# Questions tagged [expected-value]

The expected value of a random variable is a weighted average of all possible values a random variable can take on, with the weights equal to the probability of taking on that value.

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### Expectation values [closed]

What is the expectation value of the expectation value. How to calculate: <∆j> where, ∆j=spread of data= j-<j.> ;for any variable j
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### Bayesian Quadrature to find expectation of unkown function w.r.t. known pdf

I am interested in estimating the integral $\int f(x) P(x) dx$, where $f(x)$ is an expensive function and $P(x)$ is has an analytic form. I would like to evaluate this with as few evaluations of $f(x)$...
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### Suppose I have 100 integers and I sample 10 without repetition. What is the expected rank of the lowest out of 10 samples?

Suppose I have 100 integers and I sample 10 without replacement. What is the expected rank of the lowest out of 10 samples? i.e. my lowest integer in the 10-sample is kth smallest out of 100. what is ...
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### some thought about independence and orthogonal, please comment on this if it's wrong

It seems that linearly independent is totally different from independent of random variable concept. Non-zero vectors Orthogonality must imply linearly independence. In Statistics, the relation of ...
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