List questions from probability-distributions

Published on 09 Apr 2026 - 1:58

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$F$ is the cumulative distribution function for a continuous random variable. What is the meaning of $F(b)−F(a)=0.20$?

Published on 15 Apr 2026 - 1:14

222

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Gaussian Random Variables Expectation and variance.

Published on 14 Apr 2026 - 12:25

26

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validity of a PDFfunction .

Published on 15 Apr 2026 - 22:42

1.9k

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Monotonicity of the CDF of a Binomial Distribution

Published on 12 Apr 2026 - 7:26

52

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Verify that $(n-1)s^2(x) = \sum_{k=1}^{n}x_2^k − n\bar{x}^2$

Published on 17 Apr 2026 - 0:54

225

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Characteristic functions of multivariate distributions

Published on 28 Mar 2026 - 3:03

215

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How to denote a sum of $n$ samples from a distribution?

Published on 11 Apr 2026 - 12:25

207

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Parameters for Yule - Simon Distribution

Published on 14 Apr 2026 - 15:06

4.7k

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What is the distribution of the product of a Bernoulli (0,1) & a normal random variable?

Published on 12 Apr 2026 - 17:57

1.3k

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Finding distribution of $\frac{1}{\sqrt X}$ when $X$ is uniform on $[1,9]$

Published on 14 Apr 2026 - 10:59

77

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Use of logarithmic identities in dirichlet log-likelihood derivation

Published on 13 Apr 2026 - 18:17

69

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$f(Y|X,Y<X + E_X - E_Y)~= ~?$, where $X,Y\sim N(\mu,\sigma^2)$ and $E_x,E_y\sim N(\epsilon,s^2)$ are mutually independent

Published on 16 Apr 2026 - 1:08

505

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proof for a continuous distribution function where a single point has 0 probability of occurring

Published on 11 Apr 2026 - 12:33

368

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For geometric distribution how is $E[X]/(1-p)^2 = 1/p(1-p)$?

Published on 17 Apr 2026 - 13:59

List Question

conditional probability and entropy

$F$ is the cumulative distribution function for a continuous random variable. What is the meaning of $F(b)−F(a)=0.20$?

Gaussian Random Variables Expectation and variance.

validity of a PDFfunction .

Monotonicity of the CDF of a Binomial Distribution

Verify that $(n-1)s^2(x) = \sum_{k=1}^{n}x_2^k − n\bar{x}^2$

Characteristic functions of multivariate distributions

How to denote a sum of $n$ samples from a distribution?

Parameters for Yule - Simon Distribution

What is the distribution of the product of a Bernoulli (0,1) & a normal random variable?

Finding distribution of $\frac{1}{\sqrt X}$ when $X$ is uniform on $[1,9]$

Use of logarithmic identities in dirichlet log-likelihood derivation

$f(Y|X,Y<X + E_X - E_Y)~= ~?$, where $X,Y\sim N(\mu,\sigma^2)$ and $E_x,E_y\sim N(\epsilon,s^2)$ are mutually independent

proof for a continuous distribution function where a single point has 0 probability of occurring

For geometric distribution how is $E[X]/(1-p)^2 = 1/p(1-p)$?

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