【正文】 廠產(chǎn)品占 20%，甲、乙、丙廠產(chǎn)品的合格率分別為 90%,85%,80%，求買到一個熱水瓶是合格品的概率． 解： 設(shè) 1 產(chǎn)品由甲廠生產(chǎn)?A 2 產(chǎn)品由乙廠生產(chǎn)?A 3 產(chǎn)品由丙廠生產(chǎn)?A 產(chǎn)品合格?B )|()()|()()|()()( 332211 ABPAPABPAPABPAPBP ??? ??????? 5. 某射手連續(xù)向一目標(biāo)射擊，直到命中為止．已知他每發(fā)命中的概率是 p ，求所需設(shè)計次數(shù) X 的概率分布． 解： PXP ?? )1( PPXP )1()2( ??? PPXP 2)1()3( ??? ???? PPkXP k 1)1()( ???? 12 ???? 故 X 的概率分布是 ?????? ??????? ???? ? ppppppp k k 12 )1()1()1( 321 X 的概率分布為 0 1 2 3 4 5 60 1 0 15 0 2 0 3 0 12 0 1 0 03. . . . . . .??? ??? 試求 P X P X P X( ) , ( ) , ( )? ? ? ?4 2 5 3． 解： )4()3()2()1()0()4( ????????????????? XPXPXPXPXPXP )5()4()3()2()52( ??????????????? XPXPXPXPXP )3(1)3( ??????? XPXP X 具有概率密度 f x x x( ) ,? ? ????2 0 10 其它 試求 P X P X( ) , ( )? ? ?12 14 2． 解：412)()21( 210221021 ????? ???? xx dxdxxfXP 16152)()241( 1412141241 ?????? ?? xx dxdxxfXP 8. 設(shè) X f x x x~ ( ) ,? ? ???? 2 0 10 其它，求 E X D X( ), ( ) ． 解： 32322)()( 10310 ????? ?? ???? xx dxxdxxxfXE 21422)()( 10410 222 ????? ?? ???? xx dxxdxxfxXE 181)32(21)]([)()( 222 ????? xEXEXD 9. 設(shè) ),1(~ 2NX ，計算⑴ P X( . . )0 2 1 8? ? ；⑵ P X( )?0 ． 解： )(2)()() ()( ??????????????????? XPXP )(1) 1()0( ?????????? XPXP X X X n1 2, , ,? 是獨立同分布的隨機變量，已知 E X D X( ) , ( )1 1 2? ?? ?，設(shè) Xn Xiin? ??1 1，求E X D X( ), ( ) ． 解： )]()()([1)(1)1()(21211 nnni i XEXEXEnXXXEnXnEXE ????????????? ?? ???? nn1 )]()()([1)(1)1()( 2122121 nnni i XDXDXDnXXXDnXnDXD ????????????? ?? 13 222 11 ?? nnn ??? 以上內(nèi)容可能會有錯誤，歡迎指出 請您刪除一下內(nèi)容， O(∩ _∩ )O 謝謝?。。　?China39。s animation outpouring that are not to be missed. Let39。 violence, and lack of suitability for children39。s real name was Nasreddin. He was wise and witty and, more importantly, he had the courage to resist the exploitation of noblemen. He was also full of passion and tried his best to help poor people. Adventure of Shuke and Beita【舒克與貝塔】 Adventure of Shuke and Beita (Chinese: 舒克和貝塔 ) is a classic animation by Zheng Yuanjie, who is known as King of Fairy Tales in China. Shuke and Beita are two mice who don39。s contents on the st one wall of a white cloud cave in the mountains. He was then punished with guarding the book for life by the jade emperor for breaking heaven39。s natural scenery. Pleasant Goat and Big Big Wolf【喜洋洋與灰太狼】 Pleasant Goat and Big Big Wolf (Chinese:喜羊羊與灰太狼 ) is a Chinese animated television series. The show is about a group of goats living on the Green Pasture, and the story revolves around a clumsy wolf who wants to eat them. It is a popular domestic animation series and has been adapted into movies. Nezha Conquers the Dragon King（ Chinese: 哪吒鬧海） is an outstanding animation issued by the Ministry of Culture in 1979 and is based on an episode from the Chinese mythological novel Fengshen Yanyi. A mother gave birth to a ball of flesh shaped like a lotus bud. The father, Li Jing, chopped open the ball, and beautiful boy, Nezha, sprung out. One day, when Nezha was seven years old, he went to the nearby seashore for a swim and killed the third son of the Dragon King who was persecuting local residents. The story primarily revolves around the Dragon King39。s death. Through bravery and wit, Nezha finally broke into the underwater palace and successfully defeated him. The film shows various kinds of attractive sceneries and the traditional culture of China, such as spectacular mountains, elegant sea waves and exquisite ancient Chinese clothes. It has received a variety of awards. Havoc in Heaven The story of Havoc in Heaven（ Chinese: 大鬧天宮） is based on the earliest chapters of the classic story Journey to the West. The main character is Sun Wukong, aka the Monkey King, who rebels against the Jade Emperor of heaven. The stylized animation and drums and percussion acpaniment used in this film are heavily influenced by Beijing Opera traditions. The name of the movie became a colloquialism in the Chinese language to describe someone making a mess. Regardless that it was an animated film, it still became one of the most influential films in all of Asia. Countless cartoon adaptations that followed have reused the same classic story Journey to the West, yet many consider this 1964 iteration to be the most original, fitting and memorable, The Golden Monkey Defeats a Demon【金猴降妖】 The Golden Monkey Defeats a Demon (Chinese: 金猴降妖 ), also referred as The Monkey King Conquers the Demon, is adapted from chapters of the Chinese classics Journey to the West, or Monkey in the Western world. The fiveepisode animation series tells the story of Monkey King Sun Wukong, who followed Monk Xuan Zang39。s Film Festival Award in 1989. McDull【麥兜】 McDull is a cartoon pig character that was created in Hong Kong by Alice Mak and Brian Tse. Although McDull made his first appearances as a supporting character in the McMug ics, McDull has since bee a central character in his own right, attracting a huge following in Hong Kong. The first McDull movie McMug Story My Life as McDull documented his life and the relationship between him and his McMug Story My Life as McDull is also being translated into French and shown in 14 France. In this version, Mak Bing is the mother of McDull, not his father..