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5. 10 points. A random variable X is the output of an engineering process and X is uniformly distributed. The pdf of X is equal

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5. 10 points. A random variable X is the output of an engineering process and X is uniformly distributed. The pdf of X is equal to 1 for any positive x smaller than or equal to 1, and it is 0 otherwise. If you take a random sample of 10 observations, what is the approximate probability distribution of: X -10? (You need to find the mean and variance of this quantity, and state your assumptions)

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