Question: Penalty kicks to the left in professional soccer. Bar-eli, Azar, Ritov, Keidar-Levin, and Schein (2007) analyzed 286 penalty kicks among professional soccer players. They recorded the direction that the ball was kicked (left, center, right) and the direction that the goalie went to block the kick (left, center, right). The following table shows the results of their study employee coming to work on time on any other day is p = .84. If the business has 200 employees, (a) how many employees should we expect to come to work on time on casual days, and (b) how many should we expect to come to work on time on any other day?
Based on this table, (a) what is the probability that the ball was kicked to the left?
(b) What is the probability that the ball was kicked left and the goalie jumped left?
(c) What is the probability that the goalie jumped to the left, given that the ball was kicked to the left? Note: This is now a conditional probability statement.