作者silent217 (沈静的心)
看板Math
标题[机统] 二项分配
时间Wed May 25 23:24:49 2011
A packet consisting of a string of n symbols is transmitted over a noisy
channel. Each symbol has probability p =0.0001 of being transmitted in error,
independently of errors in the other symbols. How small should n be in order
for the probability of incorrect transmission(at least one symbol in error)
to be less than 0.001?
这是某年台大电机研究所的考题,被学校老师拿来当期中考考题,请客位高手大大可
帮小弟我写出详解,资质不好,请各位考手可以不吝色赐教,小弟百般感谢!!
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1F:→ yhliu :求 n 的界限, 使 binomial(n,0.0001) 之随机变数 X 05/26 00:17
2F:→ yhliu :满足 P[X>0] < 0.001. 用 Poisson 分布近似之. 05/26 00:17