file:: [section_2.2_1686907456219_0.pdf](../assets/section_2.2_1686907456219_0.pdf)
file-path:: ../assets/section_2.2_1686907456219_0.pdf

- The Definition of Distribution Function
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- The Properties of Distribution Function
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- A random variable is said to be of discrete type if the number of different values it can take is finite or countably infinite.
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- We call X a continuous random variable if there is a function f defined for all x ∈ R and having the following properties:
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- The Distribution Function of Function of a Random Variable
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- we can assert that if X is a random variable, then Y := g(X) = g(X(ω)), where g is a real-valued function defined on the real line, is a random variable as well
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