8.3 - Properties of the CDF
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Practice Questions
Test your understanding with targeted questions
What does monotonicity of a CDF imply?
💡 Hint: Think about how probabilities accumulate.
What are the limits of the CDF at negative and positive infinity?
💡 Hint: Consider the total probabilities.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does it mean for the CDF to be monotonic?
💡 Hint: Think about how probabilities add up.
True or False: The CDF approaches 0 as x approaches positive infinity.
💡 Hint: Consider the behavior of total probability.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a randomized experiment where outcomes can be represented in a discrete CDF with jump discontinuities, describe how you would derive the PDF.
💡 Hint: Focus on differentiating the jumps.
In what scenarios would you expect a right-continuous CDF to be advantageous in modeling real-world scenarios?
💡 Hint: Consider applications in stochastic processes.
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