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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a Joint Probability Mass Function.
💡 Hint: Think of it as a function relating two outcomes.
Question 2
Easy
Give an example of a discrete random variable.
💡 Hint: Focus on countable outcomes.
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 Joint PMF indicate?
- Probability of single events
- Joint likelihood of two events
- Marginal distribution
💡 Hint: Think about the combined outcomes.
Question 2
True or False: If two random variables are independent, their joint PMF can be expressed as the product of their individual PMFs.
- True
- False
💡 Hint: Recall the independence formula we discussed.
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Challenge Problems
Push your limits with challenges.
Question 1
You are given a joint PMF where P(X=1, Y=1)=0.5, P(X=1, Y=2)=0.3, and P(X=2, Y=2)=0.2. Check if X and Y are independent.
💡 Hint: Sum the probabilities to find marginal values first.
Question 2
You have P(X=1, Y=1)=0.25, P(X=1, Y=2)=0.25, P(X=2, Y=1)=0.25, P(X=2, Y=2)=0.25. Are X and Y independent?
💡 Hint: This illustrates proper checking for equality in independence.
Challenge and get performance evaluation