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. Throughout the season, the coach has collected data and discovered that the S JV players make 60%% of their penalty kicks. Let X = the number of successful penalty kicks. 1. Explain why X is a binomial random variable. Probability Applet I wu 2. Fill in the table below showing the probability of making X penalty kicks Goals (X) 13 Probability 3. Find the mean of X. Interpret this value in context. 1 4. Find the standard deviation of X. Interpret this value in context 5. What is the probability that the team scores at least one goal? 6. If the other team is expected to make 3 goals, what is the probability that the SJVHS girls team wins