A collegiate video-game competition team has a 0.55 probability of winning a match. Over the course of a season, 12 matches are played. Individual matches are independent of any other matches. Calculate the probability that the team will win exactly 6 matches over the course of one season.
A collegiate video-game competition team has a 0.55 probability of winning a match. Over the course...
Assume that a baseball team has an average pitcher, that is, one whose probability of winning any decision is 0.5. If this pitcher has 50 decisions this season, what is the probability that he will win at least 30 games (use a normal curve to calculate this probability). Question 10 options: .0786 .0835 .0436 .1244
An instant lottery game gives you probability 0.10 of winning on any one play. Plays are independent of each other. You play 4 times. a) If X is the number of times you win, contract the probability distribution of X. b) What is the probability that you don't win at all? c) What is the probability that you win at least once? d) What is the expected value of X? What is the standard deviation of X?
1) a) Determine the probability distribution of the following base The Houston Astros and the Washington Nationals are getting ready to play a 3-game series. The probability Nationals win any individual game against the Astros is 40%. The outcome of every game in the series must end in the Nationals winning or losing there is no tying in baseball!), and every game outcome is independent of every other game outcome. Fill out the following probability distribution table for X, when...
Suppose you were a very wealthy individual who was interested in buying a soccer team. You were considering purchasing a team that tended to win 42% of their games, to lose 52% of their games, and to tie in 6% of their games. 1. In any one game, what is the probability that the team will either win or tie. 2. Suppose you go to see this team play in a five-game series, assume that success in each game is...
PROBABILITY QUESTION William Gates is about to play a three-game chess match with Steve Jobs, and wants to nd the strategy that maximizes his winning chances. Each game ends with either a win by one of the players, or a draw. If the score is tied at the end of the two games, the match goes into sudden-death mode, and the players continue to play until the rst time one of them wins a game (and the match). William has...
PROBABILITY QUESTION William Gates is about to play a three-game chess match with Steve Jobs, and wants to nd the strategy that maximizes his winning chances. Each game ends with either a win by one of the players, or a draw. If the score is tied at the end of the two games, the match goes into sudden-death mode, and the players continue to play until the rst time one of them wins a game (and the match). William has...
4. Four teams Antwerp, Brindisi, Cadiz and Dortmund are left in the championship One (and only one) of the teams can win the trophy. Antwerp is twice as likely to win as Brindisi, Brindisi is three times as likely to win as Cadiz and Cadiz is twice as likely to win as Dortmund. What are the teams respective probabilities of winning? What is the probability that neither Brindisi nor Cadiz wins? 5. In a game of tennis, Maria needs to...
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There is a new lottery game where twelve numbers are chosen from the set of numbers from 1 to 24, with no repeats. One of the ways to win is to match ZERO numbers, the other way to win is to match ALL the numbers. Order does not matter. 7. Calculate the probability of getting all the numbers correct. Show the setup of the numbers, in case calculations go silly and also to show that you didn't just Google...
7. A carnival game costs $6 to play. The probability of winning is 0.25 and the prize is $30. Let x be the gain or loss of the player each time the game is played. Find the expected value or mean value of x. 8. Find the standard deviation of the following discrete probability distribution. A=0.1 x P(x) 0 A 1 0.4 2 1-A 9. A bag contains 1 green marble and 3 red marbles. 3 times a marble is...