SOLUTION: The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball to another player who will shoot a two-point shot.

Algebra ->  Probability-and-statistics -> SOLUTION: The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball to another player who will shoot a two-point shot.      Log On


   

Question 1081743: The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball to another player who will shoot a two-point shot. The point guard makes three-point shots 30 percent of the time, while his teammate makes the two-point shot 48 percent of the time.
Xi 3 0
P(xi) 0.30 0.70

Xi 2 0
P(xi) 0.48 0.52



What is the expected value for each choice?

Should he pass the ball or take the shot himself? Explain.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The expected value for the PG is 3*0.3=0.9 pts per attempt
For the teammate, it is 2.0*0.48=0.96 pts per attempt.
The expected value favors the teammate, but this assumes all shots are independent, and they aren't, so there is another aspect to the problem that is not statistical.