Re: [商管] [統計]-機率分配
※ 引述《jusimi (Jusimi)》之銘言:
: Let X equal the number of clients enters a store every 15minutes.
: Assume that X has a Poisson distribution with mean 5.
: Let W equal the time in minutes
: between two clients’ arrival.
: Find the median time of W is?
: 請問有人會這一題嗎? 先謝謝各位高手了!!
X~poi(λ=5) 每15分鐘 = X~poi(λ=1/3) 每1分鐘
期望次數跟區間長度成正比
X~poi(λ=1/3) = W~exp(β=3) β=1/λ
the median time of W 應該是問指數分配W的中點吧(?)
P(W > T) = P(W < T) 或是 (W > T) = 1/2
等式解T
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