[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fV-S2HJiZhWZvpJrjfXQkt71JZySM2m5Nr1DU3Yk9Jzc":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":8,"question":12,"related":13,"source":24,"type":68},[],"2023-11-24 14:39:23",108081012,[],{"courseId":9,"courseImg":10,"courseName":11},"3ad5d42031b9df19154f0dc92d819718","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5064509a70b4af9e2501cfa4f3d64855.png","概率论与数理统计（仅用于完成作业及单元自测线上部分）","设随机变量X的概率密度为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3f4ff67c72bc7e946e5196491042d226.png\">,则Y=2X-3的方差D(Y)=____\u002F____.(请依次填写化简后的分子和分母)",[14,26,36,45,54,63,69,74,77,82],{"answer":15,"createTime":16,"id":17,"options":18,"question":23,"source":24,"type":25},[],"2024-01-03 07:44:42",107277792,[19,20,21,22],"38,0","38,128","38,64","42,128","设随机变量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3db47a4aaf440adad6013c52b5b0a083.png\">,已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9bd8703754dad4b7d8020efc052a91d1.png\">,且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9ea5068860c1260293c14c1fc2bd3b4a.png\">相互独立,则随机变量Y的数学期望E(Y)和方差D(Y)分别为( )","v1",0,{"answer":27,"createTime":28,"id":29,"options":30,"question":35,"source":24,"type":25},[],"2024-01-03 07:44:41",107277797,[31,32,33,34],"10,100","10,10","0.1,0.1","0.1,0.01","设随机\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb8f0c818598b1160204886b98dfd9056.png\">,则E(X)和D(X)分别为( )",{"answer":37,"createTime":28,"id":38,"options":39,"question":44,"source":24,"type":25},[],107277801,[40,41,42,43],"3","21\u002F2","9","9\u002F2","设随机变量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fded2eb8c0f26f0e8d8b0352984ca877d.png\">,已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F729e5d886cb986491b193ff2b85850de.png\">,且\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F53db5ce64f35173ccd5ec01266b0d20e.png\">相互独立,则随机变量Y的方差D(Y)为( )",{"answer":46,"createTime":28,"id":47,"options":48,"question":53,"source":24,"type":25},[],107277806,[49,50,51,52],"1.6","2","0.5","0.6","设随机变量X的分布律为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4141c0f6020cd0e725a05019279b6e7d.png\">,则D(X)为( )",{"answer":55,"createTime":16,"id":56,"options":57,"question":62,"source":24,"type":25},[],107277809,[58,59,60,61],"6,12","12,12","6,144","12,144","已知随机变量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F40c7eed89e1f3cad3ffc2bf7de6ca6c9.png\">,则随机变量E(X)和D(X)分别为( )",{"answer":64,"createTime":5,"id":65,"options":66,"question":67,"source":24,"type":68},[],108081006,[],"将一颗均匀的6面骰子连掷10次,将所得点数之和记为随机变量X,则D(X)=____\u002F____.(请依次填写化简后的分子和分母)",2,{"answer":70,"createTime":5,"id":71,"options":72,"question":73,"source":24,"type":68},[],108081010,[],"设10个零件中有3个不合格. 现任取一个使用,若取到不合格品,则丢弃重新抽取一个,设取到合格品之前取出的不合品数为X,则D(X)=____\u002F____.(请依次填写化简后的分子和分母)",{"answer":75,"createTime":5,"id":6,"options":76,"question":12,"source":24,"type":68},[],[],{"answer":78,"createTime":5,"id":79,"options":80,"question":81,"source":24,"type":68},[],108081013,[],"设随机变量X的数学期望E(X)=4,方差D(X)=1,则E(3X-5)=____,D(2X+1)=____",{"answer":83,"createTime":5,"id":84,"options":85,"question":86,"source":24,"type":68},[],108081014,[],"设随机变量X与Y相互独立,且D(X)=5,D(3Y+2)=9,则D(X+Y)=____"]