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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a CDF is.
💡 Hint: Think about what the function describes.
Question 2
Easy
What is the range of values for a CDF?
💡 Hint: What are the limits 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 for a discrete random variable represent?
- P(X < x)
- P(X ≤ x)
- P(X > x)
💡 Hint: Remember what the CDF is defined as.
Question 2
True or False: The CDF can decrease as x increases.
- True
- False
💡 Hint: Think about the probability structure.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the CDF of a discrete random variable must approach 1 as x approaches infinity.
💡 Hint: Consider how cumulative probabilities work with respect to the definition of total probability.
Question 2
For a continuous random variable defined by f(x) = 4x^(3) on [0,1], find the CDF at x = 0.75 and discuss the behavior near 1.
💡 Hint: Set up your integral for the PDF correctly, and consider limits at the endpoint.
Challenge and get performance evaluation