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- Indicate whether the statement is true or false, and justify your answer.If the quality of cars is normally distributed rather than uniformly distributed, the market will not unravel.You and two other people are to place bids for an object, with the high bid winning. If you win, you plan to sell the object immediately for 10,000.(a) How much should you bid to maximize your expected profit if you believe that the bids of the others can be regarded as being independent and uniformly distributed between 7,000 and 10,000?You and 2 other people are to place bids for an object, with the high bid winning. If you win, you plan to sell the object immediately for 10,000.(b) How much should you bid to maximize your expected profit if you believe that the bids of the others can be regarded as identical and uniformly distributed between 7,000 and 10,000?
- Suppose in a tournament with only three players left, first place receives $6,000, second place receives $3,000, and third place receives $500. You have a 32% chance of winning first place, 30% chance of winning second place, and 38% chance of winning third place. a. What would be your expected winnings in this tournament? b. The tournament organizer gives you the option to continue playing or stop and split the total prize money, proportional to your current standings. If you currently have 700 of the 1800 chips currently in play, how much would you win if you stopped playing and split the winnings? c. Based on parts a and b, should you continue playing or stop and split the money? Why?You and two other people are to place bids for an object, with the high bid winning. If you win, you plan to sell the object immediately for 10,000.(a) How much should you bid to maximize your expected profit if you believe that the bids of the others can be regarded as being independent and uniformly distributed between 7,000 and 10,000?(b) How much should you bid to maximize your expected profit if you believe that the bids of the others can be regarded as identical and uniformly distributed between 7,000 and 10,000?You and two other people are to place bids for an object, with the high bid winning. If you win, you plan to sell the object immediately for 10,000. How much should you bid to maximize your expected profit if you believe that the bids of the others can be regarded as identical and uniformly distributed between 7,000 and 10,000?
- Suppose there are 11 buyers and 11 sellers, each willing to buy or sell one unit of a good, with values {$14, $13, $12, $11, $10, $9, $8, $7, $6, $5, $4,}. Assume no transaction costs and a competitive market. At the optimal bid, ask spread, what is the total profit that the market maker makes? $8 $12 $18 $20A professor, transferred from Toronto to New York, needs to sell his house in Toronto quickly. Someone has offered to buy his house for $220,000, but the offer expires at the end of the week. The professor does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with his realtor, the professor believes the price he will get by leaving the house on the market for another month is uniformly distributed between $210,000 and $235,000.If he leaves the house on the market for another month, what is the probability that he will get at least $225,000 for the house?If he leaves it on the market for another month, what is the probability he will get less than $217,000?What is the expeted value and standard deviation of the house price if it is left in the market? solve in excel if possible!A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. The executive’s employer has offered to buy the house for $210,000, but the offer expires at the end of the week. The executive does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with her realtor, the executive believes the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and $225,000.a. If she leaves the house on the market for another month, what is themathematical expression for the probability density function of the sales price?b. If she leaves it on the market for another month, what is the probability she will get at least $215,000 for the house?c. If she leaves it on the market for another month, what is the probability she will get less than $210,000?d. Should the executive leave the house on the market for another month? Why or why not?
- A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. The executive's employer has offered to buy the house for 206,000, but the offer expires at the end of the week. The executive does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with her realtor, the executive believes the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and 230,000. (a) If she leaves the house on the market for another month, what is the mathematical expression for the probability density function of the sales price? Let x = sales price. (b) If she leaves it on the market for another month, what is the probability she will get at least $224,000 for the house? (c) If she leaves it on the market for another month, what is the probability she will get less than $206,000? (d) Should the executive leave the house on the…A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. The executive's employer has offered to buy the house for 206,000, but the offer expires at the end of the week. The executive does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with her realtor, the executive believes the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and 230,000. (a) If she leaves the house on the market for another month, what is the mathematical expression for the probability density function of the sales price? Let x = sales price. (b) If she leaves it on the market for another month, what is the probability she will get at least $224,000 for the house? (c) If she leaves it on the market for another month, what is the probability she will get less than $206,000? (d) Should the executive leave the house on the…A business executive, transferred from Chicago to Atlanta, needs to sell her house in Chicago quickly. The executive's employer has offered to buy the house for 212,000, but the offer expires at the end of the week. The executive does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with her realtor, the executive believes the price she will get by leaving the house on the market for another month is uniformly distributed between $200,000 and 230,000. (a) If she leaves the house on the market for another month, what is the mathematical expression for the probability density function of the sales price? Let x = sales price. (b) If she leaves it on the market for another month, what is the probability she will get at least $224,000 for the house? (c) If she leaves it on the market for another month, what is the probability she will get less than $212,000? (d) Should the executive leave the house on the…