13.1.3 - Properties of PDF
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Practice Questions
Test your understanding with targeted questions
What does non-negativity mean in the context of a PDF?
💡 Hint: Think about the probabilities and their range.
True or False: The total area under a PDF curve must equal one.
💡 Hint: Consider probabilities summing to 100%.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a key characteristic of a valid PDF?
💡 Hint: Remember, probabilities cannot be negative.
True or False: The total area under a PDF equals zero.
💡 Hint: Think about the definition of a PDF.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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