query: Define $Var(XY)$ in terms of $E(X)$, $E(Y)$, $Var(X)$, $Var(Y)$ for Independent Random Variables $X$ and $Y$
positive_passages.docid: 95625
positive_passages.text: Variance of product of multiple independent random variables
negative_passages.docid: 81363
negative_passages.text: How to compute $P(X>Y)$ if $X$ and $Y$ are independent and exponentially distributed
negative_passages.docid: 116975
negative_passages.text: Given $X$ and $Y$ are independent N(0,1) random variables and $Z = \sqrt{X^2+Y^2}$ from the marginal pdf of $Z$
negative_passages.docid: 83464
negative_passages.text: Conditional expectation of $\mathbb{E}(X - Y | (X, Y)\in\mathcal{A})$
negative_passages.docid: 12075
negative_passages.text: Explanation of the different variable types in statistics?
negative_passages.docid: 149362
negative_passages.text: Prove that $ \mathbb{E}[XY] - \mathbb{E}[X] \mathbb{E}[Y] = \int_{- \infty}^\infty \int_{- \infty}^\infty (F(x,y)-F_X(x) F_Y(y)) \,dx\,dy,$
negative_passages.docid: 92054
negative_passages.text: $X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$
negative_passages.docid: 85588
negative_passages.text: How variance is defined?
negative_passages.docid: 46380
negative_passages.text: Variance (different definitions)
negative_passages.docid: 88511
negative_passages.text: Variance of product of dependent variables
negative_passages.docid: 8980
negative_passages.text: What is meant by a "random variable"?
negative_passages.docid: 102514
negative_passages.text: Generate a random variable with a defined correlation to an existing variable(s)
negative_passages.docid: 61758
negative_passages.text: Limit question on independent random variables (Exercise 4.2.4 from Grimmett and Stirzaker)
negative_passages.docid: 34546
negative_passages.text: What will be the variance of the following Random variable
negative_passages.docid: 4130
negative_passages.text: Variance of a bounded random variable
negative_passages.docid: 45143
negative_passages.text: Identify $E(X\mid X+Y)$ for $X$ and $Y$ independent and Poisson
negative_passages.docid: 31197
negative_passages.text: Expected value of product of dependent random variables