Conditioning over random variable

Dependencies:

1. Random variable
2. Conditional probability (incomplete)

Let $A$ be an event and $X$ be a random variable. Define $g(x) = \Pr(A \mid X=x)$. Then $P(A \mid X)$ is defined as the random variable $g(X)$.

Dependency for:

1. Law of total probability: P(A) = E(P(A|X)) (incomplete)

Info:

• Depth: 6
• Number of transitive dependencies: 13

Transitive dependencies:

1. /analysis/topological-space
2. /sets-and-relations/countable-set
3. /sets-and-relations/de-morgan-laws
4. σ-algebra
5. Generated σ-algebra
6. Borel algebra
7. Measurable function
8. Generators of the real Borel algebra (incomplete)
9. Measure
10. σ-algebra is closed under countable intersections
11. Probability
12. Conditional probability (incomplete)
13. Random variable