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Binomial

Binomial

(Science: mathematics) An expression consisting of two terms connected by the sign plus (_) or minus; as, a_b, or 7-3.

Origin: L. Bis twice _ nomen name: cf. F. Binome, LL. Binomius (or fr. Bi- _ gr. Distribution ?). Cf. Monomial.

1. Consisting of two terms; pertaining to binomials; as, a binomial root.

2. Having two names; used of the system by which every animal and plant receives two names, the one indicating the genus, the other the species, to which it belongs.

(Science: mathematics) binomial theorem, the theorem which expresses the law of formation of any power of a binomial.


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Probability Genetics question

... for bbbb. But for others, it changes: For example for 1 g and 3 b its: gbbb: 6.25 % bgbb: 6.25 % bbgb: 6.25 % bbbg: 6.25 % Total: 25 % As using binomial expansion it's: (g+b)^4 = g^4 + 4(g^3)b + 6(g^2)(b^2) + 4g(b^3) + b^4 2 boys and 2 girls = 6(g^2)(b^2) = 6 x 1/4 x 1/4 = 0.375 which is 37.5% ...

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by DRT23
Sat Feb 26, 2011 8:43 pm
 
Forum: Genetics
Topic: Probability Genetics question
Replies: 2
Views: 2474

Probability Genetics question

... four children can we expect to have two boys and two girls? I know its a 50% chance of each (for the purposes of this problem). I am asked to use binomial expansion to solve. I underlined the percentage of families because that is where it differs from all the other problems I've encountered thus ...

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by LaraGardner
Mon Jan 31, 2011 11:54 pm
 
Forum: Genetics
Topic: Probability Genetics question
Replies: 2
Views: 2474

Re: Biology statistics problem: binomial with non-constant p

Jack, each event has a different p.

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by jonnybgood
Thu Aug 26, 2010 3:51 pm
 
Forum: Bioinformatics
Topic: Biology statistics problem: binomial with non-constant p
Replies: 4
Views: 3406

Re: Biology statistics problem: binomial with non-constant p

I did a poor job of explaining myself. Suppose 100 events/trials, each with a different (and known) frequency of success (p). I want to calculate the probabilities of the 100 trials resulting in 0 total succesful trials, 1 total successful trial, 2, 3, ... 99, and 100 total successful trials.

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by jonnybgood
Thu Aug 26, 2010 4:42 am
 
Forum: Bioinformatics
Topic: Biology statistics problem: binomial with non-constant p
Replies: 4
Views: 3406

Biology statistics problem: binomial with non-constant p

... to increase by half an hour, which is unacceptable. That's when I started looking into trying to calculate this curve. From what I've read, the binomial distribution is clearly what I want, except for one thing, it assumes p is constant. In my problem, every p is different. Is this possible ...

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by jonnybgood
Wed Aug 25, 2010 6:34 am
 
Forum: Bioinformatics
Topic: Biology statistics problem: binomial with non-constant p
Replies: 4
Views: 3406
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