21. Penalty Kicks. In the game of soccer, a penalty kick is a di- rect free kick, taken from 12 yards out from the goal on the penalty mark. According to the article "Penalty Kicks in Soccer: An Empir- ical 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 play- ers 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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21. Penalty Kicks. In the game of soccer, a penalty kick is a di-
rect free kick, taken from 12 yards out from the goal on the penalty
mark. According to the article “Penalty Kicks in Soccer: An Empir-
ical 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 play-
ers 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.
Transcribed Image Text:21. Penalty Kicks. In the game of soccer, a penalty kick is a di- rect free kick, taken from 12 yards out from the goal on the penalty mark. According to the article “Penalty Kicks in Soccer: An Empir- ical 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 play- ers 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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