Let (X) be a continuous random variable. Confirm or deny the following statements: (1) The probability (P(X=E(X)))

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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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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:00 PM

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Let (X) be a continuous random variable. Confirm or deny the following statements: (1) The probability (P(X=E(X)))

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Applied Probability And Stochastic Processes

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