\textbf{Definition} We say a continuous random variable $\mathbb{X}$ is a uniformly distributed in [a, b], denoted $\mathbb{X} \sim uniform(a, b)$ if **Property** If ...

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The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Continuous Variable: can take on any value between two specified values. Obtained by measuring. Discrete Variable: not continuous variable (cannot take on any value between two specified values).