CDF Calculator for Continuous Random Variables
Easily calculate the Cumulative Distribution Function (CDF) for continuous random variables online. Enter your PDF and value to find the CDF.
Input Parameters
Enter the Probability Density Function (PDF) and the value for which you want to calculate the CDF.
Calculation Results
Visualization
Understanding CDF for Continuous Random Variables
The Cumulative Distribution Function (CDF), denoted as F(x), for a continuous random variable X gives the probability that X will take a value less than or equal to x. Mathematically, it\'s defined as:
where f(t) is the Probability Density Function (PDF) of the random variable X. The PDF describes the relative likelihood for this random variable to take on a given value.
How to use this tool:
- Enter the PDF function in terms of \'x\' in the first input box. For example:
0.5 * exp(-abs(x)). - Enter the value of \'x\' for which you want to calculate the CDF in the second input box.
- Click 'Calculate CDF' to compute the cumulative probability and visualize the PDF and CDF.
- Use 'Reset' to clear inputs and outputs.
- Copy the calculated CDF value using the 'Copy' button.
This tool uses numerical integration to approximate the CDF value. The visualization helps understand the relationship between the PDF and CDF.