Cheryl plays on the school basketball team. When shooting free throws, she makes 75% of

Chapter 10, Problem 7

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Cheryl plays on the school basketball team. When shooting free throws, she makes 75% of her first shots, and 80% of her second shots provided she makes the first one. However, if she misses the first shot, she makes only half of her second shots. Each free throw is worth one point. a. Draw a tree diagram of a two-shot attempt. What is the probability that she will make both shots? b. What is the expected number of points that Cheryl will make in a two-shot free throw attempt? c. If Cheryl has five chances to shoot two free throws in a game, how many points can she expect to make?

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