Question: Let (X) be a continuous random variable. Confirm or deny the following statements: (1) The probability (P(X=E(X))) is always positive. (2) There is always (operatorname{Var}(X)

Let \(X\) be a continuous random variable. Confirm or deny the following statements:

(1) The probability \(P(X=E(X))\) is always positive.

(2) There is always \(\operatorname{Var}(X) \leq 1\).

(3) \(\operatorname{Var}(X)\) can be negative if \(X\) can assume negative values.

(4) \(E(X)\) is never negative.

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