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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for calculating the marginal PMF of variable X?
💡 Hint: Think about how you want to isolate the variable X.
Question 2
Easy
Provide an example of a discrete random variable.
💡 Hint: Consider discrete outcomes from an experiment.
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 is the marginal PMF of variable X?
- Calculated by summing probabilities of the joint distribution for Y
- Independently calculated from the other variables
- Equal to the joint PMF of X
💡 Hint: Remember the formula for marginal PMF!
Question 2
Marginal PMFs help in understanding the relationship between variables. True or False?
- True
- False
💡 Hint: Reflect on the importance of isolating each variable.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A joint PMF is defined as follows: \( P(X=0, Y=0) = 0.1, P(X=0, Y=1) = 0.2, P(X=1, Y=0) = 0.3, P(X=1, Y=1) = 0.4 \). If you add a new variable Z such that Z can take values 1 or 0, how does that affect the calculation of marginal PMFs for X?
💡 Hint: Focus on how new variables interact with existing distributions.
Question 2
If two discrete random variables X and Y have identical marginal distributions but are dependent, provide a scenario in which this can occur.
💡 Hint: Think about variables where one's outcome affects the other.
Challenge and get performance evaluation