3. 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. X; 3 0 P(x;) 0.30 0.70 X; 2 0 P(x;) 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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3. 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.
X;
3
0
P(x;)
0.30
0.70
X;
2
0
P(x;)
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.
Transcribed Image Text:3. 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. X; 3 0 P(x;) 0.30 0.70 X; 2 0 P(x;) 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.
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