If $X$ has a binomial distribution with parameters $n$ and $p$, calculate $\textbf{E}[(1+X)^{-1}]$
58240
Find the expected value of $\frac{1}{X+1}$ where $X$ is binomial
141165
Probability of $p(x_1<x_2<\max(x_3,x_4))$
30662
$x_{1}...x_{n}$ are independent continuous random variables with common distribution function $F(x)$,compute $E(F(x_{(n)})-F(x_{(1)}))$
91564
Find the distribution of $X|X+Y=n$ using MGFs
143701
About logistic distribution and showing $Y=\frac{1}{1+e^{-X}}$ has an uniform distribution over (0,1)
117413
How to calculate the expectation of the square of the number of heads in N tosses?
156882
Intuitive reason why the Fisher Information of Binomial is inversely proportional to $p(1-p)$
55909
The expected value of $1/(1+X)$ where $X$ has geometric distribution
136686
Find the almost sure limit of $X_n/n$, where each random variable $X_n$ has a Poisson distribution with parameter $n$
29225
What is the probability that $x_1+x_2+...+x_n \le n$?
25519
Compute $P(X_1+\cdots+X_k\lt 1)$ for $(X_i)$ i.i.d. uniform on $(0,1)$
75902
Expectation of $\frac{1}{x+1}$ of Poisson distribution
64319
Deriving the canonical link for a binomial distribution
113333
How to estimate $P(x\le0)$ from $n$ samples of $x$?
144296
Mean Squared Error (MSE) of parameter $p$ in binomial distribution: intuition
67928
Extinction probabilities of binomial tends to Poisson distribution
94189
Calculate the limit including binomial coefficients