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(1 point) Suppose an NBA basketball player shooting an uncontested 3-point shot will make the basket with probability 0.45. However, if you foul the

(1 point) Suppose an NBA basketball player shooting an uncontested 3-point shot will make the basket with probability 0.45. However, if you foul the shooter, the shot will be missed, but 3 free throws will be awarded. (Each free throw is worth one point.) Assume that each free throw is an independent Bernoulli trial with success probability p. Based on the expected number of points the shooter will score, you should foul the shooter when: pis ?

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