QUESTION 26A deck of 52 playing cards consists of 4suites: clubs, spades, hearts, and diamonds.Each suite consists of 13 cards. Draw onefrom a deck of cards. Let A=a card "2" isdrawn, B=a "diamond" card is drawn. Whichis the value of P(A and B), i.e., {probabilitythat the card drawn is "diamond" and "2"} ?1/524/5213/5216/52

Given: A = a card "2" is drawn Total number of 2=4 Total 4 suites are there in 52 card decks. To…

Answered: A deck of 52 playing cards consists of…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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19
A buyer wants to purchase a house from a seller. Let v be the quality of this house. The quality v is known to the seller but unobservable to the buyer. The buyer thinks the chance that v=$1k is 20%, v=$10k is 40%, and v=$50k is 40%. The seller’s valuation of the house is v and the buyer’s valuation of the house is 2v a) Suppose both the buyer and the seller see the value of v . Also suppose the transaction price equals the value of v (i.e. if =10k, then the buyer pays 10k for the house). Calculate the buyer’s expected profit before seeing the value of b) Suppose only the seller sees v. Also suppose the buyer is allowed to make any offer to the seller and the seller accepts it if the offered price is above or equals to v. What is the buyer’s profit maximizing offer? What is the buyer’s maximum profit? c) Base on your answers from (a) and (b), what is the value of information (i.e. the benefits of seeing the value of ) to the buyer?
4. Consider the situation in which player 1 knows what game is played (the first or the second). But player 2 only knows that the first game is played with probability 1/3 and the second game is played with probability 2/3. Player 1 Player 1 Player 2 S B S 1,1 0,0 B 0,0 0,0 Player 2 S B S 0,0 0,0 B 0,0 2,2 (a) Describe the game as a Bayesian game. (b) Find the Bayesian Nash equilibria.
PLEASE HOW TO THINK ABOUT IT AND SOLVE
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2 Prove rigourously, "Constant relative risk aversion (CRRA) implies decreasing absolute risk aversion (DARA), but the converse is not necessarily true."
Checking my answers.
You have a house worth 300,000. A fire will burn everything to the ground and leave $0 in value. Assume full coverage in the case of a fıre. In every given year, there is a 5% probability that your home burns. If your Utility function is U=Wealth1/2 what is your expected utility without insurance? O 512 O 520.33 O 212 O $250,000
[Adverse Selection] Each of the two players receives an envelope, in which there is anamount of money that is equally distributed from $0, $1, $2, ..., $100. The amounts in twoenvelopes are independent. After receiving the envelope, each individual can check exactlyhow much money is put in his/her own envelope. Then each player has the option to exchangehis/her envelope for the other individual's prize. The decisions are made simultaneously. Ifboth individuals agree to exchange, then the envelopes are exchanged; otherwise, if at leastone player chooses not to exchange, each individual keeps his/her own envelope and receivesits attached sum of money.a. Model this game as a static Bayesian game (write the normal formrepresentation) and find the Bayesian Nash equilibrium.b. Consider a new game where the probability distribution of money in eachenvelope is changed. The amount is equal to $100 with probability 90%, and is equalto each number in $0, $1, $2, ... ,$99 with probability 0.1%.…
Q5
. If you examine the decision tree in Figure 9.12 (orany other decision trees from PrecisionTree), you willsee two numbers (in blue font) to the right of each endnode. The bottom number is the combined monetaryvalue from following the corresponding path throughthe tree. The top number is the probability that thispath will be followed, given that the best strategy isused. With this in mind, explain (1) how the positiveprobabilities following the end nodes are calculated,(2) why some of the probabilities following the endnodes are 0, and (3) why the sum of the probabilitiesfollowing the end nodes is necessarily 1.
(Ch 7) Suppose a standard normal random variable has an 80 percent chance falling in an interval (–z, z). The value of z is approximately ____ (use Appendix C-1). a. 1.45 b. 1.35 c. 1.96 d. 1.28

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