query: Given the normal distribution X=N(1,2), what is E[X^3]?
positive_passages.docid: 147323
positive_passages.text: calculating mean of a random variable raised to a power
negative_passages.docid: 4058
negative_passages.text: Suppose X and Y are i.i.d and $\frac{X+Y}{\sqrt{2}}\overset{d}=X\overset{d}=Y$, show that X has a normal distribution.
negative_passages.docid: 81077
negative_passages.text: Prove that $E(X^n)^{1/n}$ is non-decreasing for non-negative random variables
negative_passages.docid: 83877
negative_passages.text: Distribution of the square of a non-standard normal random variable
negative_passages.docid: 4265
negative_passages.text: Finding the Moment Generating Function of $X^2$ when $X\sim N(0,1)$
negative_passages.docid: 46044
negative_passages.text: Calculating Variance of a binomial distribution using the standard formula $E(X^2) - \mu^2$
negative_passages.docid: 107144
negative_passages.text: Normal distribution probability calculation
negative_passages.docid: 144691
negative_passages.text: About Trivariate Normal Distribution
negative_passages.docid: 115338
negative_passages.text: Example: satisfying $E(X_{n+1}\mid X_n)=X_n$ but not a martingale
negative_passages.docid: 14093
negative_passages.text: Expected value of x in a normal distribution, GIVEN that it is below a certain value
negative_passages.docid: 128440
negative_passages.text: If $X_1,\ldots,X_n\sim Uniform(0,1)$ and $Y=\max[X_1,\ldots,X_n]$, find $E(Y)$
negative_passages.docid: 142664
negative_passages.text: normal approximation to the binomial distribution: why np>5?
negative_passages.docid: 43942
negative_passages.text: $N(\theta,\theta)$: MLE for a Normal where mean=variance
negative_passages.docid: 79773
negative_passages.text: What is $P(X > 0 \mid X + Y > 0)$ given that $X, Y$ are i.i.d standard normal?
negative_passages.docid: 64844
negative_passages.text: Finding $E(|X_1|\ |\max |X_i| )$
negative_passages.docid: 131626
negative_passages.text: Finding the distribution of $\|X-\mu \|_\Sigma^2$ with $X \sim N(\mu,\Sigma)$
negative_passages.docid: 123962
negative_passages.text: Calculation of the n-th central moment of the normal distribution $\mathcal{N}(\mu,\sigma^2)$