4.10 Binomial Distribution B(n,p)
Binomial Distribution 二項(xiàng)分布
二項(xiàng)分布成立的4個(gè)條件(BINS):

滿(mǎn)足二項(xiàng)分布4個(gè)條件(BINS)的?game(experiment)?


Let's Toss a Coin!
Toss a fair coin?three times?... what is the chance of getting exactly?two Heads?
Using?H?for heads and?T?for Tails we may get any of these 8?outcomes:
n=3?number of trials
?probability of successes







問(wèn)題:
根據(jù)遺傳學(xué),孩子們從父母那里得到的基因在每個(gè)孩子之間是獨(dú)立的。一組特定父母的每個(gè)孩子都有0.25的概率是O型血。假設(shè)父母有5個(gè)孩子。X=O型血的孩子的數(shù)量。
求:P(X=3) 并解釋這個(gè)值。


用“公式”再理性看一下文初的問(wèn)題吧:





Binomial distribution for?p=0.5with?n?and?k?as in?Pascal's triangle
Reference:?
https://en.wikipedia.org/wiki/Binomial_distribution
https://www.mathsisfun.com/data/binomial-distribution.html
標(biāo)簽: