Question

Suppose Team B is better than Team A. The probability that Team B beats Team A...

Suppose Team B is better than Team A. The probability that Team B beats Team A in any given game is .6. (a) Suppose a championship is decided by a one game series (e.g., the Super Bowl). What is the probability that Team B wins the championship in a one game series? (b)What is the probability that Team B wins the championship if the championship were decided by the best of 99 games rather than a one game series?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

he probability that Team B beats Team A in any given game is .6.

a)The probability that Team B wins the championship in a one game series is

b)The number of games X out of 99 team B wins has Binomial distribution with .

The PMF of X is .

Team B wins the championship, if it wins at least 45 out of 100 games.

The required probability is

Use R. The command is
> 1-pbinom(44,99,0.6)
[1] 0.9987451

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The National Basketball Association (NBA) championship is a series of up to 7 games between 2...
The National Basketball Association (NBA) championship is a series of up to 7 games between 2 teams. The first team to win 4 games wins the series. Suppose that the probability that Team A beats Team B in any given game is p > 0.5, independent of the outcome of all other games. Let f(n, p) be the probability that Team A wins the series for a series of n games (n is odd) and a game-win probability p. Explain...
Two teams A and B play a series of games until one team wins four games....
Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and that the probability that A wins any game is p and B wins (1-p). What is the probability that the series ends after... a) 5 games b) 6 games c) 7 games d) n games
Two teams, A and B, are playing a best of 5 game series. (The series is...
Two teams, A and B, are playing a best of 5 game series. (The series is over once one team wins 3 games). The probability of A winning any given game is 0.6. Draw the tree diagram for all possible outcomes of the series.
Suppose that two teams (for fun, let’s call them the Domestic Shorthairs and Cache Cows) play...
Suppose that two teams (for fun, let’s call them the Domestic Shorthairs and Cache Cows) play a series of games to determine a winner. In a best-of-three series, the games end as soon as one team has won two games. In a best-of-five series, the games end as soon as one team has won three games, and so on. Assume that the Domestic Shorthair’s probability of winning any one game is p, where .5 < p < 1. (Notice that...
The World Series in baseball is won by the first team to win 4 games in...
The World Series in baseball is won by the first team to win 4 games in a series of 7. Clearly it cannot go longer than 7 games. Assume the two teams are evenly matched. (a) What is the probability that the team to win the first game wins the series? Explain the reasoning behind your computation in words. (b) Suppose that a team wins the first two games. What is the chance that it wins the series?
The baseball World Series is won by the first team to win four games. Suppose both...
The baseball World Series is won by the first team to win four games. Suppose both teams are equally likely to win each game. What is the probability that the team that wins the first game will win the series?
A team that wins 4 games out of 7 is the winner. Suppose that Team S...
A team that wins 4 games out of 7 is the winner. Suppose that Team S and Team R face each other in the final game and that Team S has probability 0.55 of winning a single game over Team R . Find: The probability that Team S will win the series.
Suppose the probability that a basketball team wins each game in a tournament is 60 percent....
Suppose the probability that a basketball team wins each game in a tournament is 60 percent. This probability is constant with each game , and each win/loss is independent. The team plays in the tournament until it loses. a)Define the random variable and its distribution and find the expected number of games that the team plays. b)Find the probability that the team plays in at least 4 games. c)Find the probability that the team wins the tournament if the tournament...
Markov Chains: In baseball, basketball, tennis, and various other sports, the winner of a tournament is...
Markov Chains: In baseball, basketball, tennis, and various other sports, the winner of a tournament is determined by a best of five or best of seven rule; that is, whichever team can win three or, respectively, four games first is the winner of the series. Such tournaments are presumed to be more fair than a single elimination game in determining the better team, since the outcome of any single game has a large element of chance. Suppose that two teams,...
The probability that Cleveland wins a game over Golden State is 2/5 (0.4) 1 - What...
The probability that Cleveland wins a game over Golden State is 2/5 (0.4) 1 - What is the probability that Golden State won the best of seven series over Cleveland in seven games? 2 - What is the probability that Cleveland won the series over Golden State in 6 games? 3 - What is the probability that Golden State won the series over Cleveland in 5 games? 4 - What is the probability that Cleveland win the NBA championship?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT