设随机变量x~b(3,1/2),求x的分布函数 设随机变量X B(3,1/2)求X的分布函数

\u8bbe\u968f\u673a\u53d8\u91cfx~b(3,1/2),\u6c42x\u7684\u5206\u5e03\u51fd\u6570f(x)

\uff081\uff09\u56e0\u4e3aF\uff08x\uff09\u8fde\u7eed\uff0c\u6240\u4ee5limx\u21920+F(x)\uff1dF(0)\u6709\uff1a1+B=0\uff0c\u5373\uff1aB=-1\uff082\uff09\u7531\u4e8eF(X)\uff1d1?e?x\uff0c x\u226500 \uff0c x\uff1c0\uff0c\u6545\u6709F\uff08-2\uff09=0\uff0cF\uff081\uff09=1-e-1P\uff08-2\uff1cX\uff1c1\uff09=F\uff081\uff09-F\uff08-2\uff09=1-e-1\uff083\uff09\u7531\u4e8eF(X)\uff1d1?e?x\uff0c x\u226500 \uff0c x\uff1c0\u6545\uff1af\uff08x\uff09=e?x \uff0c x\u226500 \uff0c x\uff1c0E\uff08\u3002

\u4f60\u597d\uff01\u7b54\u6570\u5982\u56fe\uff0c\u5148\u5199\u51fa\u6982\u7387\u8868\u518d\u5199\u51fa\u5206\u5e03\u51fd\u6570\u3002\u7ecf\u6d4e\u6570\u5b66\u56e2\u961f\u5e2e\u4f60\u89e3\u7b54\uff0c\u8bf7\u53ca\u65f6\u91c7\u7eb3\u3002\u8c22\u8c22\uff01

你好！先如图写出概率表，再求出分布函数。经济数学团队帮你解答，请及时采纳。谢谢！

你好！答数如图，先写出概率表再写出分布函数。经济数学团队帮你解答，请及时采纳。谢谢！

璁鹃殢鏈哄彉閲廥-b(3,0.2)鍒橠(X)=
绛旓細D(X)=np锛1-p锛=3*0.2*(1-0.2)=0.48 瑙ｉ鎬濊矾锛氱敱浜嶺-B(3,0.2)鏈嶄粠浜岄」鍒嗗竷锛屾墍浠=3锛宲=0.2 鎵浠ワ紝D(X)=np锛1-p锛=3*0.2*(1-0.2)=0.48 濡傛灉X-B(n,p)锛堜篃灏辨槸璇达紝X鏄湇浠庝簩椤瑰垎甯冪殑闅忔満鍙橀噺锛夛紝閭ｄ箞X鐨鏂瑰樊D(X)=np锛1-p锛夈

璁鹃殢鏈哄彉閲廥锝b(3,0.2),鍒橮(X鈮1)=(?)閫夋嫨棰樻眰绛旀!!
绛旓細绛旀鏄疌锛屼笅鍥炬槸璁＄畻杩囩▼銆傜粡娴庢暟瀛﹀洟闃熷府浣犺В绛旓紝璇峰強鏃堕噰绾炽傝阿璋紒

璁鹃殢鏈哄彉閲廥~B(3,0.3),涓擸=X^2,鍒橮{Y=4}=
绛旓細P{X=i}=(3Ci)(0.3^i)(1-0.3)^i (i=0,1,2,3)姒傜巼鍒嗗竷濡備笅 X | 0 1 2 3 P | 0.343 0.441 0.189 0.027 Y=X^2=4 鍗砐=2 ,P{Y=4}= P{X=2}=0.189

璁鹃殢鏈哄彉閲廥~B(3,0.2),浠=X^2,鍒橮(Y=4)=___.姹傝缁嗚В绛旇繃绋嬨俖鐧惧害鐭 ...
绛旓細x鏈嶄粠浜岄」鍒嗗竷锛氭墍浠锛圷=4锛=P锛坸=2锛=3*0.2²*0.8=0.096

璁鹃殢鏈哄彉閲廥~B(3,0.4),姹侾{X鈮1}
绛旓細X灞炰簬n锛3,p锛0.4鐨勪簩椤瑰垎甯冿紝鎵浠{X锛0}锛0.6^3锛0.216 P{X鈮1}锛1-P{X锛0}锛0.784 鍥炵瓟瀹屾瘯姹傞噰绾

鏂扮紪姒傜巼璁哄拰缁熻绗簩鐗 璁鹃殢鏈哄彉閲廥~B(2,P),Y~B(3,P),涓斿凡鐭(X鈮1...
绛旓細绠鍗曡绠椾竴涓嬪嵆鍙紝绛旀濡傚浘鎵绀

璁鹃殢鏈哄彉閲廥鏈嶄粠涓ょ偣鍗X~B(1,P),X1,X2,...,Xn鏄潵鑷猉鐨涓涓牱鏈眰(1...
绛旓細锛坙nL锛夆=-锛坣-危锛1锛n锛夛紛xi锛/锛1-P锛+锛埼ｏ紙1锛宯锛夛紛xi锛/P=0 瑙ｅ緱EX=P=锛X涓婃柟涓妯級锛3锛夊洜涓篍锛圶涓婃柟涓妯級=EX1=P锛屾墍浠ワ紝涓ょ浼拌閮芥槸P鐨勬棤鍋忎及璁°傛ц川锛氱煩浼拌鏄埄鐢ㄦ牱鏈煩鏉ヤ及璁℃讳綋涓浉搴旂殑鍙傛暟銆傞鍏堟帹瀵兼秹鍙婄浉鍏冲弬鏁扮殑鎬讳綋鐭╋紙鍗虫墍鑰冭檻鐨闅忔満鍙橀噺鐨勫箓鐨勬湡鏈涘硷級鐨勬柟绋...

璁鹃殢鏈哄彉閲弜~b(n,p),p={x=k}=?,k=0,1,2...
绛旓細浜岄」鍒嗗竷锛孹~b(n锛宲)锛屽垯 P(X=k)=C(n,k)路p^k路(1-p)^(n-k)鍏朵腑锛孋(n,k)鏄粠n涓厓绱犱腑鍙杒涓殑缁勫悎鏁般

璁鹃殢鏈哄彉閲弜~B(2,p),y~B(4,p),宸茬煡p(x>=1)=8/9,鍒檖(y>=1)=?姹傝_鐧 ...
绛旓細2016-05-01 闅忔満鍙橀噺X~b(2,p),Y~b(3,p),骞朵笖宸茬煡P(X<... 1 2015-02-04 璁鹃殢鏈哄彉閲廥锝濨(2,p),Y锝濨(3,p),鑻(X鈮1)... 1 2018-08-19 璁鹃殢鏈哄彉閲廥锝濨(2,p),Y锝濨(3,p),鑻(X=0)... 2014-06-15 闅忔満鍙橀噺X~B(2,p),Y~B(4,p),鑻(X>=1)... 2018-01-09 璁鹃殢...

璁鹃殢鏈哄彉閲弜~B(1,p) (0<p<1),Y涓鸿繛缁殢鏈哄彉閲,涓擷,Y鐩镐簰鐙珛,鍒欎互涓嬫 ...
绛旓細A. P{XY=0}鈮{X=0}=1-p>0,鎵浠ラ敊璇侭. P{XY=1}=P{X=1,Y=1}=P{X=1}*P{Y=1}=0锛屽洜杩炵画鍨嬮殢鏈哄彉閲忓湪鏌愪竴鐐圭殑姒傜巼涓0. 姝ら」姝ｇ‘銆傝孹Y鏃笉鏄鏁ｅ瀷闅忔満鍙橀噺锛涔熶笉鏄繛缁瀷闅忔満鍙橀噺銆傚洜涓篨=0鏃讹紝XY鏄竴涓父閲忥紝鑰屽綋X=1鏃讹紝XY鏄涓涓繛缁瀷闅忔満鍙橀噺銆

扩展阅读：www.sony.com.cn ... x e 1 ... 设随机变量x～u(0 ... 设随机变量x n 1 2 ... 1) ... 设随机变量x b 4 0.2 ... 设随机变量x n 3 4 ... 设随机变量x n 4 1 ... 设随机变量x服从b 2 p ...