CDF Calculator for Discrete Random Variable
Easily calculate the Cumulative Distribution Function (CDF) for a discrete random variable. Just enter the values and their corresponding probabilities.
Enter the distinct values of your random variable, separated by commas.
Enter the probabilities corresponding to each value, in the same order, separated by commas.
Cumulative Distribution Function (CDF) Table
| Value (x) | CDF (F(x)) |
|---|---|
About Cumulative Distribution Function (CDF)
The Cumulative Distribution Function (CDF), or just Cumulative Function, describes the probability that a real-valued random variable X with a given probability distribution will be found at a value less than or equal to x. In the case of a discrete random variable, the CDF is calculated by summing the probabilities for all values less than or equal to x.
For example, if we have a discrete random variable X with values (1, 2, 3) and probabilities (0.2, 0.5, 0.3) respectively, the CDF at x=2, F(2), is the sum of probabilities for X ≤ 2, which is P(X=1) + P(X=2) = 0.2 + 0.5 = 0.7. This tool helps you quickly generate the CDF table for any discrete random variable given its values and probabilities.
Learn more about CDF on resources like Wikipedia.