7.2.8 - Steps to Work with PDFs
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Practice Questions
Test your understanding with targeted questions
What does PDF stand for?
💡 Hint: It's essential in the probability.
Name two common types of probability distributions.
💡 Hint: Think of how probabilities can be evenly spread or clustered.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the sum of all PDF values over its range?
💡 Hint: Think about the entire probability space.
A PDF can be negative.
💡 Hint: Recall the foundational properties of PDFs.
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Challenge Problems
Push your limits with advanced challenges
If a variable X has a uniform distribution between 0 and 16, what is the probability that X is less than 5?
💡 Hint: Use the length of the interval method.
A continuous random variable has a PDF given by f(x) = 3x^2 for 0 < x < 1. Find the mean of this distribution.
💡 Hint: Use the definition of expected value with the PDF.
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