List questions from binomial-distribution

93

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If $X$ is an observation from a $\text{Binom}(n, p)$, with $0 < p < 1$, how to find the UMVUE of $p^2$, and does it reach the Cramer-Rao lower bound?

Published on 14 Dec 2021 - 3:39

399

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Calculate the following limit using the Central Limit Theorem

Published on 03 Apr 2026 - 10:04

107

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A question about Central Limit Theorem and the calculation of a limit.

Published on 03 Apr 2026 - 11:32

249

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Eigenvectors of Stochastic Matrix

Published on 26 Mar 2026 - 11:07

94

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Probability of probability confusion

Published on 03 Apr 2026 - 14:23

55

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Calculate the coefficient at $^3^4^5$ in decomposition $( + − )^{12}$

Published on 21 Dec 2021 - 23:41

33

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probability winning game with changing winning conditions

Published on 22 Dec 2021 - 20:41

80

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What is the name of the random variable $X$ with distribution $\mathbb P(X = i) = {n-i \choose k-1}/{n \choose k}$?

Published on 23 Dec 2021 - 22:21

66

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Why don't we reparametrize the Beta so its parameters represent number of heads and tails?

Published on 28 Mar 2026 - 12:49

96

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Contradiction between me and my professor solution in normal app. to binomial

Published on 28 Dec 2021 - 9:05

1.1k

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Confidence Interval for the product of heads and tails in 100 coin flips

Published on 26 Feb 2026 - 9:24

25

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Binomial probabilities and limits

Published on 01 Jan 2022 - 10:59

45

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Name of this probability distribution

Published on 02 Jan 2022 - 7:34

52

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Two consecutive zeros in Poisson random variables, and consecutive wins in a binomial setting

Published on 04 Jan 2022 - 13:10

47

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conditional expected number of success interpretation

Published on 04 Jan 2022 - 23:56

List Question

If $X$ is an observation from a $\text{Binom}(n, p)$, with $0 < p < 1$, how to find the UMVUE of $p^2$, and does it reach the Cramer-Rao lower bound?

Calculate the following limit using the Central Limit Theorem

A question about Central Limit Theorem and the calculation of a limit.

Eigenvectors of Stochastic Matrix

Probability of probability confusion

Calculate the coefficient at $^3^4^5$ in decomposition $( + − )^{12}$

probability winning game with changing winning conditions

What is the name of the random variable $X$ with distribution $\mathbb P(X = i) = {n-i \choose k-1}/{n \choose k}$?

Why don't we reparametrize the Beta so its parameters represent number of heads and tails?

Contradiction between me and my professor solution in normal app. to binomial

Confidence Interval for the product of heads and tails in 100 coin flips

Binomial probabilities and limits

Name of this probability distribution

Two consecutive zeros in Poisson random variables, and consecutive wins in a binomial setting

conditional expected number of success interpretation

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