Create a tree diagram for a team after 3 games Each time team wins: probability of winning increases 10% Each time team loses: probability of winning decreases 5% Team start with probability of 70% for winning
Create a tree diagram for a team after 3 games Each time team wins: probability of...
Teams A and Bare in a seven-game playoff series; the team that wins four games is the team that wins the series. Assume that both teams are evenly matched (i.e., the probability of winning each game is 50/50). (1) Team A won the first two games. What is the probability that team B will win the series? (2) continue to assume that Team A has already won two games, but the teams are not evenly matched. Assume that B is...
the NBA final is a seven game series, and the team that wins
four games
Chap. 2 Review of Probability 2.70 The NBA final is a seven-game series, and the team that wins four games first wins the series. Denote by p the probability that the Eastern Conference team wins a game and by q = 1- p the probability that the Western Conference team wins a game. Assume that these probabilities remain constant from game to game and that...
In a World Series, teams A and B play until one team wins four games. Suppose all games are independent, and that on each game, the probability that team A beats team B is 2/3. a. What is the probability that team A wins the series in four games? b. What is the probability that team A wins the series, given team B won games 1 and 2?
Question 2 (26 points) In an NBA (National Basketball Association) series, the team that wins four games out of seven is the winner and it will win the big prize. Suppose that teams A and B face each other in the games and that team A has probability 0.4 of winning a game over team B. a) (13 points) Compute the probability that team A wins the big prize at (just after) the 6"game. b) (13 points) Compute the probability...
Next weekend Team A plays a 5 game series against their nemesis Team D. Team A has a 65% chance of winning each game, independent of others. Let X denote the number of games that Team A wins in a 5 game series. 6 Use the PDF of X to find the expectation 4 = EX and variance Var(X). 7 Then use a formula from Ch 4.6 to quickly find these. 8 On average, how many games need to be...
team has wes twice. In each gse the poaility Red wins is 00 nep wins is 0.40 (there ere no drews) Let R be theb of games thst Red wisn of gamee thst Blue wins he series ends as wins, and B be the numbes (a) Work out the joint probability mas dive yue eala table, and confiem that your PMF is nomslized (b) Calculate the conditional PMF of R, given that the Blue team wins the series. (c) Calculate...
3. In a National Football League (NFL) regular season, each team plays 16 games. Let " wins" be the number of regular season wins by a team in a particular season (taking a tie as half a win.) Since on average teams win half their games, the distribution of team wins has mean 8. Assume the distribution of team wins stays about the same from year to year. There is a positive correlation between a team's wins one year and...
Frank Smith plays softball after work on his company's team. However, Frank only plays in 60% of the games. In addition, the team wins 20% of the time when Frank plays and 60% of the time when Frank is absent. What is the probability of the team not winning a particular game? a) 0.60 b) 0.36 c) 0.80 d) 0.12 e) 0.64
In sports betting, sports books establish winning margins for a team that is favored to win a game. team bet upon wins after accounting for this spread. For example, if Team A is favored by 5 points, bet. However, if Team A wins the game by only 3 points, then a bet on Team Ais a losing bet. Supp relative to the spread is approximately normally distributed with a mean of -1.0 point and a standa (a) What is the...
o In sports betting sports books establish winning margins for a team that is favored to win a game An individual can place a wager on the game and we ham bat upon wins after accounting for this speed. For example, il Team Abs favored by 5 points and wire the game by 7 points, then a betan Tambang ber However, il Team A wins the game by only 3 points then a beton Team is akosing bot Suppose that...