If $Z\thicksim\text{Poisson}(\lambda)$, find the expected value of $\frac{1}{1+Z}.$
74434
Find expected value of $\frac{1}{1+\xi}$
76532
Two different expansions of $\frac{z}{1-z}$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
29694
Expected Value of a Binomial distribution?
154185
Evaluate $\iiint_{[0,1]^3}\frac{dx\,dy\,dz}{(1+x^2+y^2+z^2)^2}$
89544
Expectation of a random variable that takes points in the natural numbers
39011
Understanding Poisson brackets
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
158932
Finding the expected value of a continuous random variable with a polynomial function. Update finding the integral.
102286
Compute $\mathbb{P}\{ W_t < 0 \, \, \text{for all} \, \, 1 < t < 2\}$ for a Brownian motion $(W_t)_{t \geq 0}$
147159
Determine the set of values of $\exp(1/z)$ for $0<|z|<r$
72904
Evaluation of $\prod_{n=1}^\infty e\left(\frac{n}{n+1}\right)^{n}\sqrt{\frac{n}{n+1}}$
102505
Expected number of (0,1) distributed continuous random variables required to sum upto 1
132392
Properties of Expectation
133801
Finding the PGF of $Z$ using conditional expectation.
75645
Proof of $\frac{Y^{\lambda}-\lambda}{\sqrt{\lambda}}\to Z\sim N(0,1)$ in distribution as $\lambda\to\infty$?
21135
Expected Value of Gamma Distribution