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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the CDF in your own words.
💡 Hint: Think about how probabilities accumulate.
Question 2
Easy
What is the relation between PDF and CDF?
💡 Hint: Integration leads to cumulative values.
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 is the primary function of a CDF?
- Describes likelihood at a point
- Used for integration alone
- Gives cumulative probability
💡 Hint: Recall what cumulative means.
Question 2
True or False: As x approaches negative infinity, the CDF approaches 1.
- True
- False
💡 Hint: Think about total probability discounting small values.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Derive the CDF for a PDF given as f(x) = e^(-x) for x ≥ 0.
💡 Hint: Set up the definite integral for the PDF.
Question 2
For a bimodal distribution with two peaks, how would you outline a method to derive its CDF?
💡 Hint: Think about piecewise functions.
Challenge and get performance evaluation