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Answer the question below with steps. 2. (6 pt) Let Y1, Y2, ..., Y10 be a random sample of size 10 from a normal population

Answer the question below with steps.

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2. (6 pt) Let Y1, Y2, ..., Y10 be a random sample of size 10 from a normal population with a mean of 0 and a standard deviation of 1. Let Y and S be the sample mean and sample variance, respectively. Let Y11 be another independent observation from the same population. a. (2) What is the distribution of U= >(Y; - y ) ? b. (4) What is the distribution of V = 3 Yu? Why

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