If a pup is worth a pooch and a mutt, and a pup and a pooch are worth one bird dog, and two bird dogs are worth three mutts, how many pooches is a pup worth?

Sam is a competitive swimmer that competes in the 100 m freestyle and 100 m backstroke.  High school swimming state averages are as follows: Freestyle:  mean time 72.39 seconds, standard deviation 3.7 seconds Backstroke:  mean time 81.09 seconds, standard deviation 4.1 seconds   If Sam's times were 71.1 seconds in freestyle and 80.1 seconds in backstroke, select the correct words to describe how his times compare to each other. Since the z-score in freestyle is       ["", ""]  than the z-score in backstroke, his time in freestyle is       ["", ""]  when compared to the rest of the swimmers in that event.

Bruno gives his son P100 on one day, P50 on the second day, P25 on third day and so on. What will be total amount given by Ram to his son starting from the first day, if he lives forever?

Consider the following game (anachronistically) called the battle of the sexes. Two brothers, Shahid and Jamil are spending their weekend in Philadelphia, but they have lost communication with each other and Shahid is coming from New York where Jamil is coming from Washington DC. They are trying to find out where they should meet when they arrive in Philadelphia: they want to meet up, and both know that Shahid prefers meeting at Reading Terminal Market (he's a foodie!) and Jamil prefers meeting at the Rocky Steps (he's a movie buff!). Not meeting up though would be the worst outcome as it's the city of brotherly love. Suppose the game is represented by the following payoff matrix with Jamil the row player: Rocky Steps Reading Terminal Market Rocky Steps 2,1 0,0 Reading Terminal Market 0,0 1,2 What is the expected value for each player in the mixed strategy Nash equilibria? 4/3 1.5 2 1 1/3

There is a single pile of n chips. Two players take turns by removing from the pile at least one and at most m chips: the number of chips taken may vary from one move to another, but both the lower and upper limits stay the same. The winner is the last player who takes the last chip. „Which algorithm design strategy is used in this game? Decrease-by-a-constant factor algorithm Divide-and-Conquer Variable-size-decrease algorithm Decrease-by-a-constant algorithm

Each day, there are two strategies available to two bakers, Tim and Horton: sell cakes or sell pastries. They cannot do both in any one day. If both sell cakes, Tim will earn an additional $500 and Horton will lose $500. If Tim sells cakes and Horton sells pastries, Tim gains $100 and Horton loses $100. If Horton sells cakes and Tim sells pastries, Tim loses $400 and Horton gains $400. If both sell pastries, Tim gains $400 and Horton loses $400. What will be the outcome if both bakers correctly use game theory?   a.None of these outcomes is correct b.Tim will gain $250, on average, each day c.Tim will gain $300, on average, each day d.Tim will gain $100, on average, each day e.Tim will gain $200, on average, each day

upper lim. Problem 13, A Quiz game has 2 questions. The problem is: which question to attempt first. If the first question is answered correctly then the second question can be attempted. If the first answer is wrong, the game stops. Question 1 will be answered correctly with probability 0.8 with a prize of $100. Question 2 will be answered correctly with probability 0.5 with a prize of $200. Let Y = the amount of money won if Question 1 is attempted first Let Z= the amount of money won if Question 2 is attempted first a) Write the probability distribution of Y b) Find E[Y] c) Write the probability distribution of Z d) Find E[Z] e) Which is greater, E[Y] or E[Z]? Bonus f) Assume we choose the first question at random. If the probability of picking Question 1 is 0.4, find E[X], where X Total amount of money won in the game. %3D

Question 2: Three players (A, B and C) play the Card Game. Each player has two cards. The three players have the following card values: Player (A): 5 and 7 Player (B): 4 and 2 Player (C): 8 and 1 Player A starts by putting one card then Player B puts one card then player C puts one card and the game is over. The score of player A (utility value for A) is computed by the following formula: Score(A) = card value(A) - card value(B) - card value(C). The score of player B (utility value for B) is computed by the following formula: Score(B) = card value(B) - card value(A) - card value(C). The score of player C (utility value for C) is computed by the following formula: Score(C) card value(C) - card value(A) - card value(B). a) Construct the corresponding Game Tree. Then find the utility values of all nodes. b) Which player will win the game? c) Show how can the losers make the winner lose the game. What do you note?