Question

In: Math

​Suppose Emerson wins 37% of all bingo games

Suppose Emerson wins 37% of all bingo games 

(a) What is the probability that Emerson wins two bingo games in a row? 

(b) What is the probability that Emerson wins three bingo games in a row?

(c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson wins three bingo games in a row, but does not win four in a row. 

(a) The probability that Emerson wins two bingo games in a row is _______ 

Solutions

Expert Solution

a)P(wins two bingo in a row)=0.37*0.37=0.1369

b)P(wins three bingo in a row)=0.37*0.37*0.37=0.050653

c) P(not wins four in a row but not wins four in a row =0.37*0.37*0.37*(1-0.37)=0.031911

milcah answered 2 years ago
Next > < Previous

Related Solutions

Suppose Emerson loses 30% of all staring contests. (a) What is the probability that Emerson loses...
Suppose Emerson loses 30% of all staring contests. (a) What is the probability that Emerson loses two staring contests in a row? (b) What is the probability that Emerson loses three staring contests in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson loses three staring contests in a row, but does not lose four in a row.
Suppose the management claims that the proportion of games that your team wins when scoring 80...
Suppose the management claims that the proportion of games that your team wins when scoring 80 or more points is 0.50. You tested this claim using a 5% level of significance. Explain the steps you took to test this problem and interpret your results. See Step 5 in the Python script to address the following items: In general, how is hypothesis testing used to test claims about a population proportion? Summarize all important steps of the hypothesis test. This includes:...
A local euchre champion wins 78% of the games she plays. She plays 16 games in...
A local euchre champion wins 78% of the games she plays. She plays 16 games in a tournament. A. What is the probability she wins 12 or more games? B. What is the probability she wins fewer than 8 games? C. What is the probability she wins exactly 10 games?
A particular baseball team wins 68% of its games. Next week it will play 6 games....
A particular baseball team wins 68% of its games. Next week it will play 6 games. (a) What is the team’s expected number of wins during that week? (Round your answer to 2 decimal places.) (b) What is the probability that the team will win at least 5 games next week?
In the World Series the first team to win four games wins the championship. If the...
In the World Series the first team to win four games wins the championship. If the two teams are evenly matched, then the probabilities that the series will be decided after 4, 5, 6, or 7 games are given below. a) What is the expected number of games that will be required to decide the championship? b) Calculate the probabilities. Explain your logic and show all work. Number of games: 4, 5, 6, 7 Probability: 1/8, 1/4, 5/16, 5/16
A gambler plays a sequence of games that she either wins or loses. The outcomes of...
A gambler plays a sequence of games that she either wins or loses. The outcomes of the games are independent, and the probability that the gambler wins is 2/3. The gambler stops playing as soon as she either has won a total of 2 games or has lost a total of 3 games. Let T be the number of games played by the gambler. Find the probability mass function of T. Find the mean of T. Find the standard deviation...
The following data represents the winning percentage (the number of wins out of 162 games in...
The following data represents the winning percentage (the number of wins out of 162 games in a season) as well as the teams Earned Run Average, or ERA. The ERA is a pitching statistic. The lower the ERA, the less runs an opponent will score per game. Smaller ERA's reflect (i) a good pitching staff and (ii) a good team defense. You are to investigate the relationship between a team's winning percentage - Y, and its Earned Run Average (ERA)...
The following data represents the winning percentage (the number of wins out of 162 games in...
The following data represents the winning percentage (the number of wins out of 162 games in a season) as well as the teams Earned Run Average, or ERA. The ERA is a pitching statistic. The lower the ERA, the less runs an opponent will score per game. Smaller ERA's reflect (i) a good pitching staff and (ii) a good team defense. You are to investigate the relationship between a team's winning percentage - YY, and its Earned Run Average (ERA)...
A plays B in a tournament. The one who wins three games first gets the tournament...
A plays B in a tournament. The one who wins three games first gets the tournament trophy. In each game, A's chance of winning is 0.75. Both A and B perform independently from game to game and there is no draw for any game. a) Use a negative binomial distribution to calculate the probability that A gets the tournament trophy b) Use a binomial distribution to calculate the probability that A gets the tournament trophy.
Two team (A and B) play a series of baseball games. The team who wins three...
Two team (A and B) play a series of baseball games. The team who wins three games of five-game-series wins the series. Consider A has home-field advantage (0.7 means A has probability of winning 0.7 if it plays in its field) and opponent-field disadvantage (0.2 means A has probability of winning 0.2 if it plays in opponents field). If the series start on A team’s field and played alternately between A and B team’s fields, find the probability that series...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT