Question

In: Statistics and Probability

We are interested in analyzing data related to football players for one season. Use T to...

  1. We are interested in analyzing data related to football players for one season. Use T to denote the player is in their 30s and use F to denote a player plays offense. The probability that someone in their 30s in the data set is 10.2%. The probability that someone plays offense in the data set is 48.6%. The probability that someone is in their 30s and plays offense if 4.9%.
    1. What percentage of people in the NFL are in their 30s or play offense?
    2. What percentage of people in the NFL are in their 30s and do NOT play offense?
    3. Given someone is in their 30s, what is the probability that they play offense?
    4. What percentage of players are NOT in their 30s and are NOT on offense?
    5. Are T and F mutually exclusive events? Why or why not?
    6. Are T and F independent events? Explain, using probabilities.
    7. If we know someone plays offense, what is the probability they are in their 30s?

Solutions

Expert Solution


Related Solutions

Suppose we are interested in analyzing the weights of NFL players. We know that on average,...
Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a population standard deviation of 47 pounds. Suppose we take a sample of 30 new players and we find that the average weight from that sample is 237 pounds. We are interested in seeing if the weight of NFL players is decreasing. Show work. What is the standard error? What is the margin of error at 90% confidence?...
Suppose we are interested in analyzing the weights of NFL players. We know that on average,...
Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a population standard deviation of 47 pounds. Suppose we take a sample of 30 new players and we find that the average weight from that sample is 237 pounds. We are interested in seeing if the weight of NFL players is decreasing. What is the standard error? What is the margin of error at 90% confidence? Using my...
We will use the prompt below for this and the next 4 questions. In analyzing data...
We will use the prompt below for this and the next 4 questions. In analyzing data from over 700 games in the National Football League, economist David Romer identified 1068 fourth-down situations in which, based on his analysis, the right call would have been to go for it and not to punt. Nonetheless, in 959 of those situations, the teams punted. Our goal is to find a 99% confidence interval for the proportion of times NFL teams punt on a...
A college football coach was interested in whether the college’s strength development class increased his players’...
A college football coach was interested in whether the college’s strength development class increased his players’ maximum lift (in pounds) on the bench press exercise.  He asked four of his players to participate in the study.  The amount of weight they could each lift was recorded before they took the strength development class.  After completing the class, the amount of weight they could each lift was again measured.  The data are as follows.   Weight (in pounds) Player 1 Player 2 Player 3 Player 4...
The following data represent weights (pounds) of a random sample of professional football players on the...
The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = weights of players for the Dallas Cowboys X2 = weights of players for the Green Bay Packers X3 = weights of players for the Denver Broncos X4 = weights of players for the Miami Dolphins X5 = weights of players for the San Francisco Forty Niners You join a Fantasy Football league and you are wondering if weight is a...
The following data represent weights (pounds) of a random sample of professional football players on the...
The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = weights of players for the Dallas Cowboys X2 = weights of players for the Green Bay Packers X3 = weights of players for the Denver Broncos X4 = weights of players for the Miami Dolphins X5 = weights of players for the San Francisco Forty Niners You join a Fantasy Football league and you are wondering if weight is a...
Data from the National Football League (NFL) from a recent season reported the number of yards...
Data from the National Football League (NFL) from a recent season reported the number of yards gained by each of the league's wide receivers. The data in this Excel file nfl_receiver_yds_webassign shows the yards gained by each wide receiver in the NFL who gained 50 or more yards during the season. The number of yards gained is right-skewed and therefore a normal model is NOT a good model for the data. However, the square root of the number of yards...
You are analyzing GSS data, and you are interested in whether or not respondents with diabetes...
You are analyzing GSS data, and you are interested in whether or not respondents with diabetes have a different number of days of poor mental health than respondents who do not have diabetes. Information about the variables: Name: Days of poor mental health past 30 days Questions associated with this variable: B. Now thinking about your mental health, which includes stress, depression, and problems with emotions, for how many days during the past 30 days was your mental health not...
1) Two football players collide while running on a field. One player is big and slow,...
1) Two football players collide while running on a field. One player is big and slow, the other player is small and fast. They bounce off each other. What can be said about the magnitude of the change in their momentum from this collision? A)There is not enough information to say. B) They have the same change in the magnitude of their momentum. C)The larger player has the greater change in the magnitude of their momentum. D)The smaller player has...
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested.
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $9,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,500 and $15,500.a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?b. Suppose you bid $14,000. What is the probability that your bid will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT