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when playing at a casino your expected value means the amount you gain at a single play.
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- True or False A risk preferring person will always bet no True or False: A risk-preferring person will always bet, no matter how much the odds are against him. True or False A risk preferring person will always bet noCompany ABC holds an auction. Five bidders were invited. Company ABC estimates that each bidder has a value of either 15 or 25 for the item, and the probabilities attach to each value is 50%. What is the expected price? What is the price if three of the five bidders collude?You have a 50 percent chance of making $0, a 40 percent chance of making $100, and a 10 percent chance of losing $100. Calculate the expected value and variance of the payoff.
- You're a contestant on a TV game show. In the final round of the game, if contestants answer a question correctly, they will increase their current winnings of $1 million to $3 million. If they are wrong, their prize is decreased to $750,000. You believe you have a 25% chance of answering the question correctly. Ignoring your current winnings, your expected payoff from playing the final round of the game show is [$ blank]. Given that this is positive [blank (positive/negative)], you should [blank (should/should not)] play the final round of the game. (Hint: Enter a negative sign if the expected payoff is negative.) The lowest probability of a correct guess that would make the guessing in the final round profitable (in expected value) is [blank]. (Hint: At what probability does playing the final round yield an expected value of zero?)BPO Services is in the business of digitizing information from forms that are filled out by hand. In 2006, a big client gave BPO a distribution of the forms that it digitized in house last year, and BPO estimated how much it would cost to digitize each form. Form Type Mix of Forms Form Cost A 0.5 $3.00 B 0.5 $1.00 The expected cost of digitizing a form is . Suppose the client and BPO agree to a deal, whereby the client pays BPO to digitize forms. The price of each form processed is equal to the expected cost of the form that you calculated in the previous part of the problem. Suppose that after the agreement, the client sends only forms of type A. The expected digitization cost per form of the forms sent by the client is . This leads to an expected loss of per form for BPO. (Hint: Do not round your answers. Enter the loss as a positive number.)Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $350,000. Your dealings on the secondhandmarket lead you to believe that if you commit to a price of $400,000, there is a 0.4 chance you will be able to sell the machine. If you commit to a price of $450,000, there is a 0.25 chance you will be able to sell the machine. If you commit to a price of $500,000, there is a 0.1 chance you will be able to sell the machine. These probabilities are summarized in the following table. For each posted price, enter the expected value of attempting to sell the machine at that price. (Hint: Be sure to take into account the value of the machine to your company in the event that you are not be able to sell the machine.)
- Consider a game where there is a $2,520 prize if a player correctly guesses the outcome of a fair 7-sided die roll.Cindy will only play this game if there is a nonnegative expected value, even with the risk of losing the payment amount.What is the most Cindy would be willing to pay?The prizes that can be one and a sweepstakes are listed below together with the chances of winning each one: $5900(1 chance in 8600); $2700(1 chance in 5000);$600(1 chance in 4800);$200(1chance in 2500). Find the expected value of the amount won for one entry if the cost of entering is 52 centsYour company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $350,000. Your dealings on the secondhand market lead you to believe that if you commit to a price of $400,000, there is a 0.5 chance you will be able to sell the machine. If you commit to a price of $450,000, there is a 0.2 chance you will be able to sell the machine. If you commit to a price of $500,000, there is a 0.15 chance you will be able to sell the machine. These probabilities are summarized in the following table. For each posted price, enter the expected value of attempting to sell the machine at that price. (Hint: Be sure to take into account the value of the machine to your company in the event that you are not be able to sell the machine.) Posted Price Probability of Sale Expected Value ($) ($) $500,000…
- Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for possible future product and estimates that the reservation value is $250,000. Your dealings on the second-hand market lead you to believe that there is a 0.4 chance a random buyer will pay $300,000, a 0.25 chance the buyer will pay $350,000, a 0.1 chance the buyer will pay 400,000, and a 0.25 chance it will not sell. If you must commit to a posted price, what price maximizes profits?Bill has been adjudicated by the court to be mentally incompetent. Any contract that bill would enter into would be void? True or falseDue to high accident rates in South Africa during the Festive season, the Road Accident Fund has issued a warning to government that the fund will be insolvent soon. Advise the Minister on the cost of insurance that can collapse the scheme.