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Answer it. G. Solve what are asked. When two fair dice are thrown simultaneously, the following are the possible outcomes. [1,1] (112] [1, 3] [1,

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G. Solve what are asked. When two fair dice are thrown simultaneously, the following are the possible outcomes. [1,1] (112] [1, 3] [1, 4] (1,5,1 [1,15] [2, 1] l2, 2] [2, 3] [2, 4] l2, 5] [2,15] [3, 1] l3, 2] [3, 3] [3, 4] l3, 5] [3,15] [4, 1] l4, 2] [4, 3] [4, 4] l4, 5] [4,15] [5, 1] l5, 2] [5, 3] [5, 4] l5, 5] [5,15] [5, 1] l5, 2] [5, 3] [5, 4] l, 5] [5,15] 1. Given the random variable X = the sum of the two outcomes in throwing the two fair dice simttaneously. Give all the possible values. (ID pts] 2. Give the probabilities of each of the possible values. (ID pts] 3. Construct the discrete probability distribution and its corresponding histogram. [10 pts] 4. Solve the mean, variance and standard deviation of the given distribution. [15 points]

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