概率论与数理统计括号里的一上一下各有数字的到底怎么算,举个例子。 概率论与数理统计中加号与并号的区别是什么
\u6982\u7387\u8bba\u4e0e\u6570\u7406\u7edf\u8ba1\u4e2d\uff0c\u4e00\u4e0b\u8fd9\u6761\u79ef\u5206\u8be5\u600e\u4e48\u7b97\u4f60\u597d\uff01\u7b54\u6848\u5982\u56fe\u6240\u793a\uff1a
\u5f88\u9ad8\u5174\u80fd\u56de\u7b54\u60a8\u7684\u63d0\u95ee\uff0c\u60a8\u4e0d\u7528\u6dfb\u52a0\u4efb\u4f55\u8d22\u5bcc\uff0c\u53ea\u8981\u53ca\u65f6\u91c7\u7eb3\u5c31\u662f\u5bf9\u6211\u4eec\u6700\u597d\u7684\u56de\u62a5\u3002\u82e5\u63d0\u95ee\u4eba\u8fd8\u6709\u4efb\u4f55\u4e0d\u61c2\u7684\u5730\u65b9\u53ef\u968f\u65f6\u8ffd\u95ee\uff0c\u6211\u4f1a\u5c3d\u91cf\u89e3\u7b54\uff0c\u795d\u60a8\u5b66\u4e1a\u8fdb\u6b65\uff0c\u8c22\u8c22\u3002XD\u5982\u679c\u95ee\u9898\u89e3\u51b3\u540e\uff0c\u8bf7\u70b9\u51fb\u4e0b\u9762\u7684\u201c\u9009\u4e3a\u6ee1\u610f\u7b54\u6848\u201d
\u533a\u522b\u5728\u4e8e\uff1a
1\u3001\u5728\u6982\u7387\u8bba\u4e2d\u7684\u52a0\u53f7\u6307\u7684\u662f\u4e00\u7ec4,\u4e5f\u5c31\u662f\u548c\u4e24\u4e2a\u96c6\u5408\u3002\u5f53\u8ba1\u7b97\u7684\u6982\u7387,\u6bd4\u5982p(A + B),\u52a0\u53f7\u4e5f\u53ef\u4ee5\u4f5c\u4e3a\u4e24\u4e2a\u4e8b\u4ef6\u548c\u4e8b\u4ef6\u3002
2\u3001\u548c\u4e8b\u4ef6,AUB\u8bf4\u8868\u793a,A\u548cB\u5f53\u4e14\u4ec5\u5f53\u81f3\u5c11\u6709\u4e00\u4e2a\u53d1\u751f,AUB\u4e8b\u4ef6\u53d1\u751f\u3002\u7ec4\u6210\u7684\u4e09\u79cd\u60c5\u51b5\uff1a
\uff081\uff09A\u3001B\u5c06\u4e0d\u4f1a\u53d1\u751f
\uff082\uff09A\u4e0d\u53d1\u751f,B\u53d1\u751f
\uff083\uff09AB\u53d1\u751f\u5728\u540c\u4e00\u65f6\u95f4\u3002
3\u3001\u52a0\u53f7\u7684\u89e3\u91ca\u4f60\u7684\u4e66\u4e0a\u5e94\u8be5\u4e5f\u6709\uff0c\u90a3\u5c31\u662f\u52a0\u6cd5\u516c\u5f0f\u3002\u8fd9\u6d89\u53ca\u5230\u4e86\u4ed6\u4eec\u4e4b\u95f4\u7684\u8054\u7cfb\uff1a
P\uff08AUB\uff09=P\uff08A\uff09+P\uff08B\uff09-P\uff08AB\uff09
\u6b64\u65f6A\u3001B\u4e3a\u4efb\u610f\u4e8b\u4ef6\u3002\u53ef\u4ee5\u5f97\u5230\uff1a
P(A)+P(B)=P(AUB)+P(AB)
\u53ef\u77e5P\uff08A\uff09+P\uff08B\uff09\u542b\u4e49\u4e3aAUB\u7684\u4e09\u79cd\u60c5\u51b5\u4e2d\u91cd\u590d\u52a0\u8fdb\u4e86\u4e86AB\u8fd9\u4e2a\u4e8b\u4ef6\uff0c\u4e5f\u5373P\uff08A\uff09+P\uff08B\uff09\u7684\u6700\u7ec8\u7b49\u4e8e\u4ee5\u4e0b4\u79cd\u60c5\u51b5\u6982\u7387\u4e4b\u548c\uff1a
\uff081\uff09A\u53d1\u751f\uff0cB\u4e0d\u53d1\u751f
\uff082\uff09B\u53d1\u751f\uff0cA\u4e0d\u53d1\u751f
\uff083\uff09AB\u90fd\u53d1\u751f
\uff084\uff09AB\u90fd\u53d1\u751f
\u6269\u5c55\u8d44\u6599\uff1a\u6982\u7387\u8bba\u4e0e\u6570\u7406\u7edf\u8ba1\u4e2d\u7684\u516c\u7406\u5316\u5b9a\u4e49\uff1a
\u8bbe\u968f\u673a\u5b9e\u9a8cE\u7684\u6837\u672c\u7a7a\u95f4\u4e3a\u03a9\u3002\u82e5\u6309\u7167\u67d0\u79cd\u65b9\u6cd5\uff0c\u5bf9E\u7684\u6bcf\u4e00\u4e8b\u4ef6A\u8d4b\u4e8e\u4e00\u4e2a\u5b9e\u6570P(A)\uff0c\u4e14\u6ee1\u8db3\u4ee5\u4e0b\u516c\u7406\uff1a
\uff081\uff09\u975e\u8d1f\u6027\uff1aP(A)\u22650\uff1b
\uff082\uff09\u89c4\u8303\u6027\uff1aP(\u03a9)=1\uff1b
\uff083\uff09\u53ef\u5217\uff08\u5b8c\u5168\uff09\u53ef\u52a0\u6027\uff1a\u5bf9\u4e8e\u4e24\u4e24\u4e92\u4e0d\u76f8\u5bb9\u7684\u53ef\u5217\u65e0\u7a77\u591a\u4e2a\u4e8b\u4ef6A1\uff0cA2\uff0c\u2026\u2026\uff0cAn\uff0c\u2026\u2026\uff0c\u6709
\uff0c\u5219\u79f0\u5b9e\u6570P(A)\u4e3a\u4e8b\u4ef6A\u7684\u6982\u7387\u3002
\u7edf\u8ba1\u5b9a\u4e49
\u8bbe\u968f\u673a\u4e8b\u4ef6A\u5728n\u6b21\u91cd\u590d\u8bd5\u9a8c\u4e2d\u53d1\u751f\u7684\u6b21\u6570\u4e3anA\uff0c\u82e5\u5f53\u8bd5\u9a8c\u6b21\u6570n\u5f88\u5927\u65f6\uff0c\u9891\u7387nA/n\u7a33\u5b9a\u5730\u5728\u67d0\u4e00\u6570\u503cp\u7684\u9644\u8fd1\u6446\u52a8\uff0c\u4e14\u968f\u7740\u8bd5\u9a8c\u6b21\u6570n\u7684\u589e\u52a0\uff0c\u5176\u6446\u52a8\u7684\u5e45\u5ea6\u8d8a\u6765\u8d8a\u5c0f\uff0c\u5219\u79f0\u6570p\u4e3a\u968f\u673a\u4e8b\u4ef6A\u7684\u6982\u7387\uff0c\u8bb0\u4e3aP(A)=p\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1-\u6982\u7387\u8bba
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绛旓細鐜板湪姹傚嚭P(AB)鍗冲彲 AB鍗14绾胯矾閫氳繃閮芥槸鍙潬 鎴戜滑鏍规嵁3鏈夋晥鏃犳晥鏉ュ垪鍏姒傜巼 P(AB)=p^2 [P[1-锛1-P锛塣2]+(1-P)P^2] =3p^4-2P^5 浠e叆涓婂紡 绛旀姝g‘ 杩欓噷鍋氫笅寮忓瓙鐨勮В閲 鏃㈢劧14閮借鍙潬 鎵浠ヨ涔樹釜P^2 涓鎷彿閲鍒嗕负3鍙潬+3涓嶅彲闈犵殑鎯呭喌 杩欓浣犺嚜宸卞緱澶氭兂鎯 鍏蜂綋鏈夌枒闂...
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绛旓細鎬婚噺涓篨 鍚堟牸鐜=鍚堟牸鍝佹暟閲/鎬婚噺=锛1/3X*0.98+2/3X*0.99锛/X=0.98*1/3+0.99*2/3鈮0.987=98.7 鍙栧緱娆″搧,涓虹敳鍘傜敓浜х殑姒傜巼=鐢插巶娆″搧鏁伴噺/鎬绘鍝佹暟閲=1/3X*0.02/锛1/3X*0.02+2/3X*0.01锛=1/2=50