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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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?

  1. Is this a binomial setting? Explain.




  1. Fill in the table below showing the probability of making X penalty kicks.

 

Goals (X)

0

1

2

3

4

5

Probability

           

 

  1. Find and interpret the mean of the probability distribution. Show your work
    1. Find and interpret the standard deviation of the distribution.





    1. What is the probability that the team scores at least one goal?




    1. If the other team is expected to make 3 goals, what is the probability that the EKHS girls’ team wins?
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