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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does non-negativity mean in the context of a PDF?
💡 Hint: Think about the probabilities and their range.
Question 2
Easy
True or False: The total area under a PDF curve must equal one.
💡 Hint: Consider probabilities summing to 100%.
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 a key characteristic of a valid PDF?
- It can take negative values
- It must be non-negative
- It can sum over to more than one
💡 Hint: Remember, probabilities cannot be negative.
Question 2
True or False: The total area under a PDF equals zero.
- True
- False
💡 Hint: Think about the definition of a PDF.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Propose a PDF for a scenario in which the variable X represents time taken to complete a task and demonstrate how you would find the probability of completing the task within a specific timeframe.
💡 Hint: Use the properties of uniform distributions.
Question 2
Create a continuous random variable with a given PDF and calculate the expected value and variance.
💡 Hint: Work through the formula for expected value and variance iteratively.
Challenge and get performance evaluation