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隨機變數 (Random Variable) true 2025-12-28T17:19:30.971Z markdown 2025-12-28T16:41:51.938Z

Discrete

Probability Mass Function (PMF)

A set of probability value pi assigned to each of the values taken by the discrete random variables xi.

and

Probability

Expectation

Cumulative Distribution Function (CDF)

Continuous

Probability Density Function (PDF)

Probabilistic properties of a continuous random variable.

Expectation

Cumulative Distribution Function (CDF)

Symmetric

If there is a point that,

Then,

Is the expectation of this random variable, equal to the point of symmetry.

Median and Quantiles

The middle value of the random variable.
For median, set p to 0.5.

Variance

A positive quantity that measures the spread of the distribution of the random variable about its mean value.
Larger values of the variance indicate that the distribution is more spread out.

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