[商管] [統計]-東吳93-財務工程與精算數學-指數

[jackoyu (偉下列資料正確填寫並回숩]

An insurance company sells an auto insurance policy. The claim size is an

exponential random variable with mean two thousand dollars.


a) What is the probability that the average of two claims is over two

   thousand dollars?


請問這題是要算什麼? 可否賜教，多謝!

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※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 140.122.140.126
推 solaarr:P(Y>2000), Y~Gamma(a=2,入=4000) ..@@應該吧..
→ solaarr:上面想錯..= =  sorry
推 ksherry:P[(X1+X2)/2 > 2000 ]  X1,X2~指數(浪打= 2000)
→ ksherry:利用可加性可乘性 導出新分配Y~gamma (2,4000)求P Y>4000
→ ksherry:                                      2000)