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(1) Solve the following problems about sampling Without replacement. (a) [3pts] There are two random variable X ~ Binom(12, 0.9) and Y ~ HyperGeom(100, 90;

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(1) Solve the following problems about sampling Without replacement. (a) [3pts] There are two random variable X ~ Binom(12, 0.9) and Y ~ HyperGeom(100, 90; 12). (i) What is Var(X)? (ii) What is Var(Y)? (iii) You may check Var(X) > Var(Y) and 0.9 = % What can you learn from this result, regarding Var (Binom(n, 32)) and Var (HyperGeom(N, G; n)) with p = % and n. > 1

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