List questions from probability-distributions

Published on 24 Mar 2026 - 22:01

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How many seats should be available such that the probability.. is less than $0.01$?

Published on 24 Mar 2026 - 22:01

631

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Closed-Form PDF of Sum of n Independent Rayleigh Random Variables

Published on 24 Mar 2026 - 22:08

58

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Probability of future success when trials are dependent: In 4 draws w/o replacement, what is the probability that draws 3 & 4 will be successful?

Published on 05 May 2026 - 2:02

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Derive unbiased estimator for $\theta$ when $X_i\sim f(x\mid\theta)=\frac{2x}{\theta^2}\mathbb{1}_{(0,\theta)}(x)$

Published on 29 Apr 2026 - 12:23

463

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Show that $\max(X_1,\ldots,X_n)$ is a sufficient statistic.

Published on 29 Apr 2026 - 12:23

97

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Find the density function of the sum $(X,X+Y)$.

Published on 05 May 2026 - 17:42

2.3k

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Conditional density function with gamma and Poisson distribution

Published on 07 May 2026 - 11:33

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How do I calculate the nth-highest die, out of a collection of m identical dice?

Published on 29 Apr 2026 - 12:19

93

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How many independent measurement of CPU-time are required such that the difference $|\bar{X} - \mu|<0.1$ with probability $0.9$ at least?

Published on 24 Mar 2026 - 22:07

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Does this estimator respect the likelihood principle?

Published on 29 Apr 2026 - 12:24

279

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Show that the statistic $T(X)$ is complete.

Published on 10 May 2026 - 11:19

310

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Find the posterior density and compute the posterior mean.

Published on 10 May 2026 - 11:20

34

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uniform law on a subset of {0,1}^N

Published on 01 Apr 2026 - 16:42

146

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Show that the UMP test of size $\alpha = 1/3$ based on $X$ leads to rejecting $H_0$ when $X = 0$

Published on 10 May 2026 - 11:21

List Question

Is $\mathbb{P}(S_n/n>p+a)$ a decreasing function of n?

How many seats should be available such that the probability.. is less than $0.01$?

Closed-Form PDF of Sum of n Independent Rayleigh Random Variables

Probability of future success when trials are dependent: In 4 draws w/o replacement, what is the probability that draws 3 & 4 will be successful?

Derive unbiased estimator for $\theta$ when $X_i\sim f(x\mid\theta)=\frac{2x}{\theta^2}\mathbb{1}_{(0,\theta)}(x)$

Show that $\max(X_1,\ldots,X_n)$ is a sufficient statistic.

Find the density function of the sum $(X,X+Y)$.

Conditional density function with gamma and Poisson distribution

How do I calculate the nth-highest die, out of a collection of m identical dice?

How many independent measurement of CPU-time are required such that the difference $|\bar{X} - \mu|<0.1$ with probability $0.9$ at least?

Does this estimator respect the likelihood principle?

Show that the statistic $T(X)$ is complete.

Find the posterior density and compute the posterior mean.

uniform law on a subset of {0,1}^N

Show that the UMP test of size $\alpha = 1/3$ based on $X$ leads to rejecting $H_0$ when $X = 0$

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