6. Two copies of a contract were mailed to Los Angeles. One was sent Air Mail; the other First Class. From past studies we know that the probability of an Air Mail letter arriving in 2 days is 0.65 and the probability of a First Class letter arriving in 2 days is 0.45. A. Assuming independence, what is the probability that at least one contract will arrive in Los Angeles in 2 days? B. Assuming independence, what is the probability that both copies will arrive in Los Angeles in 2 days? HTML Editor

In a large casino, the house wins on its blackjack tables with a probability of 50.9%. All bets at blackjack are 1 to 1, which means that if you win, you gain the amount you bet, and if you lose, you lose the amount you bet. a. If you bet $1 on each hand, what is the expected value to you of a single game? What is the house edge? b. If you played 150 games of blackjack in an evening, betting $1 on each hand, how much should you expect to win or lose? c. If you played 150 games of blackjack in an evening, betting $3 on each hand, how much should you expect to win or lose? d. If patrons bet $7,000,000 on blackjack in one evening, how much should the casino expect to earn? a. The expected value to you of a single game is $ (Type an integer or a decimal.)

If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 55,000 bushels.  The cost of pesticides is $20,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $10.00 with probability of 0.50 or it will be $12.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $11.00.  If the farmer does not use pesticides and decides to sell the crop at harvest, what is his expected revenue?     a. $550,000.00   b. $660,000.00   c. $600,000.00   d. $605,000.00

A wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For a 1 dollar bet on hitting a 9, if he or she succeeds, the gambler wins 10 dollars plus the return of the 1 dollar bet. What is the expected value of this gambling game? What is the meaning of the expected value result?

Given the following data with 25 % probability Bidder 1 bids 100 and Bidder 2 bids 80. What is the winning bid? Select the correct response 80 45 100 25

‘Lottery A’ refers to a lottery ticket that pays $2,000 with a probability of 0.3, $8,000 with a probability of 0.4, $12,000 with a probability of 0.2, and $18,000 with a probability of 0.1.What is the expected value of Lottery A?A) $7200B) $8000C) $9000D) $7900E) None of the above

Consider the following interaction between a student and a company. The student is either serious or lazy with probabilities 1/3 and 2/3 respectively. The student knows if they are serious or not, but the company does not. Initially, the student decides whether to revise for exams or not. Revising has a cost of 1 for a serious student and 3 for a lazy one. The company observes the student's exam result (that is, whether they have made the effort to revise), and based on this, offers a salary of 3 (for a serious student) or 1 (for a lazy student). The student learns of the proposed salary and can then either accept (and earn the salary) or refuse (and earn O). They also lose the revision effort if they worked. The company's gain is equal to the student's productivity (4 if they are serious, 2 if not) minus the salary if the student accepts the offer, and O otherwise. 1. Represent the game in extensive form. 2. Show that the game has a unique perfect Bayesian Equilibrium, and provide the…