diff --git a/education/statistics/random-variable.html b/education/statistics/random-variable.html index 576aca0..807c3a2 100644 --- a/education/statistics/random-variable.html +++ b/education/statistics/random-variable.html @@ -2,79 +2,106 @@ title: 隨機變數 (Random Variable) description: published: true -date: 2025-12-28T19:33:09.392Z +date: 2025-12-28T19:36:36.326Z tags: editor: ckeditor dateCreated: 2025-12-28T16:41:51.938Z --> -
If there is a point that,
+If there is a point that,
Then,
+Then,
Is the expectation of this random variable, equal to the point of symmetry.
+Is the expectation of this random variable, equal to the point of symmetry.
-
The middle value of the random variable.
For median, set p to 0.5.
The middle value of the random variable.
For median, set p to 0.5.
-
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.
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.
-
A set of probability value pi assigned to each of the values taken by the discrete random variables xi.
++
| + | Discrete | +Continuous | +
| Jointly Distributed | +
+ satisfying + |
+ + |
| Joint Cumulative | +
+ |
+ + |
| Marginal Probability Distributions | +
+ |
+ + |
| + | + | + |
A set of probability value pi assigned to each of the values taken by the discrete random variables xi.
Probability
Probability
Expectation
Expectation
-
A set of probability value pi assigned to each of the values taken by the discrete random variables xi.
+A set of probability value pi assigned to each of the values taken by the discrete random variables xi.
-
satisfying
--
-
-
Probabilistic properties of a continuous random variable.
+Probabilistic properties of a continuous random variable.
-
Expectation
+Expectation
-
Probabilistic properties of a continuous random variable.
+Probabilistic properties of a continuous random variable.
-
satisfying
+satisfying
-
-