000 life insurance policy at a cost of PHP 1.2 M and has a probability of 0.978 of living to age 56, find the expectation of the policy. 2. nPn-r = ? (Permutations)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.) $Guy Fieri has purchased a significant plot of land in Northwest Ohio for his newest venture: FlavorTownship. This hub for mind-boggling flavor and entertainment is a strictly for-profit operation. Guy would like to keep Flavor Township open all year-round, but due to Ohio weather the following are the probabilities of when it will be open: |- 30% chance it is open 300 days a year |- 55% chance it is open 325 days a year |- 15% chance it is open 350 days a year Flavor Township will expect to host 14,000 people each day that it is open and expects an average revenue of $45 per visitor. This paradigm-shifting landmark will cost $420,000,000 to start the investment and will require annual costs (food, employees, etc.) of $115,000,000. Every 3 years, Flavor Township will undergo necessary maintenance that will cost $22,000,000. If the expected life of Flavor Township is 15 years and a 16% return is expected, what is the expected NPV of this project?
- A 28- year- old man pays $158 for one year life insurance policy with coverage of $110,000. If the probability he will live through the year is 0.9994, what is the expected value for the insurance policy?The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 0.20 0.30 0.35 0.15 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (indoitars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units?Marcus is an expected utility maximizer with the Bernoulli utility function u(w) = √w. He faces a gamble in his wealth. In a good state he gets 81 and in a bad state he gets 9. He can take out an insurance plan which will leave him with a wealth of 49 in each state. (a) (b) (c) state? Is Marcus risk averse? Will he purchase the insurance if the probability of the states is ½ for each Let p denote the probability of the good state. For what value(s) of p will Markus be just indifferent between taking out the insurance and not taking it out? Show your working.
- The owner of a ski resort is considering installing a new ski lift that will cost $900,000. Expenses for operating andmaintaining the lift are estimated to be $1,500 per day when operating. The U.S. Weather Service estimates thatthere is a 60% probability of 80 days of skiing weather per year, a 30% probability of 100 days per year, and a 10% probability of 120 days per year. The operators of the resort estimate that during the first 80 days of adequate snow in a season, an average of 500 people will use the lift each day, at a fee of $10 each. If 20 additional days are available, the lift will be used by only 400 people per day during the extra period; and if 20 more days of skiing are available, only 300 people per day will use the lift during those days. The owners wish to recover any invested capital within five years and want at least a 25% per year rate of return before taxes. Based on a before-tax analysis, should the lift be installed?An investment plan allows investors to deposit a minimum of £1,000 at the beginning of the term, which pays a fixed return rate of 5% per annum. Af- ter a year, investors have to deposit a minimum of £800 with an expected return rate of 3% per annum for the second year and a standard deviation of 2% per annum. a. Find the expected value of the total minimum amount earned after two years of investment. b. Find the standard deviation of the total minimum amount earned after two years of investment.The probabilities that the life of a machine will vary from 6 to 12 years are given in the table below. The expected life of the machine is ____________. Life , Years 6 7 8 9 10 11 12 Probability 0.10 0.15 0.25 0.15 0.20 0.10 0.05
- Q1) An expected utility maximiser owns a car worth £60000£60000 and has a bank account with £20000£20000. The money in the bank is safe, but there is a 50%50% probability that the car will be stolen. The utility of wealth for the agent is u(y)=ln(y)u(y)=ln(y) and they have no other assets.21 Los Angeles averages 266.5 sunny days per year. What is probability that Boston has at least as many sunny days as Los Angeles? a 0.0020 b 0.0031 c 0.0047 d 0.0073A 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.