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2. A coin is tossed and a die is rolled. The outcome of the coin is recorded 1 when it shows a head and a

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2. A coin is tossed and a die is rolled. The outcome of the coin is recorded \"1\" when it shows a head and a \"'0\" when it shows a tail. The random variable R gives the sum of the outcomes of the coin and the die. a What is the range space? (2 points} b. Construct the probability distribution. (5 points) c. What is the expected value of the variable? (2 points) (I. In what real life situations can you apply the expected value of a probability dislribution? (3 points)

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