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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