Statistics - Poisson

2009-09-26 1:12 am

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想問d part應該點計?請詳細解釋題目及解法~

回答 (2)

2009-09-26 8:23 pm
✔ 最佳答案
(b) X~Poi(λ)λ=1.3 calls/min.
P(X=0)=e^(-1.3)=0.2725
(c) P(X>=3)=1-P(X=0)-P(X=1)-P(X=2)=1-0.2725-0.3543-0.2303
=0.1429
(d) Notice that P(X=8)=5.5137*10^(-5)<0.0001
So the maximum number of hone calls is 7
2009-09-26 2:20 am
設該最大數為 N,即有
P(0) +P(1) + ... + P(N-1) < 99.99%
P(0) +P(1) + ... + P(N) > = 99.99%
如果只是估算,即有
P(N+1) < (1 -99.99%) = 0.0001
P(N) > = 0.0001
所以可設
P(x) = 0.0001
即有
N = [x]+1


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