概率统计——习题一参考解答1.1(1)C(2)D1.2(1)错误;(2)错误;(3)错误;(4)正确;(5)正确;(6)正确1.3)()(BACBAA∪∪∪1.4(1)}2312141|{<<≤≤=xxxBA或;(2)Ω=∪BA;(3)BBABA=∪=;(4)}.21210|{≤<≤≤==xxxAAB或1.543211AAAA)(;(2)4321AAAA;(3)4321432143214321AAAAAAAAAAAAAAAA∪∪∪;(4)434232413121AAAAAAAAAAAA∪∪∪∪∪1.6.85)(,0)(,0)()(=∪∪==∴=≤CBAPPABCPABPABCP1.7由于),()()()(BAPBPAPABP∪−+=故(1)当BA⊂时,P(AB)=0.6=max;(2)当A∪B=S时,P(AB)=0.3=min.1.8不放回抽样:;33591011556=××××=P(若有放回,则:.1331180111111656=××××=P)1.9(1))()()()()(BPAPBAPAPABP+≤∪≤≤;(2).4/1)(,12/1)(,12/7)(,12/5)(=∪==∩=∪BABAPBAPBAPBAP1.10由于ABABA−=−,且AAB⊂,所以)()()(ABPAPBAP−=−,于是3.02.05.0)()()(=−=−−=BAPAPABP,因此7.0)(1)(=−=ABPABP