David Akers is the field goal kicker for the Philadelphia Eagles of the National Football League. During the 2010 season, he attempted 38 field goals and made 32 of the attempts. A summary of his field goal outcomes by distance is shown on the next page.
Distance (yards) Made Missed Total
20 up to 30...............12..................0...............12
30 up to 40...............10..................2...............12
40 up to 50................9..................2...............11
50 or more.................1..................2.................3
Total......................32..................6...............38
a. What is the name given to this table?
b. Overall, what is the probability of a successful field goal attempt?
c. Is the distance of the attempt independent of success?
d. If we were to study the attempts of the 2010 season, what is the likelihood of selecting an attempt that was between 30 and 40 yards or an attempt that was successful?
e. What is the likelihood of selecting an attempt for study that was successful and over 50 yards?