Statistics

CDF Calculator for Discrete Random Variable

Calculate Cumulative Distribution Function (CDF) for discrete random variables online. Enter values and probabilities to generate a CDF table instantly.

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.

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.

Frequently Asked Questions

What is the CDF Calculator for Discrete Random Variable?
The CDF Calculator for Discrete Random Variable is an online Statistics calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the CDF Calculator for Discrete Random Variable?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the CDF Calculator for Discrete Random Variable for professional Statistics projects?
Yes. The math behind it is standard Statistics, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the CDF Calculator for Discrete Random Variable instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the CDF Calculator for Discrete Random Variable?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.