Proving that the expectation of a binomial random variable is $np$
29694
Expected Value of a Binomial distribution?
25654
E[X| X>Y] for independent X, Y ~ N(0,1)
88676
Proof verification : $X_n \to X$ in distribution, $Y_n \to 0$ in probability $\implies$ $X_nY_n \to 0$ in probability
72735
Understanding the proof of a formula for $p^e\Vert n!$
34916
Conditional expectation equals random variable almost sure
156882
Intuitive reason why the Fisher Information of Binomial is inversely proportional to $p(1-p)$
138962
$X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
1094
Expected Value of the maximum of two exponentially distributed random variables
10968
Let $X \sim Bin(n,p)$ show that $X/n \nsim Bin()$
38324
Show that $E(X)=\int_{0}^{\infty}P(X\ge x)\,dx$ for non-negative random variable $X$
146130
Conditional expectation of two identical marginal normal random variables
6077
Expectation of max of two normal random variables
66019
Revisited: Binomial Theorem: An Inductive Proof
124936
Help with a Probability Proof
1264
Find the probability of an event determined by an inequality on exponential random variables
46865
Proof of linearity for expectation given random variables are dependent
128856
Show the result of the following infinite sum, based on a binomial random variable conditioned on a Poisson random variable