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Q2. Suppose a class has 75 students, with 25 men and 50 women. All the students have been randomly assigned into 25 study groups of

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Q2. Suppose a class has 75 students, with 25 men and 50 women. All the students have been randomly assigned into 25 study groups of three students each. (1) Consider the number of groups that have three women, W. Find E[W] and Var[W]. (2) Use Chebyshev to find an upper bound for P{W 2 10}. (3) Use the Central Limit Theorem to approximate P(W 2 10}

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