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.Com
Question 1071158: 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
a. What is the expected value for each choice?
b. Should he pass the ball or take the shot himself? Explain.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
E(x) = 0.3*3 + 0.7*0 = 0.9
---------------------------
Xi 2 0
P(xi) 0.48 0.52
E(x) = 0.48*2 + 0.52*0 = 0.96
----------------------------
a. What is the expected value for each choice?
done
b. Should he pass the ball or take the shot himself? Explain.
Pass the ball ; Expected value is higher.
------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
The point guard of a basketball team has to make a decision about whether or not to... (answered by Boreal)
cody plays on the basketball team. up to this point in the season cody has made 19 out of (answered by Boreal)
When eight basketball players are about to have a free-throw competition, they often... (answered by ikleyn)
A basketball team is down by 2 points with only a few seconds remaining in the game.... (answered by Boreal)
carl's basketball shooting record indicates that for any frame, the probability in a 2... (answered by ikleyn)
Lauren is the point guard on her basketball team. She estimates that her chances of... (answered by Theo)
I didn't know where else to go so here I am.
This week's subject is functions, such as... (answered by stanbon,Alan3354)
A family is trying to decide whether or not to buy a season beach... (answered by richwmiller)
In a basketball game, a team can score either 1, 2 or 3 points by throwing the ball... (answered by vleith)