When the time runs out in a soccer game and the score is tied, the game will go to a shootout. Each team gets to choose 5 players to kick penalty kicks. Whichever team makes the most penalty kicks wins. If the EKHS girls’ soccer team makes 60% of their penalty kicks, what are the chances they will win the game? Is this a binomial setting? Explain. Fill in the table below showing the probability of making X penalty kicks. Goals (X) 0 1 2 3 4 5 Probability Find and interpret the mean of the probability distribution. Show your work Find and interpret the standard deviation of the distribution. What is the probability that the team scores at least one goal? If the other team is expected to make 3 goals, what is the probability that the EKHS girls’ team wins?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
When the time runs out in a soccer game and the score is tied, the game will go to a shootout. Each team gets to choose 5 players to kick penalty kicks. Whichever team makes the most penalty kicks wins. If the EKHS girls’ soccer team makes 60% of their penalty kicks, what are the chances they will win the game?
- Is this a binomial setting? Explain.
- Fill in the table below showing the
probability of making X penalty kicks.
|
Goals (X) |
0 |
1 |
2 |
3 |
4 |
5 |
|
Probability |
- Find and interpret the mean of the probability distribution. Show your work
-
- Find and interpret the standard deviation of the distribution.
- What is the probability that the team scores at least one goal?
- If the other team is expected to make 3 goals, what is the probability that the EKHS girls’ team wins?
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