請教一機率難題

看板Prob_Solve作者 (漂浪者)時間15年前 (2009/02/14 10:20), 編輯推噓2(204)
留言6則, 2人參與, 最新討論串1/1
Ten hutners are waiting for ducks to fly by. When a flock of ducks flies over-head, the hunters fire at the same time, but each chooses his target at random, independently of the others. If each hunter independently hits his target with probability 0.6, compute the expected number of ducks that are hunt. Assume that the number of ducks in a flock is a Poisson random variable with mean 6. 懇請賜教 -- -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 74.192.199.104

02/14 17:16, , 1F
跑錯板了…但給個提示,請用條件期望值的期望值。
02/14 17:16, 1F

02/15 00:26, , 2F
36隻?
02/15 00:26, 2F

02/15 00:29, , 3F
關鍵字 RANDOM SUM 我只會用mgf解 條件機率解法忘了
02/15 00:29, 3F

02/15 00:30, , 4F
就想像有一台交換機 撥進來的就是鴨子 10個接線生
02/15 00:30, 4F

02/15 00:30, , 5F
可能恍神 只有六成的來電會被接聽
02/15 00:30, 5F

02/15 00:31, , 6F
T_T queueing 還給老師了
02/15 00:31, 6F
文章代碼(AID): #19bYg9Pg (Prob_Solve)