List questions from probability-distributions

Published on 01 Apr 2026 - 21:55

36

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Probability in two dimensions

Published on 09 Apr 2026 - 8:50

2.9k

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If $X_i\sim U(0,\theta)$, then there exists UMP test for $H_0:\theta=\theta_0$ vs $H_1:\theta>\theta_0$

Published on 26 Mar 2026 - 4:34

294

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Compute $P(X+Y>Z)$ where $X, Y$ and $Z$ are independent, uniform random variables in the interval $[0,1]$.

Published on 26 Mar 2026 - 5:55

45

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Show that $\Phi_\epsilon(x-a)\cdot\Phi_\epsilon(b-x)$ converges to an index function $I\{a\le x\le b\}$

Published on 09 Apr 2026 - 5:47

5.5k

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Probability distribution vs. probability mass function / Probability density function terms: what's the difference

Published on 09 Apr 2026 - 16:22

224

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Nice result that I can't prove: $\int_{-2}^{2} \tan^{-1} \bigg( \exp(-x²\text{erf}(x)) \bigg) \;dx=\pi$

Published on 25 Mar 2026 - 16:03

25

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Exponential Distruproblem

Published on 25 Mar 2026 - 15:57

375

Views

joint/marginal pdfs over parallelogram integration limits

Published on 26 Mar 2026 - 5:56

57

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Distribution Function Conditioned On Geometric Random Variable

Published on 29 Mar 2026 - 14:35

53

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How to find which of two events -drawn from a normal distribution- is more likely?

Published on 25 Mar 2026 - 4:40

3.1k

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Minimizing the sum of KL divergences

Published on 11 Apr 2026 - 2:08

35

Views

Distribution of $\bar{X}$ of n Bernoulli's

Published on 10 Apr 2026 - 16:05

196

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What conditions on the moments make a measure a probability measure?

Published on 25 Mar 2026 - 6:12

137

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Exponential Distribution Random Numbers out of range

Published on 10 Apr 2026 - 21:41

List Question

Find $P[X<2Y]$ where $0<y<x<1$

Probability in two dimensions

If $X_i\sim U(0,\theta)$, then there exists UMP test for $H_0:\theta=\theta_0$ vs $H_1:\theta>\theta_0$

Compute $P(X+Y>Z)$ where $X, Y$ and $Z$ are independent, uniform random variables in the interval $[0,1]$.

Show that $\Phi_\epsilon(x-a)\cdot\Phi_\epsilon(b-x)$ converges to an index function $I\{a\le x\le b\}$

Probability distribution vs. probability mass function / Probability density function terms: what's the difference

Nice result that I can't prove: $\int_{-2}^{2} \tan^{-1} \bigg( \exp(-x²\text{erf}(x)) \bigg) \;dx=\pi$

Exponential Distruproblem

joint/marginal pdfs over parallelogram integration limits

Distribution Function Conditioned On Geometric Random Variable

How to find which of two events -drawn from a normal distribution- is more likely?

Minimizing the sum of KL divergences

Distribution of $\bar{X}$ of n Bernoulli's

What conditions on the moments make a measure a probability measure?

Exponential Distribution Random Numbers out of range

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