求解:全书概率论部分一个求概率的题 求解题概率论部分

\u4e00\u4e2a\u6982\u7387\u8bba\u6c42\u5206\u5e03\u5f8b\u7684\u9898

\u7cbe\u5fc3\u4e3a\u5927\u5bb6\u6574\u7406\u4e86\u6982\u7387\u8bba\u4e00\u7ef4\u968f\u673a\u53d8\u91cf\u53ca\u5176\u5206\u5e03\u7684\u5185\u5bb9

\u914d\u5408\u76f8\u5e94\u7684\u4f8b\u9898\u8ba9\u5927\u5bb6\u66f4\u597d\u7406\u89e3

\u5982\u679c\u6709\u8003\u7814\u6216\u662f\u6570\u5b66\u65b9\u9762\u95ee\u9898\u7684\u8bdd\u53ef\u4ee5\u968f\u65f6\u7559\u8a00\u6216\u8005\u79c1\u4fe1

\u8fdb\u5165\u6b63\u9898\uff0c\u4eca\u5929\u91cd\u70b9\u4ecb\u7ecd3\u4e2a\u51fd\u6570\u53ca6\u4e2a\u5206\u5e03

\u4e00\u30013\u4e2a\u51fd\u6570

1\u3001\u5206\u5e03\u51fd\u6570

\u8bbe [\u516c\u5f0f] \u4e3a\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\uff0c\u5219\u6210 [\u516c\u5f0f] \u4e3a\u968f\u673a\u53d8\u91cf [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570\uff0c\u5176\u9700\u8981\u6ee1\u8db3\u4ee5\u4e0b\u56db\u4e2a\u7279\u5f81\uff1a

\uff081\uff09 [\u516c\u5f0f]

\uff082\uff09 [\u516c\u5f0f] \u5355\u8c03\u4e0d\u51cf

\uff083\uff09[\u516c\u5f0f] \u53f3\u8fde\u7eed

\uff084\uff09[\u516c\u5f0f]

\u4e00\u4e2a\u5206\u5e03\u51fd\u6570\u5fc5\u5b9a\u6ee1\u8db3\u4ee5\u4e0a\u56db\u4e2a\u7279\u5f81\uff0c\u5982\u82e5\u4efb\u610f\u4e00\u4e2a\u4e0d\u6ee1\u8db3\u65f6\uff0c\u8be5\u51fd\u6570\u4e0d\u80fd\u79f0\u4e4b\u4e3a\u5206\u5e03\u51fd\u6570

\u4f8b\u9898\uff1a\u8bbe [\u516c\u5f0f] \u4e3a [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570\uff0c\u4e0b\u5217\u4e5f\u6210\u79f0\u4e4b\u4e3a\u5206\u5e03\u51fd\u6570\u7684\u662f\uff08\uff09
[\u516c\u5f0f]
[\u516c\u5f0f]
[\u516c\u5f0f]
[\u516c\u5f0f]
\u89e3\u7b54\uff1a

\u9009\u9879A\uff1a[\u516c\u5f0f]\uff0c\u4e0d\u7b26\u5408\u5206\u5e03\u51fd\u6570\u5c0f\u4e8e\u7b49\u4e8e1\u7684\u7279\u5f81

\u9009\u9879B\uff1a[\u516c\u5f0f]\uff0c\u4e0d\u7b26\u5408\u5206\u5e03\u51fd\u6570\u5c0f\u4e8e\u7b49\u4e8e1\u7684\u7279\u5f81

\u9009\u9879C\uff1a[\u516c\u5f0f]\uff0c\u4e0d\u7b26\u5408\u5206\u5e03\u51fd\u6570\u5c0f\u4e8e\u7b49\u4e8e1\u7684\u7279\u5f81

\u9009\u9879D\uff1a[\u516c\u5f0f]\uff0c\u4e14\u5176\u4ed6\u51e0\u4e2a\u7279\u5f81\u4e5f\u540c\u65f6\u7b26\u5408\uff0c\u56e0\u6b64D\u6b63\u786e

\u5206\u5e03\u51fd\u6570\u9664\u4e0a\u8ff0\u7279\u5f81\u5916\uff0c\u8fd8\u5177\u5907\u4ee5\u4e0b\u51e0\u4e2a\u6027\u8d28:

\uff081\uff09 [\u516c\u5f0f]

\uff082\uff09[\u516c\u5f0f]

\uff083\uff09 [\u516c\u5f0f]

\uff084\uff09[\u516c\u5f0f]

2\u3001\u5206\u5e03\u5f8b

\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf\u7684\u5206\u5e03\u5f8b\uff0c\u8868\u8fbe\u5f0f\u4e3a\uff1a[\u516c\u5f0f]

\u5206\u5e03\u5f8b\u5177\u6709\u4ee5\u4e0b\u51e0\u70b9\u7279\u5f81

\uff081\uff09 [\u516c\u5f0f]

\uff082\uff09 [\u516c\u5f0f]

\u4ee5\u4e0b\u4e3a\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\u7684\u5206\u5e03\u5f8b\u60c5\u51b5\uff1a

X0123
P0.50.20.150.15
3\u3001\u6982\u7387\u5bc6\u5ea6\u51fd\u6570

\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf\u6bcf\u4e2a\u53d6\u503c\u7684\u6982\u7387\u65e0\u6cd5\u7528\u5177\u4f53\u7684\u6570\u503c\u6765\u8868\u793a\uff0c\u6bd4\u5982\u8bbe [\u516c\u5f0f] \u4e3a\u4ece0\u52301\u7684\u6570\u5b57\u4e2d\u968f\u673a\u53d6\u5230\u7684\u6570

\u56e0\u4e3a0-1\u4e2d\u6709\u65e0\u6570\u4e2a\u6570\u5b57\uff0c\u6240\u4ee5\u65e0\u8bba [\u516c\u5f0f] \u53d6\u5230\u4ec0\u4e48\u503c\uff0c\u6982\u7387\u90fd\u662f0\uff0c\u56e0\u4e3a\u4e0d\u80fd\u7528\u5206\u5e03\u5f8b\u6765\u8868\u793a\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u7684\u6570\u5b57\u7279\u5f81\uff0c\u56e0\u6b64\u5f15\u5165\u4e86\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u7684\u6982\u5ff5

\u8bbe [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570\u4e3a [\u516c\u5f0f] \uff0c\u82e5\u5b58\u5728\u975e\u8d1f\u53ef\u79ef\u51fd\u6570 [\u516c\u5f0f] \uff0c\u4f7f\u5f97 [\u516c\u5f0f] \uff0c\u5219\u79f0[\u516c\u5f0f]\u4e3a[\u516c\u5f0f]\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff0c\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u9700\u6ee1\u8db3\u4ee5\u4e0b\u4e24\u4e2a\u7279\u5f81\uff1a

\uff081\uff09 [\u516c\u5f0f]

\uff082\uff09 [\u516c\u5f0f]

\u4f8b\u9898\uff1a\u8bbe [\u516c\u5f0f] \u4e3a [\u516c\u5f0f] \u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff0c\u5224\u65ad\u4e0b\u5217\u51fd\u6570\u662f\u5426\u4e3a\u6982\u7387\u5bc6\u5ea6\u51fd\u6570
[\u516c\u5f0f]
[\u516c\u5f0f]
\u89e3\u7b54\uff1a

\u9009\u9879A\uff1a [\u516c\u5f0f] \uff0c\u56e0\u6b64A\u9519\u8bef

\u9009\u9879B\uff1a [\u516c\u5f0f] \u7684\u53d6\u503c\u65e0\u6cd5\u5224\u65ad\u662f\u5426\u7b49\u4e8e1\uff0c\u56e0\u6b64B\u9519\u8bef

\u7efc\u4e0a\uff0c\u5728\u8003\u5bdf\u4e00\u4e2a\u51fd\u6570\u662f\u5426\u662f\u5206\u5e03\u51fd\u6570\u6216\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u65f6\uff0c\u5747\u8981\u6ee1\u8db3\u4e24\u4e2a\u51fd\u6570\u5404\u81ea\u5bf9\u5e94\u7684\u7279\u5f81

\u4e8c\u30016\u4e2a\u91cd\u8981\u5206\u5e03

\u524d\u4e09\u4e2a\u4e3a\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf\u7684\u5206\u5e03\uff0c\u540e\u4e09\u4e2a\u4e3a\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf\u5206\u5e03\uff0c6\u4e2a\u90fd\u5f88\u91cd\u8981\uff0c\u5fc5\u987b\u80cc\u8bf5\u4e0b\u6765\uff08\u5305\u62ec\u7b26\u53f7\u90fd\u662f\u8981\u80cc\u7684\uff0c\u6bd4\u5982B\u4ee3\u8868\u4ec0\u4e48\uff0cU\u4ee3\u8868\u4ec0\u4e48\uff09

1\u3001\u4e8c\u9879\u5206\u5e03\uff08\u7b26\u53f7\u8868\u793a [\u516c\u5f0f] ~ [\u516c\u5f0f] \uff09

\u5206\u5e03\u5f8b\u8868\u8fbe\u5f0f\u4e3a\uff1a [\u516c\u5f0f]

2\u3001\u6cca\u677e\u5206\u5e03\uff08\u7b26\u53f7\u8868\u793a [\u516c\u5f0f] ~ [\u516c\u5f0f] \u6216 [\u516c\u5f0f] ~ [\u516c\u5f0f] \uff09

\u5206\u5e03\u5f8b\u8868\u8fbe\u5f0f\u4e3a\uff1a [\u516c\u5f0f]

3\u3001\u8d85\u51e0\u4f55\u5206\u5e03\uff08\u7b26\u53f7\u8868\u793a [\u516c\u5f0f] ~ [\u516c\u5f0f] \uff09

\u5206\u5e03\u5f8b\u8868\u8fbe\u5f0f\u4e3a\uff1a [\u516c\u5f0f]

4\u3001\u5747\u5300\u5206\u5e03\uff08\u7b26\u53f7\u8868\u793a [\u516c\u5f0f] ~ [\u516c\u5f0f] \uff09

\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u8868\u8fbe\u5f0f\u4e3a\uff1a


5\u3001\u6307\u6570\u5206\u5e03\uff08\u7b26\u53f7\u8868\u793a[\u516c\u5f0f] ~[\u516c\u5f0f]\uff09

\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u8868\u8fbe\u5f0f\u4e3a\uff1a


6\u3001\u6b63\u6001\u5206\u5e03\uff08\u7b26\u53f7\u8868\u793a[\u516c\u5f0f] ~[\u516c\u5f0f]\uff09

\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u8868\u8fbe\u5f0f\u4e3a\uff1a


\u7279\u522b\u5730\uff0c\u82e5\u03bc = 0,\u03c3 =1\uff0c\u79f0\u968f\u673a\u53d8\u91cf\u670d\u4ece\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff0c\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u8868\u8fbe\u5f0f\u4e3a\uff1a


\u5206\u5e03\u51fd\u6570\u4e3a\uff1a


\u6ce8\uff1a\u6b63\u6001\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u6027\u8d28

\uff081\uff09[\u516c\u5f0f]

\uff082\uff09\u6b63\u6001\u5206\u5e03\u5bc6\u5ea6\u51fd\u6570\u5173\u4e8e [\u516c\u5f0f] \u5bf9\u79f0\uff0c\u5373 [\u516c\u5f0f] \uff0c\u7279\u522b\u7684\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u5bc6\u5ea6\u51fd\u6570\u5173\u4e8e [\u516c\u5f0f] \u5bf9\u79f0

\uff083\uff09\u82e5 [\u516c\u5f0f] ~[\u516c\u5f0f]\uff0c\u5219[\u516c\u5f0f] ~[\u516c\u5f0f]\uff0c\u8be5\u70b9\u975e\u5e38\u975e\u5e38\u91cd\u8981

\uff084\uff09\u82e5 [\u516c\u5f0f] ~[\u516c\u5f0f]\uff0c\u5219 [\u516c\u5f0f]

\u4f8b\u9898\uff1a\u67d0\u5de5\u5382\u751f\u4ea7\u87ba\u6813\u7684\u957f\u5ea6\u670d\u4ece\u53c2\u6570 [\u516c\u5f0f] =10.05\uff0c [\u516c\u5f0f] =0.12\u7684\u6b63\u6001\u5206\u5e03\uff0c\u5982\u679c\u89c4\u5b9a\u957f\u5ea6\u572810.05\u00b10.12\u5185\u4e3a\u5408\u683c\u54c1\uff0c\u6c42\u4e00\u87ba\u6813\u4e3a\u5408\u683c\u54c1\u7684\u6982\u7387\u4e3a\u591a\u5c11\uff1f
\u89e3\u7b54\uff1a

\u8bbe\u87ba\u6813\u7684\u957f\u5ea6\u4e3a [\u516c\u5f0f] \uff0c\u5219[\u516c\u5f0f] ~[\u516c\u5f0f]\uff0c\u5219[\u516c\u5f0f] ~[\u516c\u5f0f]\uff0c

[\u516c\u5f0f]

[\u516c\u5f0f]

\u5176\u4e2d[\u516c\u5f0f] \u7684\u53d6\u503c\u53ef\u4ee5\u5728\u8bfe\u672c\u80cc\u540e\u67e5\u627e\u5f97\u51fa

\u6b64\u9898\u5c5e\u4e8e\u5178\u578b\u9898\u76ee\uff0c\u5373\u9700\u8981\u5bf9\u6b63\u6001\u5206\u5e03\u8fdb\u884c\u53d8\u6362\uff0c\u53d8\u6210\u6807\u51c6\u6b63\u6001\u5206\u5e03\u540e\u518d\u5e26\u5165\u8fdb\u884c\u8ba1\u7b97\uff0c\u5982\u82e5\u76f4\u63a5\u7528\u539f\u5206\u5e03\u5e26\u5165\u8fdb\u884c\u79ef\u5206\uff0c\u5219\u4f1a\u4ea7\u751f\u8f83\u5927\u8ba1\u7b97\u91cf\uff0c\u96be\u4ee5\u5f97\u51fa\u7ed3\u679c

\u4e09\u3001\u968f\u673a\u53d8\u91cf\u7684\u53d8\u6362

\u8bb2\u5230\u8fd9\u91cc\uff0c\u57fa\u672c\u4e0a\u4e00\u7ef4\u968f\u673a\u53d8\u91cf\u7684\u5185\u5bb9\u8bb2\u5b8c\u4e86\uff0c\u8fd9\u91cc\u8865\u5145\u4e00\u79cd\u5173\u4e8e\u4e00\u7ef4\u53d8\u91cf\u7684\u5178\u578b\u9898\u76ee\uff0c\u5373:

\u5df2\u77e5\u53d8\u91cf [\u516c\u5f0f] \u7684\u5206\u5e03\u60c5\u51b5\uff0c\u6c42\u89e3 [\u516c\u5f0f] \u5206\u5e03\u51fd\u6570\u53ca\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u7684\u9898\u578b\uff0c\u8be5\u9898\u578b\u5206\u4e3a\u79bb\u6563\u578b\u548c\u8fde\u7eed\u578b\u4e24\u79cd\u60c5\u51b5\u8fdb\u884c\u8bb2\u89e3\uff1a

1\u3001\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf

\u4f8b\u9898\uff1a\u8bbe [\u516c\u5f0f] \u670d\u4ece\u4e0b\u8ff0\u5206\u5e03\u5f8b\uff0c\u6c42\u89e3 [\u516c\u5f0f] \u7684\u5206\u5e03\u5f8b
X0123
P0.50.20.150.15
\u89e3\u7b54\uff1a

\u5728\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf\u4e2d\uff0c\u6c42\u89e3[\u516c\u5f0f]\u7684\u5206\u5e03\u5f8b\u662f\u6bd4\u8f83\u7b80\u5355\u7684\uff0c\u76f4\u63a5\u5c06 [\u516c\u5f0f] \u7684\u53d6\u503c\u4ee3\u5165 [\u516c\u5f0f] \u4e2d\u5373\u53ef\u7b97\u51fa\uff0c\u5373 [\u516c\u5f0f]

\u6240\u4ee5[\u516c\u5f0f] \u7684\u5206\u5e03\u5f8b\u4e3a:

2X+11357
P0.20.20.150.15
[\u516c\u5f0f] \u7684\u5206\u5e03\u5f8b\u4e3a:

X^20149
P0.20.20.150.15
2\u3001\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf

\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf\u7684\u9898\u76ee\u76f8\u5bf9\u9ebb\u70e6\u4e00\u70b9\uff0c\u6709\u7684\u770b\u8fc7\u4e66\u7684\u540c\u5b66\u5e94\u8be5\u77e5\u9053\u4e66\u4e0a\u7ed9\u51fa\u4e86\u51e0\u4e2a\u516c\u5f0f\u7528\u4e8e\u8ba1\u7b97\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf\u53d8\u6362\u7684\u9898\u76ee\uff0c\u4f46\u662f\u4e2a\u4eba\u4e0d\u5efa\u8bae\u53bb\u6b7b\u8bb0\u786c\u80cc\u90a3\u4e9b\u516c\u5f0f\uff0c\u6570\u5b66\u5df2\u7136\u6709\u5f88\u591a\u516c\u5f0f\u8981\u80cc\u4e86\uff0c\u80fd\u5c11\u4e00\u4e2a\u662f\u4e00\u4e2a\uff0c\u63a5\u4e0b\u6765\u91cd\u70b9\u6765\u4e86\uff1a

\u5173\u4e8e\u6c42\u89e3\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf [\u516c\u5f0f] \u4e2d\uff0c [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570\u53ca\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u6b65\u9aa4

\uff081\uff09\u5229\u7528\u5206\u5e03\u51fd\u6570\u5b9a\u4e49\u6c42\u89e3 [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570

[\u516c\u5f0f]

\uff082\uff09\u5bf9\u5206\u5e03\u51fd\u6570\u4e24\u8fb9\u8fdb\u884c\u6c42\u5bfc\uff0c\u5373\u53ef\u6c42\u51fa\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff0c\u6ce8\u610f\u53f3\u8fb9\u7684\u51fd\u6570\u662f\u4e2a\u590d\u5408\u51fd\u6570\uff0c\u9700\u5229\u7528\u590d\u5408\u51fd\u6570\u6c42\u5bfc\u6cd5\u5219\u8fdb\u884c\u6c42\u89e3

\u4f8b\u9898\uff1a\u5df2\u77e5\u53d8\u91cf [\u516c\u5f0f] \u670d\u4ece\u533a\u95f4[0,1]\u4e0a\u7684\u5747\u5300\u5206\u5e03\uff0c\u6c42\u968f\u673a\u53d8\u91cf [\u516c\u5f0f] \u6982\u7387\u5bc6\u5ea6\u51fd\u6570
[\u516c\u5f0f] \uff08\u5176\u4ed6 \uff09
\u89e3\u7b54\uff1a

\uff081\uff09\u5229\u7528\u5206\u5e03\u51fd\u6570\u5b9a\u4e49\u6c42\u89e3 [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570

[\u516c\u5f0f]

\uff082\uff09\u4e24\u8fb9\u6c42\u5bfc

[\u516c\u5f0f]

[\u516c\u5f0f]

\u4f8b\u9898\uff1a\u5df2\u77e5\u53d8\u91cf [\u516c\u5f0f] \u670d\u4ece\u533a\u95f4[0,6]\u4e0a\u7684\u5747\u5300\u5206\u5e03\uff0c\u6c42\u968f\u673a\u53d8\u91cf [\u516c\u5f0f] \u6982\u7387\u5bc6\u5ea6\u51fd\u6570
[\u516c\u5f0f] \uff08\u5176\u4ed6 \uff09
\u89e3\u7b54\uff1a

\uff081\uff09\u5229\u7528\u5206\u5e03\u51fd\u6570\u5b9a\u4e49\u6c42\u89e3 [\u516c\u5f0f] \u7684\u5206\u5e03\u51fd\u6570

[\u516c\u5f0f]

\u6ce8\uff1a\u90e8\u5206\u540c\u5b66\u8fd9\u91cc\u89e3\u7b54\u51fa\u6765\u7684\u7ed3\u679c\u662f [\u516c\u5f0f]

\u4f1a\u89e3\u51fa\u4e0a\u8ff0\u7ed3\u679c\u7684\u540c\u5b66\u5ffd\u7565\u4e86\u4e00\u4e2a\u6761\u4ef6\uff0c\u5373 [\u516c\u5f0f] \u5728[0,6]\u533a\u95f4\u4e0a\u624d\u6709\u53d6\u503c\uff0c\u56e0\u6b64 [\u516c\u5f0f] \u7684\u53d6\u503c\u8303\u56f4\u5e94\u8be5\u662f[\u516c\u5f0f]

\u5982\u679c\u8fd8\u662f\u6ca1\u770b\u51fa\u6765\u7684\u8bdd\uff0c\u6211\u4eec\u4ece\u56fe\u50cf\u5165\u624b\uff0c\u627e\u51fa [\u516c\u5f0f] \u7684\u53d6\u503c\u8303\u56f4\uff1a


\u4ece\u56fe\u50cf\u53ef\u4ee5\u770b\u51fa [\u516c\u5f0f] \u7684\u53d6\u503c\u8303\u56f4\u4e3a [\u516c\u5f0f]

\uff082\uff09\u4e24\u8fb9\u6c42\u5bfc

[\u516c\u5f0f]

[\u516c\u5f0f] \uff08\u5176\u4ed6\uff09

\u5229\u7528\u5b9a\u4e49\u89e3\u7b54\u6b64\u7c7b\u9898\u76ee\u662f\u8f83\u4e3a\u7b80\u5355\u7684\u4e00\u79cd\uff0c\u4e0d\u9700\u8981\u8bb0\u5fc6\u8fc7\u591a\u7684\u516c\u5f0f\uff0c\u5f88\u65b9\u4fbf\uff0c\u5e0c\u671b\u5927\u5bb6\u8bb0\u4f4f

\u6982\u7387\u8bba\u7b2c\u4e8c\u7ae0\u7684\u5206\u4eab\u5c31\u5230\u8fd9\u91cc\u5566\uff0c\u540e\u7eed\u4ecd\u4f1a\u6301\u7eed\u8fdb\u884c\u66f4\u65b0\u540e\u9762\u7ae0\u8282

\u7801\u5b57\u4e0d\u6613\uff0c\u8bf7\u5927\u5bb6\u70b9\u4e2a\u8d5e\u5427~

\u53e6\u5916\u5982\u679c\u6709\u8003\u7814\u6216\u662f\u6570\u5b66\u65b9\u9762\u95ee\u9898\u7684\u8bdd\u53ef\u4ee5\u968f\u65f6\u7559\u8a00\u6216\u8005\u79c1\u4fe1\uff0c\u6709\u95ee\u5fc5\u7b54\u54c8~

\u53e6\u76ee\u524d\u8ba1\u5212\u5f00\u8bbe\u6570\u5b66\u65b9\u9762\u7684\u96c6\u8bad\u8425\uff0c\u656c\u8bf7\u5173\u6ce8~

\u5982\u4e0b\uff1a
\u7531\u6cca\u677e\u5206\u5e03\u7684\u6027\u8d28\uff08\u53ef\u52a0\u6027\uff09\uff0c12\u65f6\u81f3\u4e0b\u53483\u65f6\u6536\u5230\u7684\u7d27\u6025\u547c\u6551\u7684\u6b21\u6570X\u670d\u4ece\u53c2\u6570\u4e3a\uff081/2\uff09\uff0a3=1.5\u7684\u6cca\u677e\u5206\u5e03\uff0c\u6240\u4ee5\u67d0\u4e00\u5929\u4e2d\u534812\u65f6\u81f3\u4e0b\u53483\u65f6\u6ca1\u6536\u5230\u547c\u6551\u7684\u6982\u7387p(k=0)=e^(-1.5)\u3002
12\u65f6\u81f3\u4e0b\u53485\u65f6\u6536\u5230\u7684\u7d27\u6025\u547c\u6551\u7684\u6b21\u6570X\u670d\u4ece\u53c2\u6570\u4e3a\uff081/2\uff09\uff0a5=2.5\u7684\u6cca\u677e\u5206\u5e03\uff0c\u6240\u4ee5\u67d0\u4e00\u5929\u4e2d\u534812\u65f6\u81f3\u4e0b\u53485\u65f6\u81f3\u5c11\u6536\u52301\u6b21\u547c\u6551\u7684\u6982\u7387p(k<=0)=p(k=0)+p(k=1)=e^(-2.5)+2.5*e^(-2.5)=3.5*e^(-2.5)\u3002

\u5e94\u7528\u793a\u4f8b
\u6cca\u677e\u5206\u5e03\u9002\u5408\u4e8e\u63cf\u8ff0\u5355\u4f4d\u65f6\u95f4\uff08\u6216\u7a7a\u95f4\uff09\u5185\u968f\u673a\u4e8b\u4ef6\u53d1\u751f\u7684\u6b21\u6570\u3002\u5982\u67d0\u4e00\u670d\u52a1\u8bbe\u65bd\u5728\u4e00\u5b9a\u65f6\u95f4\u5185\u5230\u8fbe\u7684\u4eba\u6570\uff0c\u7535\u8bdd\u4ea4\u6362\u673a\u63a5\u5230\u547c\u53eb\u7684\u6b21\u6570\uff0c\u6c7d\u8f66\u7ad9\u53f0\u7684\u5019\u5ba2\u4eba\u6570\uff0c\u673a\u5668\u51fa\u73b0\u7684\u6545\u969c\u6570\uff0c\u81ea\u7136\u707e\u5bb3\u53d1\u751f\u7684\u6b21\u6570\uff0c\u4e00\u5757\u4ea7\u54c1\u4e0a\u7684\u7f3a\u9677\u6570\uff0c\u663e\u5fae\u955c\u4e0b\u5355\u4f4d\u5206\u533a\u5185\u7684\u7ec6\u83cc\u5206\u5e03\u6570\u7b49\u7b49\u3002

解得好,谢谢~之前我的思路是这样的:1、组合C下标20上标4,即先从20人中选出4个人
2、然后计算这4个人同时下车的概率-----每人在每个站下车是等概率的,因此每人在第一站下的概率是1/9,那么,4个人同时下车的概率是(1/9)的4次方
3、最后用
组合C下标20上标4
乘以
(1/9)的4次方不知我这思路错在哪,能不能帮我找找?

这种题我觉得只能用古典概型来求,因为你所有20位乘客在某个站下车的概率都是1/10,请楼主看清楚是10个站,包括终点站

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