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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Joint PMF.
💡 Hint: Think of it as the probability table for two variables.
Question 2
Easy
What do we call the probability of one variable independent of another?
💡 Hint: Remember, it's about the influence of one on another.
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 the joint PMF represent?
- Probability of a single variable
- Probability of multiple variables
- Cumulative probability
💡 Hint: Focus on the word 'joint'.
Question 2
True or False: If two random variables are independent, P(X, Y) = P(X) * P(Y).
- True
- False
💡 Hint: Think about their interaction.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a joint PMF where P(X=1, Y=0) = 0.2, P(X=1, Y=1) = 0.3, and all others are 0, compute marginal PMFs for X and Y.
💡 Hint: Look carefully at how you sum probabilities.
Question 2
Consider a joint PDF f(x,y) = 2xy for 0 <= x <= 1 and 0 <= y <= 1. Confirm it is a valid PDF and find marginal PDFs for each variable.
💡 Hint: Check for area under the curve.
Challenge and get performance evaluation