List questions from probability-distributions

Published on 21 Mar 2026 - 23:10

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

Published on 22 Mar 2026 - 14:12

630

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

Published on 22 Mar 2026 - 12:02

50

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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 24 Mar 2026 - 12:26

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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 20 Mar 2026 - 3:22

454

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

Published on 22 Mar 2026 - 2:58

87

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

Published on 22 Mar 2026 - 0:33

2.3k

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Conditional density function with gamma and Poisson distribution

Published on 23 Mar 2026 - 3:41

154

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

Published on 22 Mar 2026 - 13:56

92

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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 21 Mar 2026 - 20:18

134

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Does this estimator respect the likelihood principle?

Published on 22 Mar 2026 - 9:14

272

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

Published on 22 Mar 2026 - 1:38

303

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Find the posterior density and compute the posterior mean.

Published on 21 Mar 2026 - 23:52

32

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

Published on 21 Mar 2026 - 16:26

141

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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 21 Mar 2026 - 18:52

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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