[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fEPrKPu7kgivS8cqv3RMdBZg2bLxNFDReO--oxCaWjAU":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":21,"type":22},[],"2024-01-03 07:44:42",107277792,[8,9,10,11],"38,0","38,128","38,64","42,128",{"courseId":13,"courseImg":14,"courseName":15},"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\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( )",[18,23,33,42,51,60,67,72,77,82],{"answer":19,"createTime":5,"id":6,"options":20,"question":16,"source":21,"type":22},[],[8,9,10,11],"v1",0,{"answer":24,"createTime":25,"id":26,"options":27,"question":32,"source":21,"type":22},[],"2024-01-03 07:44:41",107277797,[28,29,30,31],"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":34,"createTime":25,"id":35,"options":36,"question":41,"source":21,"type":22},[],107277801,[37,38,39,40],"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":43,"createTime":25,"id":44,"options":45,"question":50,"source":21,"type":22},[],107277806,[46,47,48,49],"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":52,"createTime":5,"id":53,"options":54,"question":59,"source":21,"type":22},[],107277809,[55,56,57,58],"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":61,"createTime":62,"id":63,"options":64,"question":65,"source":21,"type":66},[],"2023-11-24 14:39:23",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":68,"createTime":62,"id":69,"options":70,"question":71,"source":21,"type":66},[],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":73,"createTime":62,"id":74,"options":75,"question":76,"source":21,"type":66},[],108081012,[],"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)",{"answer":78,"createTime":62,"id":79,"options":80,"question":81,"source":21,"type":66},[],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":62,"id":84,"options":85,"question":86,"source":21,"type":66},[],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)=____"]