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1 year ago

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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.

1 answer:

melamori03 [73]1 year ago

5 0

the expected value for the 3 point shot = (3 * 0.30) + (0 * 0.70) = 0.90

the expected value for the 2 point shot = (2 * 0.48) + (0 * 0.52) = 0.96

the expected value for the 2 point shot is higher than the 3 point shot so he should pass the ball

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