The National Basketball Association (NBA) records a variety of statistics for each team. Two of these statistics
Question:
The National Basketball Association (NBA) records a variety of statistics for each team.
Two of these statistics are the percentage of field goals made by the team and the percentage of three-point shots made by the team. For a portion of the 2004 season, 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 .34 (NBA website, January 3, 2004).
a. What is the expected value of a two-point shot for these teams?
b. What is the expected value of a three-point shot for these teams?
c. If the probability of making a two-point shot is greater than the probability of making a three-point shot, why do coaches allow some players to shoot the three-point shot if they have the opportunity? Use expected value to explain your answer.
Step by Step Answer:
Statistics For Business And Economics
ISBN: 9780324783247
11th Edition
Authors: Thomas A. Williams, Dennis J. Sweeney, David R. Anderson