List questions from probability-distributions

Published on 15 Apr 2026 - 5:48

57

Views

$U\sim \mathcal U(0,a)\overset{?}{\implies}U-\lfloor U \rfloor \sim \mathcal U (0,a-\lfloor a \rfloor$)

Published on 14 Apr 2026 - 17:40

204

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Show that if $X_1$ and $X_2$ are distributed $\exp(\theta)$ then $X_1-X_2$ is distributed Laplace$(0,\theta)$

Published on 30 Mar 2026 - 2:29

2.6k

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Throwing darts at dartboard (cumulative distribution function)

Published on 13 Apr 2026 - 13:01

105

Views

Probability that I am better that my opponent, given $n$ wins out of $m$

Published on 14 Apr 2026 - 10:43

109

Views

Finding $a_n, b_n$ so that a sequence converges in distribution to a nondegenerate random variable.

Published on 14 Apr 2026 - 10:58

145

Views

What's the PMF of the Difference between 2 Independent Poisson RV?

Published on 12 Apr 2026 - 12:38

219

Views

Distributed to symbol for frequency distributions

Published on 14 Apr 2026 - 3:30

57

Views

An Integral and its limit

Published on 10 Apr 2026 - 2:51

4k

Views

How to show this integral equals $\pi^2$?

Published on 10 Apr 2026 - 19:52

454

Views

Hyperreal probability density?

Published on 11 May 2026 - 1:01

8.6k

Views

Can the expected value of a PMF be zero, as in E[X] = 0?

Published on 13 Apr 2026 - 13:28

836

Views

Lifetime of Light Bulbs - Probability Question

Published on 12 Apr 2026 - 5:00

377

Views

Probability: basic question and concept

Published on 11 Apr 2026 - 10:25

305

Views

Differential Equation for brownian bridge?

Published on 12 Apr 2026 - 1:33

List Question

What does tightness of convergence mean and why do we use this?

$U\sim \mathcal U(0,a)\overset{?}{\implies}U-\lfloor U \rfloor \sim \mathcal U (0,a-\lfloor a \rfloor$)

Show that if $X_1$ and $X_2$ are distributed $\exp(\theta)$ then $X_1-X_2$ is distributed Laplace$(0,\theta)$

Throwing darts at dartboard (cumulative distribution function)

Probability that I am better that my opponent, given $n$ wins out of $m$

Finding $a_n, b_n$ so that a sequence converges in distribution to a nondegenerate random variable.

What's the PMF of the Difference between 2 Independent Poisson RV?

Distributed to symbol for frequency distributions

An Integral and its limit

How to show this integral equals $\pi^2$?

Hyperreal probability density?

Can the expected value of a PMF be zero, as in E[X] = 0?

Lifetime of Light Bulbs - Probability Question

Probability: basic question and concept

Differential Equation for brownian bridge?

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