describe expected value for probability distribution.

The National Basketball Association (NBA) records a variety of statistics for each team.  describe two of these statistics are the percentage of field goals made by the team plus the percentage of three-point shots made by the team.  For a portion of the 2004 season as well as the shooting records of the 29 teams in the NBA showed the probability of scoring two points by making a field goal was .44 and the probability of scoring three points by making a three point shot was 0.34.

a) describe what is the expected value of a two point shot for these teams?

b) describe what is the expected value of a three point shot for these teams?

describe if the probability of making a two point shot is greater than the probability of making a three point shot why do coaches permit some players to shoot the three point shot if they have the opportunity?  Use expected value to describe your answer