作者kbamj (ya^^)
看板Statistics
標題[問題] 有關Poisson分配題目~
時間Fri Apr 14 17:53:07 2006
麻煩各位了~有一小題不太了解~
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?
這題我想是把λ=5.2/min轉成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?
這題就把上題θ,用指數分配,然後積分範圍0~10?
3.What is the distribution of the time taken for 10 calls to arrive at
the switchboard?
他說10calls時間分配分部?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?
這題單純算P(X<5) X=到達calls數 用Poisson?
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抱歉題目有點多,寫的點亂~
希望各位能不厭其煩幫我解答^^看哪裡要修正~或是怎麼解~
感謝^^
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