The kicker in a football game scores 3 points for a made field goal. A kicker hits 60% of the attempts taken in a game.
(a) What assumptions are needed in order to model the number of made kicks in a game as a binomial random variable?
(b) If the kicker tries five attempts during a game, how many points would you expect him to contribute to the team’s score on field goals?
(c) What is the standard deviation of the number of points scored by the kicker?
(d) Why would the SD of the number of points be useful to the coach?