A potential issue with the long hit is that the ball might land in the water, which is not a good outcome. Miguel thinks that if the long hit is succesful, his expected value improves to 4.2. However, if the long hit fails and the ball lands in the water. his expected value would be worse and increases to 5.4. c.) Suppose the probability of a successful long hit is 0.4. Which approach, the short hit or the long hit, is better in terms of improving the expected values of the score? Justify your answer.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A potential issue with the long hit is that the ball might land in the water, which is not a good outcome. Miguel thinks that if the long hit is succesful, his expected value improves to 4.2. However, if the long hit fails and the ball lands in the water. his expected value would be worse and increases to 5.4.

c.) Suppose the probability of a successful long hit is 0.4. Which approach, the short hit or the long hit, is better in terms of improving the expected values of the score? Justify your answer.

 

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