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…………5分
(2)?所有可能取值有0,1,2,3 …………6分
2C82C462884P???0??2?2???,
C5C1010452251112C82C4C8CC4428616104P???1??2?2?2?22?????,
C5C10C5C101045104522511122C8C2C4C4C24166135P???2??2?2?2?2?????,
C5C10C5C101045104522512C4C2412 P(??3)?2?2???, …………10分
C5C101045225所以?的分布列是
? P 0 1 2 3 84104352 2252252252251047064???. …………12分 所以?的期望值是E??0?225225225514、 解答:(1)设阅读量为5万到7万的小矩形的面积为x,阅读量为7万到9万的小矩形的面积为y 则: ??4?0.1?6x?8y?10?0.25?12?0.15?8.3,
?0.1?x?y?0.25?0.15?1可得?x?0.2,y?0.3,
?按分层抽样的方法在各段抽得的人数依次为:2人,4人,6人,5人,3人.
11222C6C14A2?C6A299?P??22C20A2190或
22C14A299P?1?22?C20A21901122C6C14A2?A699或?P??2A20190或
2A1499, P?1?2?A20190这两个组长中至少有一人的阅读量少于7万字的概率?从抽出的20人中选出2人来担任正副组长,为
99. 190(2) 设3人中来自阅读量为11万到13万的人数为随机变量? 由题意知随机变量?的所有可能的取值为1,2,3
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12213C3C23C3C26C31 ?P(??1)??,P(??2)??,P(??3)??333C510C510C510故?的分布列为
? P 1 2 3 3 106 101 10?E??361?1??2??3?1.8, 101010?这3人来自阅读量为11万到13万的人数的期望值为1.8.
15、(1)记“抽取的两天销售量都小于30”为事件A, C621则P(A)=2=. ·················································································4分 C103(2)①设乙商家的日销售量为a,则 当a=28时,X=28×5=140; 当a=29时,X=29×5=145; 当a=30时,X=30×5=150; 当a=31时,X=30×5+1×8=158; 当a=32时,X=30×5+2×8=166; 所以X的所有可能取值为:140,145,150,158,166. ·······························6分 所以X的分布列为 X P 140 145 150 158 166 1 101 51 52 51 1012111所以EX=140×+145×+150×+158×+166×=152.8 ·····························8分 1051055②依题意,甲商家的日平均销售量为:28×0.2+29×0.4+30×0.2+31×0.1+32×0.1=29.5 所以甲商家的日平均返利额为:60+29.5×3=148.5元. ··································10分 由①得乙商家的日平均返利额为152.8元(>148.5元), 所以推荐该超市选择乙商家长期销售. ······················································12分 16、17、
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