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
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is the statement 'Independent variables affect each other's probability' true or false?
💡 Hint: Think about how independence relates to probability.
Question 2
Easy
Define a discrete random variable in one sentence.
💡 Hint: Consider what kind of values can be counted.
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 condition for independence between discrete random variables?
- A: P(X
- Y) = P(X) × P(Y)
- B: P(X) = P(Y)
- C: P(X|Y) = P(X)
💡 Hint: Recall the equation for independence.
Question 2
True or False: If P(X=1, Y=2)=0.4 and P(X=1)=0.5, P(Y=2)=0.3, X and Y are independent.
- True
- False
💡 Hint: Use the independence equation for checking.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a joint probability table for random variables X and Y, assess their independence: X/Y 1 2; 1 0.2 0.5; 2 0.3 0.1.
💡 Hint: Carefully label all calculations for clarity.
Question 2
Develop a scenario involving two random variables where independence simplifies decision-making. Explain the impact.
💡 Hint: Think about practical applications in engineering or statistics.
Challenge and get performance evaluation