12.10 - Important Points to Remember
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Practice Questions
Test your understanding with targeted questions
Define a discrete random variable and provide one example.
💡 Hint: Think of outcomes that can be counted, not measured.
What is a valid PMF?
💡 Hint: Recall the three conditions we discussed in class.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does PMF stand for?
💡 Hint: Remember it focuses on discrete outcomes.
True or False: The sum of the probabilities in a valid PMF is 0.
💡 Hint: Consider the definition of a valid PMF and its requirements.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
You have a PMF where the probabilities are P(0) = 0.4, P(1) = x, and P(2) = 0.3. Determine x, ensuring the PMF is valid.
💡 Hint: Think about the condition that they must sum to 1.
Consider a discrete random variable X with outcomes from a set {1, 2, 3}. If P(X=1) = 0.2, P(X=2) = 0.5, what is P(X=3) needed for normalization?
💡 Hint: Remember normalization requires the total probability to be 1.
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