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Exercise 1. (Law of the Unconscious Statistician) Consider a random variable X with the following pmf 2 1 | 2 | 3 | 4 |
Exercise 1. (Law of the Unconscious Statistician) Consider a random variable X with the following pmf 2 1 | 2 | 3 | 4 | 5 Px() 0.1 0.25 0.1 0.2 0.35 Use the Law of the Unconscious Statistician to answer the following questions. (a) What are the mean and variance of X? (b) What are the mean and variance of 3X – 5? (c) Define g(x) = (x - 1)(x - 2)(x – 3). What is E[g(X)]?
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