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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the joint pmf for two discrete random variables provide?
💡 Hint: Consider what 'joint' means in the context of probability.
Question 2
Easy
Write the first property of joint probability distributions.
💡 Hint: Think about what probabilities should always be.
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 a joint probability mass function describe?
- The probability of one random variable
- The combined probability of two discrete random variables
- The area under a curve
💡 Hint: Focus on 'joint' – it's about combinations.
Question 2
True or False: A joint pmf must always yield a negative probability.
- True
- False
💡 Hint: Probabilities should not dip below zero!
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose you have a joint pmf with P(X=0, Y=1) = 0.3 and P(X=0, Y=2) = 0.2. Calculate the marginal pmf for P(X=0).
💡 Hint: Total all probabilities corresponding to X=0.
Question 2
Given a joint pmf indicating the failure rate of two machines X and Y is connected, show if they are independent or not, and explain why.
💡 Hint: Independence means multiplication of individual probabilities works every time!
Challenge and get performance evaluation