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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a Cumulative Distribution Function.
💡 Hint: Think about what F(x) represents in terms of probability.
Question 2
Easy
What is the range of a CDF?
💡 Hint: Consider the nature of probabilities.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the CDF F(x) represent?
- Probability that X > x
- Probability that X = x
- Probability that X ≤ x
💡 Hint: Think of the role CDF plays in distribution.
Question 2
True or False: The CDF can take values outside the range of 0 to 1.
- True
- False
💡 Hint: Reflect on the nature of probability.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation