query: How to derive $\mathbb E(e^X)$ if $X$ is normally distributed?
positive_passages.docid: 151996
positive_passages.text: Calculate the expected value of $Y=e^X$ where $X \sim N(\mu, \sigma^2)$
negative_passages.docid: 22085
negative_passages.text: Expectation of a function of a random variable from CDF
negative_passages.docid: 73367
negative_passages.text: On $E[E[Y|X]|X]= E[Y|X]$
negative_passages.docid: 73131
negative_passages.text: Derivation of the gaussian integral
negative_passages.docid: 38324
negative_passages.text: Show that $E(X)=\int_{0}^{\infty}P(X\ge x)\,dx$ for non-negative random variable $X$
negative_passages.docid: 77306
negative_passages.text: Expectation of truncated normal
negative_passages.docid: 150667
negative_passages.text: Given the normal distribution X=N(1,2), what is E[X^3]?
negative_passages.docid: 99024
negative_passages.text: Let $\,E=\{(x,y) \in \Bbb R^2: |x| \le 1,|y|\le 1\}.$
negative_passages.docid: 109109
negative_passages.text: Show that $E(XE[X|G])=E[(E[X|G)^2]$
negative_passages.docid: 5350
negative_passages.text: Explain why $E(|X|^p)=p\int_{0}^{\infty}y^{p-1}P(|X|>y) dy$
negative_passages.docid: 48811
negative_passages.text: Characteristic function of product of normal random variables
negative_passages.docid: 83877
negative_passages.text: Distribution of the square of a non-standard normal random variable
negative_passages.docid: 157517
negative_passages.text: Simple homework question about normally distributed variables
negative_passages.docid: 134696
negative_passages.text: How can I show that the conditional expectation $E(X\mid X)=X$?
negative_passages.docid: 132392
negative_passages.text: Properties of Expectation
negative_passages.docid: 67489
negative_passages.text: How to show that $E[(\hat\theta -\theta)^2]<Var(\bar X)=\dfrac{1}{n}$?
negative_passages.docid: 21526
negative_passages.text: Defining symbolic expectation function