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Five people gets on an elevator on the first floor of an 11-story building. Assume that each person selects a destination floor from 10 possible floors (i.e. from 2 to 11) uniformly and independently of others. Also, assume that no people get on the elevator above the first floor. Let S be the expected number of stops this elevator makes above the first floor, and Z be the sum of all digits(including all decimal places) in S. Then which of the following statements is true (A) 15 <=Z<= 19 (B) 19 <=Z<= 22 (C) 22 <=Z<= 24 (D) 24 <=Z<= 25 (E) none of the above ----------------------------------------------------------------------------- 我看答案上面寫的是 (B) ,然後詳解寫 10/5 + 9/4 + 8/3 + 7/2 + 6/1 = 16.4 Z = 20 請問一下這算法是幾何分佈的嗎 ? 為什麼阿? 這題有沒有人可以詳細解說一下, 謝謝了 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.246.12.73
ice80712:(1-(0.9)^5)*11=4.50461 Z=4+5+0+4+6+1=20 01/14 19:25
ice80712:我自己的算法是這樣 01/14 19:25
freedomku:請問可以解釋一下您的算法嗎 01/14 23:58
ice80712:先算每一層電梯停下來的機率 01/15 00:31