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- 5 Historical data indicates that only 35% of cable customers are willing to switch companies. If a binomial process is assumed, then in a sample of 12 cable customers, what is the probability that between 3 and 5 (inclusive) customers are willing to switch companies? (Use TI 84 and round answer to at least 3 decimal places)In the game of blackjack as played in casinos in Las Vegas, Atlantic City, and Niagara Falls, as well as in many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 45%. Find the probability that an average player wins. a.Twice in 5 hands. b. Ten or more times in 25 hands. Arrivals 0 1 2 3 4 5 6 7 8 Frequency 14 31 47 41 29 21 10 5 2First Fiddler's Bank has foreclosed on a home mortgage and is selling the house at auction. There are three bidders for the house, Ernie, Teresa, and Marilyn. First Fiddler's does not know the willingness to pay of these three bidders for the house, but on the basis of its previous experience, the bank believes that each of these bidders has a probability of 1/3 of valuing it at $600,000, a probability of 1/3 of valuing at $500,000, and a probability of 1/3 of valuing it at $200,000. First Fiddler's believes that these probabilities are in de pendent among buyers. If First Fiddler's sells the house by means of a second- bidder, sealed- bid auction (Vickrey auction), what will be the bank's expected revenue from the sale? (Choose the closest option.) The closest option is 448, 148. Please explain in details thank you.
- Apple and Google are interested in hiring a new CEO. Both firms have the same set of final candidates for the CEO position: Indra, Cao, and Virginia. Both firms need to decide who to make a job offer to, and the hiring process is such that they each only make one job offer.If, say, Apple makes a job offer to Indra and Google makes a job offer to one of the other candidates, then Apple’s probability of success in hiring Indra is pIndra. The same is true for Google. If they both make a job offer to Indra, each has probability pIndra/2 of success. It has been estimated that pIndra = 20%, and pCao = pVirginia = 30% (Note that these probabilities need not add up to 100%).Suppose that both Apple and Google attach a valuation of 10 to successfully hiring Indra, and a valuation of 7 to successfully hiring each of the other candidates. A hiring attempt, if unsuccessful, has a valuation of zero. (a) Convert this story into a game by completing the following game table;GoogleIndra Cao…Apple and Google are interested in hiring a new CEO. Both firms have the same set of final candidates for the CEO position: Indra, Cao, and Virginia. Both firms need to decide who to make a job offer to, and the hiring process is such that they each only make one job offer. If, say, Apple makes a job offer to Indra and Google makes a job offer to one of the other candidates, then Apple’s probability of success in hiring Indra is pIndra. The same is true for Google. If they both make a job offer to Indra, each has probability pIndra/2 of success. It has been estimated that pIndra = 20%, and pCao = pVirginia = 30% (Note that these probabilities need not add up to 100%). Suppose that both Apple and Google attach a valuation of 10 to successfully hiring Indra, and a valuation of 7 to successfully hiring each of the other candidates. A hiring attempt, if unsuccessful, has a valuation of zero. Convert this story into a game by completing the following game table; Google…2. Kier, in The scenario, wants to determine how each of the 3 companies will decide on possible new investments. He was able to determine the new investment pay off for each of the three choices as well as the probability of the two types of market. If a company will launch product 1, it will gain 50,000 if the market is successful and lose 50,000 if the market is a failure. If a company will launch product 2, it will gain 25,000 if the market is successful and lose 25,000 if the market will fail. If a company decides not to launch any of the product, it will not be affected whether the market will succeed or fail. There is a 56% probability that the market will succeed and 44% probability that the market will fail. What will be the companies decision based on EMV? What is the decision of each company based on expected utility value?
- David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 8 people will be randomly picked for a free lesson of a Tahitian dance a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (round 4 decimal places) b. What is the probability that Valerie gets picked before David for the Tahitian dance lesson? (round 4 decimal places)In a Godiva shop, 40% of the cookies are plain truffles, 20% are black truffles, 10% are cherry cookies, and 30% are a mix of all the others. Suppose you pick one at random from a prepacked bag that reflects this composition. a. What is the probability of picking a plain truffle? b. What is the probability of picking truffle of any kind? c. If you instead pick three cookies in a row, what is the probability that all three are black truffles?Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a diamond and the second card is red? (Round your answer to three decimal places.)
- Suppose that an individual is just willing to accept a gamble to win or lose $1000 if the probability ofwinning is 0.6. Suppose that the utility gained if the individual wins is 100 utils. How much utility does one lose if one loses the gamble?Suppose that there are two types of entrepreneur: skilled and unskilled. Skilled entrepreneurs have a probability p = 2/3 of success if they get the loan. Unskilled entrepreneurs have zero chance of being successful. Despite that, assume that unskilled entrepreneurs want to take up the loan, because it is cool to say you have a startup. The bank does not observe skill. The share of skilled entrepreneurs is s. Question 1: 1A). TRUE OR FALSE: If L = 2, R = 6, and s = 0.5, then the bank would have zero expected profits, but entrepreneurs would never take up the loan. 1B. ) TRUE OR FALSE: If the loan amount is L = 2, the payback amount is R = 3, and the share of skilled entrepreneurs is s = 0.9, then the bank will have positive expected profits.A law school is trying to gain a better understanding of the determinants of bar passage rates. Suppose that they the following facts were uncovered: 1. The probability with which a randomly selected graduate has received an A in Economic Foundations of Legal Studies (EFLS) is 0.3;2. The probability with which a randomly selected graduate has passed the bar exam is 0.81;3. The probability with which a randomly selected graduate has received an A in EFLS and has passed the bar exam is 0.27. Which of the following statements is true regarding the events X and Y, defined as follows: X = “a randomly selected graduate having received an A in EFLS”; andY = “a randomly selected student having passed the bar exam”? A) X and Y are independent events, and this can be verified by noting that P(X|Y) = 0.3.B) X and Y are not independent events, and this can be verified by noting that P(X|Y) = 0.3.C) X and Y are not independent events, and this can be verified by noting that P(X|Y) =.333.D) X and Y…