题目

Directions: Read the following passage. Summarize the main idea and the main points of the passage in no more than 60 words. Use your own words as far as possible.In schools and at home, most of us have been scolded or even got punished for daydreaming. The majority of people say that by daydreaming we waste our time and energy on something unproductive. But many medical studies have shown something different. They’ve stressed the fact that daydreaming works wonders on our imagination, creativity and situation-handling techniques. In fact, many problems can be easily solved if we daydream.Th甲、乙两人进行围棋比赛，约定每局胜者得1分，负者得0分，比赛进行到有一人比对方多2分或下满6局时停止．设甲在每局中获胜的概率为p（p＞12），且各局胜负相互独立．已知第二局比赛结束时比赛停止的概率为59．（1）求p的值；（2）设ξ表示比赛停止时已比赛的局数，求随机变量ξ的分布列和数学期望Eξ．