[問題]gamma distribution

看板Statistics作者時間16年前 (2008/04/20 16:52), 編輯推噓0(000)
留言0則, 0人參與, 最新討論串1/1
As part of a grand opening promotion, a department store has advertised that every 1000th purchase made on opening day will be given to the customer for free. The store expects 5 purchases to be made every minute. Let X be the time (in minutes) from opening until the first free purchase is given away. Ans: X ~ Gamma(a, l) with a=1000 and l=5. (An alternative answer that is acceptable is Exponential(l) with l=1/(1000/5)=1/200.) 答案 X ~ Gamma(a, l) with a=1000 and l=5 是以1人0.2分鐘來看 請問若我以5人為一單位 那麼X~Gamma(200,1) 但為什麼不行呢? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 123.195.50.65

04/18 23:01, , 1F
以5個人為單位時 每個單位應該是服從 Gamma(5,5)
04/18 23:01, 1F

04/18 23:19, , 2F
對啊 5人單位 並不服從 Exp(1) 而是服從 Gamma (5,5)
04/18 23:19, 2F

04/19 12:53, , 3F
抱歉 還是不懂 5人為一單位 那X表一單位要等幾分鐘
04/19 12:53, 3F

04/19 12:54, , 4F
為何X~Exp(1)是不對的??
04/19 12:54, 4F
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文章代碼(AID): #182mHY00 (Statistics)