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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a discrete random variable and provide one example.
💡 Hint: Think of outcomes that can be counted, not measured.
Question 2
Easy
What is a valid PMF?
💡 Hint: Recall the three conditions we discussed in class.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does PMF stand for?
- Probability Mean Function
- Probability Mass Function
- Partial Mass Function
💡 Hint: Remember it focuses on discrete outcomes.
Question 2
True or False: The sum of the probabilities in a valid PMF is 0.
- True
- False
💡 Hint: Consider the definition of a valid PMF and its requirements.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation