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2 cards from this section. Quick, good the night before a test.
What is the mathematical condition for independence between two discrete random variables?
Look at the relationship between joint and marginal probabilities.
How do we express independence in continuous random variables?
Focus on how we relate joint PDF to marginal PDFs.
Which of the following is TRUE for independent random variables?
Think about what independence mathematically implies.
True or False: If two random variables are independent, their covariance is always zero.
Consider how correlation and independence relate.
A joint PMF of two discrete variables X and Y is provided. Calculate the marginal distributions and test if X and Y are independent. If X has values 1, 2 with corresponding probabilities, and Y has values 3, 4, write out the joint PMF table.
Don't forget to sum across both variables carefully.
Given a continuous joint PDF f(x, y) = xy for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1, derive the individual PDFs and check independence.
Set up correct limits for integration and pay attention to normalization.
5 more questions in this section. Enroll free to practise them all.
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