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Suppose that X₁, X2,..., X100 is a random sample of size 100 from a distribution with density function f above. Let X be the mean of this random sample, i.e., X = (X₁ + X2 + ... + X100). Calculate E(X). 2 Calculate Var(X). Calculate P(X ≤ 1/2). 1 3 Suppose that X₁, X2,..., X100 is a random sample of size 100 from a distribution with density function f above. Let X be the mean of this random sample, i.e., X = (X₁ + X2 + ... + X100). Calculate E(X). 2 Calculate Var(X). Calculate P(X ≤ 1/2). 1 3

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