作者kbamj (ya^^)
看板Statistics
标题[问题] 有关Poisson分配题目~
时间Fri Apr 14 17:53:07 2006
麻烦各位了~有一小题不太了解~
Calls arriving at a switchboard follow a Poisson process with parameter
λ=5.2 per minute.
1.What is the expected waiting time between the arrivals of two calls?
这题我想是把λ=5.2/min转成θ=23.6sec/2calls,算θ?
2.What is the probability that the waiting time between the arrivals of
two calls is less than 10 seconds?
这题就把上题θ,用指数分配,然後积分范围0~10?
3.What is the distribution of the time taken for 10 calls to arrive at
the switchboard?
他说10calls时间分配分部?不太了解~
4.What is the expectation of the time taken for 10 calls to arrive at
the switchboard?
10calls期望值?不太了解~
5.What is the probability that less than 5 calls arrive at the switchboard
during a 1-minute period?
这题单纯算P(X<5) X=到达calls数 用Poisson?
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抱歉题目有点多,写的点乱~
希望各位能不厌其烦帮我解答^^看哪里要修正~或是怎麽解~
感谢^^
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