Question

Let $X$ be a Binomial Random Variable with parameters $n$ and $0<p<1$. Show that $\lim\limits_{n\to\infty} E(1+X)\cdot E\Big(\frac{1}{1+X}\Big)=1$

score 89 · Answer 1 · 2016-11-24 16:30:46

89

Views

Let $X$ be a Binomial Random Variable with parameters $n$ and $0<p<1$. Show that $\lim\limits_{n\to\infty} E(1+X)\cdot E\Big(\frac{1}{1+X}\Big)=1$

Published on 24 Nov 2016 - 16:30

score 947 · Answer 2 · 2016-11-25 09:07:19

947

Views

A more general Poisson Binomial Distribution

Published on 25 Nov 2016 - 9:07

score 51 · Answer 3 · 2016-11-28 17:53:10

51

Views

If X is binomially distributed, show that the largest maximum chance is equal to \Floor{np+p}

Published on 28 Nov 2016 - 17:53

score 421 · Answer 4 · 2026-02-23 03:00:00

421

Views

Coupling showing that $\operatorname{Bin}(n,\frac{1}{n+1})$ stochastically dominates $\operatorname{Bin}(n-1,\frac{1}{n})$

Published on 23 Feb 2026 - 3:00

score 676 · Answer 5 · 2016-12-03 14:14:58

676

Views

Attempting to model the time distribution of earthquakes

Published on 03 Dec 2016 - 14:14

score 60 · Answer 6 · 2016-12-03 18:12:24

60

Views

Binomial Distribution: Methods of Computation

Published on 03 Dec 2016 - 18:12

score 6k · Answer 7 · 2026-03-28 17:41:56

6k

Views

Chi-squared goodness-of-fit test whether the data follows binomial distribution

Published on 28 Mar 2026 - 17:41

score 2k · Answer 8 · 2016-12-04 04:00:20

2k

Views

Prob. 24, Random Variables and their distribution - Blitzstein and Hwang

Published on 04 Dec 2016 - 4:00

score 932 · Answer 9 · 2026-03-28 17:38:56

932

Views

Hypothesis test for a population proportion

Published on 28 Mar 2026 - 17:38

score 4.6k · Answer 10 · 2016-12-04 19:08:27

4.6k

Views

Probability of defective items: probability approximation

Published on 04 Dec 2016 - 19:08

score 109 · Answer 11 · 2026-03-28 11:34:25

109

Views

10 independent observations are chosen at random from an exponential distribution with mean 1.

Published on 28 Mar 2026 - 11:34

score 84 · Answer 12 · 2016-12-06 11:21:44

84

Views

Some Random variables proofs.

Published on 06 Dec 2016 - 11:21

score 116 · Answer 13 · 2026-03-25 12:54:29

116

Views

$\lim_{N\rightarrow\infty}\left< \psi{\left(N_k+1\right)} - \psi{\left(N_j+1\right)} \right >$

Published on 25 Mar 2026 - 12:54

score 882 · Answer 14 · 2026-02-24 12:57:28

882

Views

Estimating the number of coin flips, knowing the probability $p$ getting head and the number of heads

Published on 24 Feb 2026 - 12:57

score 908 · Answer 15 · 2016-12-10 00:28:26

908

Views

Probability mass function of a discrete random variable

Published on 10 Dec 2016 - 0:28

List Question

Let $X$ be a Binomial Random Variable with parameters $n$ and $0<p<1$. Show that $\lim\limits_{n\to\infty} E(1+X)\cdot E\Big(\frac{1}{1+X}\Big)=1$

A more general Poisson Binomial Distribution

If X is binomially distributed, show that the largest maximum chance is equal to \Floor{np+p}

Coupling showing that $\operatorname{Bin}(n,\frac{1}{n+1})$ stochastically dominates $\operatorname{Bin}(n-1,\frac{1}{n})$

Attempting to model the time distribution of earthquakes

Binomial Distribution: Methods of Computation

Chi-squared goodness-of-fit test whether the data follows binomial distribution

Prob. 24, Random Variables and their distribution - Blitzstein and Hwang

Hypothesis test for a population proportion

Probability of defective items: probability approximation

10 independent observations are chosen at random from an exponential distribution with mean 1.

Some Random variables proofs.

$\lim_{N\rightarrow\infty}\left< \psi{\left(N_k+1\right)} - \psi{\left(N_j+1\right)} \right >$

Estimating the number of coin flips, knowing the probability $p$ getting head and the number of heads

Probability mass function of a discrete random variable

Trending Questions

Popular # Hahtags

Popular Questions