7.3. - Non-negativity
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Practice Questions
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What does non-negativity of a PDF mean?
💡 Hint: Think about what probabilities represent.
Can a PDF ever take negative values? Why or why not?
💡 Hint: Recall the meaning of probability.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the non-negativity property of PDFs imply?
💡 Hint: Remember how we categorize probabilities.
True or False: A valid probability distribution can contain negative values.
💡 Hint: Think about what a negative probability would represent.
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Challenge Problems
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A researcher mistakenly models a random variable's PDF and allows negative values. Discuss the potential consequences this misinformation could lead to in statistical conclusions.
💡 Hint: Consider the implications of statistical accuracy.
Design a simple PDF for a random variable that can only take values in a range from 0 to 10, ensuring it respects the non-negativity condition. Outline your thought process.
💡 Hint: Use straightforward mathematical functions for easy understanding.
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