< align=center><B>题</B><B> C
</B>
<p>
< align=center><B>
<p></B>
<p>
<><FONT face="Times New Roman" size=3> </FONT>有一场由四个项目(高低杠、平衡木、跳马、自由体操) 组成的女子体操团体赛,赛程规定:每个队至多允许10名运动员参赛,每一个项目可以有6名选手参加。每个选手参赛的成绩评分从高到低依次为:10;9.9;9.8;…;0.1;0。每个代表队的总分是参赛选手所得总分之和,总分最多的代表队为优胜者。此外,还规定每个运动员只能参加全能比赛(四项全参加) 与单项比赛这两类中的一类,参加单项比赛的每个运动员至多只能参加三个单项。每个队应有4人参加全能比赛,其余运动员参加单项比赛。
<p>
<p>
<P> 现某代表队的教练已经对其所带领的10名运动员参加各个项目的成绩进行了大量测试,教练发现每个运动员在每个单项上的成绩稳定在4个得分上(见下表) ,她们得到这些成绩的相应概率也由统计得出(见表中第二个数据。例如:8.4~0.15表示取得8.4分的概率为0.15)。试解答以下问题:
<p>
<p>
<P> 1、每个选手的各单项得分按最悲观估算,在此前提下,请为该队排出一个出场阵容,使该队团体总分尽可能高;每个选手的各单项得分按均值估算,在此前提下,请为该队排出一个出场阵容,使该队团体总分尽可能高。
<p>
<p>
<P align=left> 2、若对以往的资料及近期各种信息进行分析得到:本次夺冠的团体总分估计为不少于236.2分,该队为了夺冠应排出怎样的阵容?以该阵容出战,其夺冠的前景如何?得分前景(即期望值)又如何?它有90%的把握战胜怎样水平的对手?
<p>
<p>
<P>
<p>
<p>
<P>
<p>
<p>
<P>
<p>
<p>
<P>
<p>
<p>
<P>
<p>
<p>
<P><FONT size=3> 附表:运动员各项目得分及概率分布表
<p></FONT>
<p>
<TABLE cellSpacing=0 cellPadding=0 border=1>
<TR>
<TD vAlign=top width=81>
<P align=center> 运动员
<p>
<p>
<P align=center><FONT face="Times New Roman">
<p></FONT>
<p>
<P>项目
<p>
<p></TD>
<TD width=81>
<P><FONT face="Times New Roman">1
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">2
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">3
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">4
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">5
<p></FONT>
<p></TD></TR>
<TR>
<TD width=81>
<P align=center>高低杠
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.15
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.25
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.3~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.6~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.2
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.1~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.3
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.15
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.25
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p></TD></TR>
<TR>
<TD width=81>
<P align=center>平衡木
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.15
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.25
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.1~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.3
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.0~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.2
<p></FONT>
<p></TD></TR>
<TR>
<TD width=81>
<P align=center>跳马
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.1~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.2
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.15
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.25
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.0~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.3
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.3~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.2
<p></FONT>
<p></TD></TR>
<TR>
<TD width=81>
<P align=center>自由体操
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.9~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.6~0.2
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.5~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.2
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.6~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.2
<p></FONT>
<p></TD></TR></TABLE>
<P><FONT size=3><FONT face="Times New Roman">
<p></FONT></FONT>
<p>
<P><FONT size=3><FONT face="Times New Roman">
<p></FONT></FONT>
<p>
<TABLE cellSpacing=0 cellPadding=0 border=1>
<TR>
<TD vAlign=top width=81>
<P>运动员
<p>
<p>
<P>
<p>
<p>
<P>项目</P></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">6
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">7
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">8
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">9
<p></FONT>
<p></TD>
<TD width=81>
<P align=center><FONT face="Times New Roman">10
<p></FONT>
<p></TD></TR>
<TR>
<TD width=81>
<P align=center>高低杠
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.6~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.2</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.5~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.2</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.15
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.25
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.0~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.2</FONT></P></TD></TR>
<TR>
<TD width=81>
<P align=center>平衡木
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.8~0.05</FONT></P>
<P align=center><FONT face="Times New Roman">9.2~`0.05</FONT></P>
<P align=center><FONT face="Times New Roman">9.8~0.5</FONT></P>
<P align=center><FONT face="Times New Roman">10~0.4</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.2</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.1~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.3
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.1</FONT></P></TD></TR>
<TR>
<TD width=81>
<P align=center>跳马
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.5~0.1</FONT></P>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.3</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.3~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.2</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.7~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.9~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.1~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.2
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.0~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">10~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.2~0.1</FONT></P>
<P align=center><FONT face="Times New Roman">9.2~0.5</FONT></P>
<P align=center><FONT face="Times New Roman">9.4~0.3</FONT></P>
<P align=center><FONT face="Times New Roman">9.6~0.1</FONT></P></TD></TR>
<TR>
<TD width=81>
<P align=center>自由体操
<p>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.15
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.25
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.4~0.1</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.4~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">8.8~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.2~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.2</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">8.2~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.3
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.1
<p></FONT>
<p></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.3~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.7~0.5
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.9~0.3</FONT></P></TD>
<TD vAlign=top width=81>
<P align=center><FONT face="Times New Roman">9.1~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.3~0.1
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.5~0.6
<p></FONT>
<p>
<P align=center><FONT face="Times New Roman">9.8~0.2</FONT></P></TD></TR></TABLE>
[此贴子已经被宝宝于2004-6-14 0:06:29编辑过]
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