List questions from probability-distributions

Published on 06 May 2018 - 10:23

904

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Compute the PDF of $X$ if $(X,Y)$ is uniformly distributed over the unit disk

Published on 30 Mar 2026 - 12:01

306

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Find the probability that the equation has real roots.

Published on 06 May 2018 - 16:34

145

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Drunken man walking on an axis

Published on 06 May 2018 - 18:01

54

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Variance of summation of dependnent Bernoulli variables

Published on 06 May 2018 - 18:25

451

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Buffon's Needle. Probability to intersect the line.

Published on 06 May 2018 - 18:55

52

Views

Show that $h(x) = pf(x) + (1 − p)g(x)$ is a PDF.

Published on 06 May 2018 - 20:39

223

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Let $Z=X/(X+Y),$ find the pdf of $Z$.

Published on 06 May 2018 - 21:39

576

Views

What does determine if a distribution is Gaussian?

Published on 27 Mar 2026 - 23:23

111

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Showing that $\frac{X_{(i)}}{X_{(n)}},i=1,2,...,n-1$ and $X_{(n)}$ are independent for a population with df $F(y)=y^{\theta}$

Published on 25 Mar 2026 - 9:29

24

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average and standard deviation of distribution given by sum with exponential form

Published on 25 Mar 2026 - 11:12

17

Views

How to find cumulative distribution function given the first ocurence probability?

Published on 07 May 2018 - 9:26

87

Views

Show that $Y_1=\frac{X_{(1)}}{X_{(2)}},Y_2=\frac{X_{(2)}}{X_{(3)}},\dots, Y_{n-1}=\frac{X_{(n-1)}}{X_{(n)}}$, and $Y_{(n)}=X_{(n)}$ are independent

Published on 25 Mar 2026 - 9:29

1.5k

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Posterior distribution of exponential prior and uniform likelihood

Published on 25 Mar 2026 - 6:03

92

Views

Compound Poisson models with completely monotone claim sizes

Published on 27 Mar 2026 - 14:35

List Question

probability of a mixed group standing in line

Compute the PDF of $X$ if $(X,Y)$ is uniformly distributed over the unit disk

Find the probability that the equation has real roots.

Drunken man walking on an axis

Variance of summation of dependnent Bernoulli variables

Buffon's Needle. Probability to intersect the line.

Show that $h(x) = pf(x) + (1 − p)g(x)$ is a PDF.

Let $Z=X/(X+Y),$ find the pdf of $Z$.

What does determine if a distribution is Gaussian?

Showing that $\frac{X_{(i)}}{X_{(n)}},i=1,2,...,n-1$ and $X_{(n)}$ are independent for a population with df $F(y)=y^{\theta}$

average and standard deviation of distribution given by sum with exponential form

How to find cumulative distribution function given the first ocurence probability?

Show that $Y_1=\frac{X_{(1)}}{X_{(2)}},Y_2=\frac{X_{(2)}}{X_{(3)}},\dots, Y_{n-1}=\frac{X_{(n-1)}}{X_{(n)}}$, and $Y_{(n)}=X_{(n)}$ are independent

Posterior distribution of exponential prior and uniform likelihood

Compound Poisson models with completely monotone claim sizes

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