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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the expectation for discrete variable X with values 4, 5, 6 and probabilities 0.1, 0.4, 0.5 respectively.
💡 Hint: Use the formula E[X] = Σx * P(X=x).
Question 2
Easy
What does it mean if Cov(X,Y) = 0?
💡 Hint: Consider the relationship between correlation and covariance.
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 expectation of a random variable?
- Average value
- Highest value
- Lowest value
💡 Hint: Think about how we calculate averages.
Question 2
Is Cov(X,Y) positive, negative, or zero if X and Y are independent?
- Positive
- Zero
- Negative
💡 Hint: Consider the definition of independent variables.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the joint distribution P(X,Y) for X and Y, how do you determine if X and Y are independent?
💡 Hint: Review the independence formula.
Question 2
For a dataset of heights and weights, calculate the correlation coefficient. Explain what it tells you about the relationship.
💡 Hint: Consider the meaning of ρ values in correlation.
Challenge and get performance evaluation