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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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- 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. 0.65An investor considers investing $17,000 in the stock market. He believes that the probability is 0.22 that the economy will improve, 0.42 that it will stay the same, and 0.36 that it will deteriorate. Further, if the economy improves, he expects his investment to grow to $23,000, but it can also go down to $11,000 if the economy deteriorates. If the economy stays the same, his investment will stay at $17,000. What is the expected value of his investment?Players would draw a card from a standard 52 card deck. Whatever card they drew determined what they won. If they draw a face card (Jack, King, Queen) then they win $5. If they draw an Ace, they win $15. For all other cards, they win nothing. A. Fill out the probability distribution table with the probabilities of each possible outcome for this game. Round decimals to four places. x $15 $5 $0 P(x) B. What is the expected value of the distribution above? (Round to the nearest cent, two decimal places.) C. If players were charged $2 per game, would they make and average profit on the games over time, or would they take an average loss over time? D. If players were charged $3 per game, would they make and average profit on the games over time, or would they take an average loss over time?
- An individual has a utility function U(W)= √w. where W is the level of wealth.They have been offered a gamble with a payout of 100 with a probability of 0.31 and a payout of ￡35 with a probabiity of 1-031.The Certainty Equivalent of this gamble is:A manager has to decide whether to prepare a bid or not. It costs P5,000 to prepare the bid. If the bid is submitted, the probability that the contract will be awarded is 50%. If the company is awarded the contract, it may earn an income of P100,000 if it succeeds, or pay a fine of P8,000 if it fails. The probability of success is estimated to be 80%. What is the expected value if the contract is awarded?The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance is shown as follows: there is a 62% chance there won't be a claim ($0), a 11% chance of a $1000 claim, a 8% chance of a $2700 claim, and otherwise, the claim will be $9000. What is the expected value of an insurance claim for this company? (please express your answer using 2 decimal places).
- 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% expected are 15% and 20%, (a) what is the probability that the selling price for that year is more than the expected price?The success of a project depends on the effort level of a worker. In case of success the revenues will be $300,000 whereas in case of no-success the revenue will be $0. The worker can provide a low effort level or a high effort level. The effort level cannot be observed by the principal. The worker requires an expected salary of $50,000 to provide the low effort level and an expected salary of $60,000 to provide the high effort level. The success probabilities for the project are 70% in case of high effort level and 50% in case of low effort level. The compensation package consists of the base salary, s, and the bonus, b, paid out in case of the project's success. What should the base salary be for the worker in an optimal contract? a. $15,000 b. $25,000 c. $30,000 d. $40,000 e. $50,000A software developer makes 175 phone calls to its current customers. There is an 8 percent chance of reaching a given customer (instead of a busy signal, no answer, or answering machine). The normal approximation of the probability of reaching at least 20 customers is Multiple Choice .022 .007 .063 .937
- A company that manufactures and sells T-shirts for sporting events, is providing shirts for an upcoming tournament. Each shirt will cost $7 to produce and will be sold for $13. Any unsold shirts at the end of the tournament can be sold for $5 apiece in the near future. The company assumes the demand for the shirts will be 1,500,3,000,4,500, or 6,000. The company also estimates that the probabilities of each of these sales levels occurring will be 20%, 25%,25%, and 30%, respectively. Determine the expected monetary value of the project if the company chooses to print 4,500 shirts for the tournament. The expected monetary value is---- (Type a whole number.)2.4 The opening 2018 World Cup odds against being the winning team specified by espn.com were 9/2 for Germany, 5/1 for Brazil, 11/2 for France, 20/1 for England, and 7/1 for Spain. Find the corresponding prior probabilities of winning for these five teams.Find the expected value assuming the risk factor is 30 % and the interest rate 12%, if you will receive $20,000 one year from today.please show work