# Tagged Questions

Conditioning is a probabilistic operation that consists in examining the probabilistic properties of a random variable (or of an event) given the realised value of another random variable (or of an event)

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### Conditioning within definition explanation

I have a doubt on the meaning of a conditioning within a definition. In a book I've found the following definition of upper tolerance limit: $P(P(X<\bar X+kS|\bar X, S)>p)=1-\alpha$ where $X$ ...
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### Calculating percentile conditional on continuous variable

I have a collection of datasets with (x,y) - pairs where the value of y is conditional on x. Neither the distribution of x nor of y is known, n is ranging from 1000 to 10000. Here is the scatterplot ...
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### Estimate point in metric variable where probability of success of a conditionally Bernoulli distributed variable changes (independent observations)

There is a metric variable X and a conditionally Bernoully distributed variable Y, where the probability of success of Y changes at a threshold x of variable X. The obervations are independent. I want ...
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### Estimating the conditional expectation

Consider the discrete random variables $G,W,N$ all defined in the probability space $(\Omega, \mathcal{F}, \mathbb{P})$, respectively with support $\mathcal{G}, \mathcal{W}, \mathcal{N}$. Consider ...
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### iterated expectation conditional on two variables

How to prove that $E[Y]=E[E[E[Y|X_1, X_2]]]$ ? PS. I don't see how $E[E(Y|X_{1},X_{2})|X_{1}]=Y[Y|X_{1}]$ and $E[Y]=E[E(Y|X_{1})]$ can be used here. But it feels close. Please help, I'm stuck PPS. ...