How does integrating just over the PDF of a random variable give you the expected value of that random variable?
13113
Intuition behind using complementary CDF to compute expectation for nonnegative random variables
44055
PDF of product of variables
63399
What happens when merging random variables in Dirichlet distribution?
38461
If random variables are drawn from an identical distribution, why doesn't this guarantee they are independent?
99507
Pdf of the square of a standard normal random variable
1094
Expected Value of the maximum of two exponentially distributed random variables
156019
Expectation formula of an integrable random variable
91216
Question about Conditional Expectation
83860
What does it mean to integrate with respect to the distribution function?
92676
How do I find this conditional expectation?
44687
Expected Value and Random variables
21649
P.d.f of the absolute value of a normally distributed variable
85955
Expected value of maximum of two random variables from uniform distribution
38324
Show that $E(X)=\int_{0}^{\infty}P(X\ge x)\,dx$ for non-negative random variable $X$
111680
Why is the function $\Omega\rightarrow\mathbb{R}$ called a random variable?
95123
General solution of expected value of E(f(X))?
145136
When can we interchange the derivative with an expectation?