3. Probability Distributions

Multivariate Distributions — Quiz

Test your understanding of multivariate distributions with 5 practice questions.

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Practice Questions

Question 1

Which of the following describes a joint probability distribution for two discrete random variables, $X$ and $Y$?

Question 2

If $X$ and $Y$ are two random variables, what does the marginal probability distribution $P(X=x)$ represent?

Question 3

For two continuous random variables $X$ and $Y$, the joint probability density function (PDF) is given by $f(x,y)$. How is the marginal PDF of $X$, denoted as $f_X(x)$, calculated?

Question 4

Which of the following statements is true regarding conditional distributions?

Question 5

What does the covariance between two random variables $X$ and $Y$, denoted as $Cov(X,Y)$, measure?