13.1.4 - Cumulative Distribution Function (CDF)
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Practice Questions
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What does the CDF represent?
💡 Hint: Think about what kind of probability it describes.
What is one property of a CDF?
💡 Hint: Consider how the probability changes as the value increases.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the cumulative distribution function?
💡 Hint: Recall what cumulative means.
True or False: The CDF at positive infinity equals 1.
💡 Hint: Think about certainty in probabilities.
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Challenge Problems
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Given a continuous random variable with a PDF of f(x) = 2x for 0 ≤ x ≤ 1, determine the CDF and graph it.
💡 Hint: Use the fundamental theorem of calculus for integration.
Explain how CDFs can assist in decision-making within risk management frameworks.
💡 Hint: Consider how probabilities directly inform decisions.
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