作者LiamIssac (Madchester)
站内Statistics
标题Re: [问题] 机率问题 (扑克牌 乐透 poisson)
时间Sat Oct 29 08:42:38 2011
※ 引述《o5515334 (无)》之铭言:
: 如果是跟统计软体有关请重发文章
: 如果跟论文有关也烦请您重发文章
: 文章类别是为了帮助大家搜寻资料与解答,造成不便之处请见谅
: 题目如下
: (1). 一副牌共52张,4个花色,每个花色有13张牌,现在抽取2张且抽後不放回
: 试问第一张为10且第二张是5或6的机率为何?
: 我的作法是这样 [( C4取1 )*( C8取2 )]/(C52取2)=0.024
: 这样做法正确吗?
: (2). 另外在复回归分析中,若X1变数的B值显着,指在母体中X1变数的B值大体上不会是0
: 这句话有错吗?
: (3). 还有乐透包牌的问题(42选6),若包8个号码,中头奖的机率应该怎麽算呢?
: (4). 最後是关於poisson分配,为什麽在极短时间间隔或区域内,
: 特定事件发生超过一次之机率要忽略不计?
I assume you were talking about Poisson Process, since you mentioned "time"
==> P{N(h)>1} = o(h)
By definition and letting u be the parameter,
P{N(h)=0} = e^(-uh) = 1 - uh + o(h)
P{N(h)=1} = uh*e^(-uh) = uh + o(h) (using Taylor's expansion, first order)
Then, P{N(h)>1} = 1 - P{N(h)=0} - P{N(h)=1} = o(h)
where o(h)/h -> 0 as h -> 0
(the decreasing rate of o(h) is faster than that of h)
Accordingly, you can use the above to show that the rate of occurance of
a Poisson Process in [t, t+h] is u, by letting h -> 0.
This implies a (standard) Poisson Process has "unit jump"
For random jump-size, you can refer to "Compound Poisson Process."
: 谢谢热心回答的人~!感激不尽!
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1F:推 o5515334:thanks a lot 10/29 19:24