问题 问答题

已知随机变量X与Y相互独立且都服从参数为

的0-1分布,即PX=0=PX=1=

,PY=0=PY=1=

,定义随机变量

求Z的分布;(X,Z)的联合分布;并问X与Z是否独立.

答案

参考答案:由于(X,Y)是二维离散随机变量,故由边缘分布及相互独立可求得联合分布;应用解题一般模式,即可求得Z及(X,Z)的分布,进而判断X、Z是否独立.
由题设知

,将其写成矩阵形式,求Z、(X,Z)的分布:



,故X与Z独立.

填空题
完形填空

Peter Fern was crazy about mountains. Climbing was the  1 of his life. Church towers,seaside cliffs, rock faces, ice mountains,anything “If it is there” , he used to say, “then I want to climb it.”

So the news of his marriage gave me a   2 . I’d never known him to take much interest in   3 . Well,Peter Fern a married man! I couldn't  4 it. I  5 whether his wife would try to stop some of his risky   6 .

She was French perhaps--from that place   7 he usually spent his holidays. Chamonix,wasn’t it? From Chamonix he'd climbed Mount Blanc on his seventeenth birthday, and another one the day after! That was it, then: She was French,from a mountaineering family. No  8 . No other explanation.

A month later I met them  9 in town. Anna surprised me—because she was English. She was a dancer in the   10

“I have   11 climbed more than sixty steps in my life,” she told me. “Peter has his   12 , and I’ve got mine. No   13 ”. “None at all,”Peter said, smiling. “Where did you spend your   14 ?” I askeD.Somewhere far  15 theatres and mountains,was it? “We had a week's holiday,” Anna said, “I flew to New York to see Dirke Dancers on Broadway. A wonderful  16 !” Peter said, “I didn’t want to   17 the good weather. So I went to Switzerland and climbed the north   18 of the Eiger with Allen Dunlop. Great   19 , the Eiger. Grand place for a honeymoon! I’ll show you the   20 we took one day.”

1. A.purpose                B.love                  C.answer                  D.even

2. A.joy                       B.thought              C.lesson                   D.shock

3. A.mountains             B.churches            C.faces                    D.girls

4. A.accept                  B.understand         C.bear                     D.tell

5. A.believed               B.knew                 C.wondered              D.realized

6. A.jobs                     B.words                C.adventures            D.deeds

7. A.where                   B.when                 C.which                   D.how

8. A.one                      B.reason               C.sign                      D.doubt

9. A.all                    B.two                   C.both                     D.double

10.A.family              B.mountain           C.theatre                  D.holiday

11.A.ever                    B.even                  C.never                    D.almost

12.A.interests               B.life                    C.room                    D.car

13.A.wonder            B.way                   C.time                     D.problems

14.A.days                    B.honeymoon        C.childhood             D.rest of life

15.A.away                   B.as                      C.by                        D.from

16.A.show                   B.sight                  C.scene                    D.game

17.A.miss                    B.escape               C.break                    D.forget

18.A.position               B.face                   C.point                    D.line

19.A.programme          B.progress             C.fun                       D.invention

20.A.photographs         B.roles                  C.sports                   D.pains