Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
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