8.1 - What is a Cumulative Distribution Function (CDF)?
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a Cumulative Distribution Function.
💡 Hint: Think about what F(x) represents in terms of probability.
What is the range of a CDF?
💡 Hint: Consider the nature of probabilities.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the CDF F(x) represent?
💡 Hint: Think of the role CDF plays in distribution.
True or False: The CDF can take values outside the range of 0 to 1.
💡 Hint: Reflect on the nature of probability.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Consider a random variable X with the PDF f(x) = 3x² for 0 ≤ x ≤ 1. Find the CDF F(x) and evaluate F(0.5).
💡 Hint: Remember to adjust the limits of integration properly.
A six-sided die is rolled. Calculate the CDF for the random variable representing the number shown on the die.
💡 Hint: Create segments in your computation for clarity.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.