Penalty Kicks. In the game of soccer, a penalty kick is a direct free kick, taken from 12 yards out from the goal on the penalty mark. According to the article “Penalty Kicks in Soccer: An Empirical Analysis of Shooting Strategies and Goalkeeper’s Preferences” (Soccer & Society, Vol. 10, No. 2, pp. 183–191) by M. Bar-Eli and O. Azar, 85% of penalty kicks placed by professional soccer players are successful. In 15 penalty kicks by professional soccer players, what is the probability that
- a. all are successful?
- b. at least 13 are successful?
- c. Find and interpret the
mean and standard deviation of the number of successful penalty kicks out of 15.
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