12.6 - Cumulative Distribution Function (CDF) vs PMF
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Practice Questions
Test your understanding with targeted questions
What does PMF stand for?
💡 Hint: Think about the type of probability it deals with.
True or False: The CDF gives probabilities for discrete outcomes only.
💡 Hint: Consider the definitions of PMF and CDF.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the PMF provide?
💡 Hint: Remember the definition of PMF.
Is the following statement True or False? The CDF is used to find the probability of discrete outcomes.
💡 Hint: Think of what CDF does.
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Challenge Problems
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Suppose a discrete random variable has a PMF given as P(X=1) = 0.1, P(X=2) = 0.2, P(X=3) = 0.4, and P(X=4) = 0.3. Construct the corresponding CDF and explain the interpretation.
💡 Hint: Add the PMF probabilities cumulatively to form the CDF.
Consider a scenario where the CDF of a random variable is defined piecewise. Describe how this affects the PMF.
💡 Hint: Analyze the areas where the CDF changes values.
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