Question

In: Statistics and Probability

Suppose that the Dongguk football team plays twelve games in a season. In each game, they...

Suppose that the Dongguk football team plays twelve games in a season. In each game, they have a1/3 probability of winning, a 1/2 probability of losing, and a 1/6 probability of tying. The outcome of each game is independent of all others. [1] What is the probability that the team will end the season with a record of (7 wins, 3 losses, 2 ties)? [2] Suppose that for each win, the team receives three points, and for each tie they receive one point. Let X be a random variable that denotes the number of points the team has earned after four games. Calculate the probability mass function of X

Solutions

Expert Solution


Related Solutions

The English Premier League has 20 teams, throughout the season, each team plays each of the...
The English Premier League has 20 teams, throughout the season, each team plays each of the other teams once at home and once away. (e.g. Everton plays Liverpool at Anfield, which is Liverpool’s home field, and Everton plays Liverpool at Goodison Park, which is Everton’s home field.) Teams are awarded 3 points for a win, 1 point for a draw, and 0 points for a loss (a) How many combinations of wins, losses, and draws are possible for a team...
At the beginning of each football season Team Sports, the local sporting goods store, purchases 5000...
At the beginning of each football season Team Sports, the local sporting goods store, purchases 5000 footballs. A sample of 25 balls is selected, and they are in ated, tested, and then de ated. If more than two balls are found defective, the lot of 5000 is returned to the manufacturer. 1. Develop an OC curve for this sampling plan. Show the table of calculation. 2. For =5% and =10%, what are the approximate values of AQL and LTPD? (give...
In a football game, Team A defeated Team B by a score of 51 to 44....
In a football game, Team A defeated Team B by a score of 51 to 44. The total points scored came from 28 different scoring plays, which were a combination of touchdowns, extra-point kicks, field goals, and safeties, worth 6, 1, 3, and 2 points, respectively. There were four times as many touchdowns as field goals, and the number of extra-point kicks was equal to the number of touchdowns. How many touchdowns, extra-point kicks, field goals, and safeties were scored...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 114 275 2 79 278 3 73 289 4 91 268 5 102 262 6 100 263 7 79 278 8 103 279 sing games won as the explanatory variable xx, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 75 264 2 77 263 3 88 285 4 77 259 5 106 281 6 101 270 7 60 274 8 97 268 Using games won as the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 112 290 2 60 274 3 104 286 4 90 284 5 100 279 6 91 265 7 106 272 8 96 289 Using games won as the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 78 259 2 94 285 3 63 277 4 82 277 5 90 261 6 103 263 7 106 266 8 96 289 Using games won as the explanatory variable x, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 7474 272272 2 7676 283283 3 9898 268268 4 106106 269269 5 7878 266266 6 117117 278278 7 7474 272272 8 108108 270270 Using games won as the explanatory variable xx, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 7272 266266 2 9494 272272 3 113113 283283 4 8888 273273 5 6565 269269 6 9191 274274 7 7474 270270 8 8080 260260 Using games won as the explanatory variable xx, do the following: (a)...
Is the number of games won by a major league baseball team in a season related...
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 102 263 2 82 271 3 105 272 4 61 276 5 109 275 6 80 284 7 118 276 8 61 278 Using games won as the explanatory variable x, do the following: (a)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT