12.3 - Properties of PMF
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Practice Questions
Test your understanding with targeted questions
What does the non-negativity property mean?
💡 Hint: Think about if you can have a negative chance of an event happening.
Why is normalization important in PMFs?
💡 Hint: Recall PMF like a cup; it must be full!
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the property that ensures probabilities are not negative in a PMF?
💡 Hint: This property safeguards the logical foundation of probability.
Is a PMF valid if the total probabilities sum to more than 1?
💡 Hint: Revisit the 'full cup of probability' analogy.
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Challenge Problems
Push your limits with advanced challenges
Consider a scenario where a random variable X represents the number of correct answers from a multiple-choice exam with 3 questions (each question has 4 choices). Construct a PMF for X.
💡 Hint: Identify the variable outcomes and apply the binomial distribution.
Why might we prefer using a PMF over a PDF when analyzing data involving customer choices (like size selections: small, medium, large)?
💡 Hint: Think about the nature of customer choices and their specific outcomes.
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