Question

How is $\binom{2n}{n} \sum_{k=0}^{n}\binom{n}{k} \binom{n}{n-k}=(\binom{2n}{n})^{2}$

score 82 · Answer 1 · 2019-05-22 21:11:44

82

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How is $\binom{2n}{n} \sum_{k=0}^{n}\binom{n}{k} \binom{n}{n-k}=(\binom{2n}{n})^{2}$

Published on 22 May 2019 - 21:11

score 35 · Answer 2 · 2019-05-23 04:02:27

35

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Intuition behind why a binomial experiment has to have a fixed number trials

Published on 23 May 2019 - 4:02

score 619 · Answer 3 · 2019-05-23 06:34:01

619

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Difference between a binomial experiment and a Bernoulli Trial?

Published on 23 May 2019 - 6:34

score 77 · Answer 4 · 2019-05-23 22:52:28

77

Views

Suppose X is Binomial(3,1/2) and Y is Binomial(2,1/2). Let Z = 2X - 3Y. Assume X and Y are independent.

Published on 23 May 2019 - 22:52

score 31 · Answer 5 · 2019-05-24 02:31:17

31

Views

Finding probabilities in a binomial distribuion

Published on 24 May 2019 - 2:31

score 125 · Answer 6 · 2019-05-24 02:35:31

125

Views

Grade 12: Data Management; Probability/binomial distributions -Homework help needed

Published on 24 May 2019 - 2:35

score 1.4k · Answer 7 · 2026-03-25 18:04:39

1.4k

Views

Is a Beta distribution a continuous version of the Binomial Theorem?

Published on 25 Mar 2026 - 18:04

score 855 · Answer 8 · 2019-05-31 13:57:37

855

Views

Probability of the number of heads given a number of coin flips

Published on 31 May 2019 - 13:57

score 400 · Answer 9 · 2019-05-31 16:19:47

400

Views

Asymptotic Expansion for $\frac1{2^n}\sum_{k=1}^n\frac1{\sqrt{k}}\binom{n}{k}$

Published on 31 May 2019 - 16:19

score 564 · Answer 10 · 2019-06-01 11:15:18

564

Views

How many tuples of {$a, b, c, \ldots$} satisfy $a+b+c+\ldots \leq n$?

Published on 01 Jun 2019 - 11:15

score 372 · Answer 11 · 2026-03-25 09:39:43

372

Views

Bounding spectral norm of matrix of binomial entries with small probabilities

Published on 25 Mar 2026 - 9:39

score 1.2k · Answer 12 · 2019-06-05 19:09:48

1.2k

Views

Binomial to Poisson Approximation : Why does p have to be small

Published on 05 Jun 2019 - 19:09

score 86 · Answer 13 · 2019-06-06 12:02:11

86

Views

Interpretation of Binomial R.V. Proposition

Published on 06 Jun 2019 - 12:02

score 181 · Answer 14 · 2019-06-07 16:34:25

181

Views

Prove $\liminf \left(\frac{n!}{(n-k)! n^k}\right) = 1,\ k =$ constant.

Published on 07 Jun 2019 - 16:34

score 1.7k · Answer 15 · 2019-06-11 04:20:20

1.7k

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Binomial Probability Formula (inclusive?)

Published on 11 Jun 2019 - 4:20

List Question

How is $\binom{2n}{n} \sum_{k=0}^{n}\binom{n}{k} \binom{n}{n-k}=(\binom{2n}{n})^{2}$

Intuition behind why a binomial experiment has to have a fixed number trials

Difference between a binomial experiment and a Bernoulli Trial?

Suppose X is Binomial(3,1/2) and Y is Binomial(2,1/2). Let Z = 2X - 3Y. Assume X and Y are independent.

Finding probabilities in a binomial distribuion

Grade 12: Data Management; Probability/binomial distributions -Homework help needed

Is a Beta distribution a continuous version of the Binomial Theorem?

Probability of the number of heads given a number of coin flips

Asymptotic Expansion for $\frac1{2^n}\sum_{k=1}^n\frac1{\sqrt{k}}\binom{n}{k}$

How many tuples of {$a, b, c, \ldots$} satisfy $a+b+c+\ldots \leq n$?

Bounding spectral norm of matrix of binomial entries with small probabilities

Binomial to Poisson Approximation : Why does p have to be small

Interpretation of Binomial R.V. Proposition

Prove $\liminf \left(\frac{n!}{(n-k)! n^k}\right) = 1,\ k =$ constant.

Binomial Probability Formula (inclusive?)

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