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A distribution is a mathematical description of probabilities or frequencies.
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Infinite probability density
Let's say I have a normally distributed random variable $X$ with mean $t$ and standard deviation $t^2$. That is,
$X \sim N (t,t^2)$
Here, $t$ is a parameter.
If I set $t$ equal to 0, then the proba …
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Maximum entropy distribution of a positive continuous variable with known mean and vanishing...
I am working on a problem where I know that the variable of concern $x$ is positive, and has no upper bound on its value and whose probability would vanish as we approach 0, $\lim_{x \rightarrow 0^+} …
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Bounds on percentile given z-score
Suppose we have a random variable $X$ that can take real values from 0 to 100, according to a distribution $f$, for which the expectation $E(X)$ and the variance $SD(X)^2$ are well defined and finite. …
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Intuition and conditional probability, Bayesian [duplicate]
There are two students, who have come for admission in a school. Both the students submitted their respective latest test scores (from their previous schools). One student had appeared in an easy test …