Questions tagged [probability]

For basic questions about probability and the questions associated with the calculation of probability, expected value, variance, standard deviation, or similar statistical quantities. For questions about the theoretical footing of probability (especially using [tag:measure-theory]), ask under [tag:probability-theory] instead. For questions about specific probability distributions, use [tag:probability-distributions] instead.

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Linear reward-inaction algorithm for two-armed bandit

Suppose there are two slot-machines. When playing one of them, you win with probability $p$ and while playing the other you win with probability $q$, where $0 < q < p <1$. A gambler ...
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A very strange continuous stochastic process: can we build one ? Does it exist?

Let $(\Omega, \mathcal A, \mathbb P)$ be a probability space and $X_t:\Omega \times \mathbb [0,T] \rightarrow \mathbb R$ a continuous stochastic process with the following property: There exists an $n&...
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Normalizing constants preserve metric entropy

Suppose $\mathcal{F}=\left\{f\in L^2([a,b]): 0<\underline{c}\leq f\leq\overline{c} \right\}$. Consider the following transformation $$\tilde{\mathcal{F}} := \left\{\frac{f}{\int f d\mu}: f\in \...
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What is the probability of a random COVID antigen test detecting someone with symptoms

I am trying to figure out the probability of an individual (let's call him Bob) returing a positive covid antigen result if he is a member of a group of 100 people being tested in groups of about 12 ...