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发帖数: 189 | 1 题有点长， 万分感谢
Assume that we have a group of n+1 people sitting around a round table.
Assume that there is a token circulated along the round table, and a person
can speak only if he/she obtain the token. We assume that the time that a
person can hold the token, once receiving it, is exponentially distributed
with the mean value of x seconds. At the end of this time, the token then
has to be passed in the clockwise or counterclockwise direction with the
same probablility (i.e. 50%) to the neighboring person. Assume that every
people always have something to speak. Assume that the token is initially at
person 0.
1. What is the probability that person i, (i=1,2,...,n) is the last person
that start speaking
2. What is the expected time required such that person i, (i=1,2,...,n) can
speak the first time? |
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