The random variables $X$ and $Y$ have the joint density $f_{X,Y}(x,y)=...$
33054
Given a joint density function, what is the conditional expectation $E[Y|x]$?
135085
The mutual density of $X,Y$ in $\{|t|+|s|<1\}$ is constant, are $X,Y$ independent?
142325
Two independent geometric random variables - proof of sum
65827
When $\min_{x \in X,y \in Y} f(x,y) = \min_{x \in X} \min_{y \in Y} f(x,y)$?
17558
How do I show that the sum of two random variables is random variable?
88860
The product of two lognormal random variables
153456
What is the random variable $Z$ by the notation $Z =X/Y$?
56692
Determine the probability densities for coefficients of equation
34392
Compute $P(Y<3X)$ using joint PDF
129116
$P(X<Y)$ where X and Y are exponential with means $2$ and $1$
85790
Product of two random variables that has exponential distribution
77412
Product of $\min$ and $\max$ of $n$ i.i.d. random variables.
154091
Is there any counterexample to show that $X,Y$ are two random variables and $E(X\mid Y)=E(X)$, but $X$ and $Y$ are not independent.
71301
Showing that Y has a uniform distribution if Y=F(X) where F is the cdf of continuous X
79254
Find the CDF and density for the ratio $Z=X/Y$ given that $X$ and $Y$ are iid?
40501
Why are these two random variables identically distributed?
68512
$\sigma$ algebra of collection of random variables