x | 1 | 3 | 4 | 6 | 7 |
y | 5 | 6.5 | 7 | 7.5 | 8 |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/596775e6-ea71-4165-b762-5f0db03ee3df.png?resizew=174)
y与x可用回归方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c98e53993b5a35dab39b000fd7a907e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16a862478985191ece5a20bbe552bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c6cf002710b9137f3a88500949f22c.png)
(Ⅰ)若该农户产出的该新奇水果的价格为150元/箱,试预测该新奇水果100箱的利润是多少元.|.
(Ⅱ)据统计,10月份的连续16天中该农户每天为甲地配送的该新奇水果的箱数的频率分布直方图如图所示.
(i)若从箱数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de26a86ef40f1a2a8209640d3dd5a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9785528a43bee4c8dc6e1abcf72c45.png)
(ⅱ)求这16天该农户每天为甲地配送的该新奇水果的箱数的平均值.(每组用该组区间的中点值作代表)
参考数据与公式:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a6bb3acdb5e690d71a5b15c5cc44bc.png)
![]() | ![]() | ![]() | ![]() |
0.54 | 6.8 | 1.53 | 0.45 |
线性回归直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c98e53993b5a35dab39b000fd7a907e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873067838b996169f7f5e7ca211ad069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c4f4f6584e8923dca84e2ad79efd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c48bfde6d420fdda27b0b478db135e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27582493e2169299738c4ebc1c8d171c.png)
最高气温 | ||||||
天数 | 2 | 14 | 34 | 27 | 9 | 4 |
(1)求六月份这种酸奶一天的需求量不超过300瓶的概率;
(2)设六月份一天销售这种酸奶的利润为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecf34178d16bb9fa3c275e41d7ecd79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5761b4efc100873efd034bc6235a1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
最高气温 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
天数 | 2 | 16 | 36 | 25 | 7 | 4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc338b39c8620074ce1f7fa2857095e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8198e7a4b29e0fb844a50ef16d0bd78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26553cd004695ba92ba5d25e7be5ff01.png)
苹果箱种类 | A | B | C | D |
每箱利润(元) | 40 | 50 | 60 | 70 |
苹果单个质量区间 | [100,140) | [140,180) | [180,220) | [220,260] |
(2)在甲、乙、丙、丁中随机抽取2户,求这2户中恰有1户2022年土地流转收益超过2万元的概率.
(1)若某盒芯片中有9片合格,3片不合格,求该盒芯片经一次检验即可出厂的概率?
(2)若每片芯片售价10元,每片芯片检验费用1元,次品到达组装工厂被发现后,每片须由代工厂退赔10元,并补偿1片经检验合格的芯片给组装厂.设每片芯片不合格的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ff98516a0f6ea154f2772ee5de61eb.png)
①若某箱12片芯片中恰有3片次品的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060d9334136396f95e9dcd328486f9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060d9334136396f95e9dcd328486f9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
②若以①中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
6 . 某超市计划按月订购一种酸奶,每天进货量相同,进货成本每瓶4元,售价每瓶6元,未售出的酸奶降价处理,以每瓶2元的价格当天全部处理完.根据往年销售经验,每天需求量与当天最高气温(单位:℃)有关.如果最高气温不低于25,需求量为500瓶;如果最高气温位于区间[20,25),需求量为300瓶;如果最高气温低于20,需求量为200瓶.为了确定六月份的订购计划,统计了前三年六月份各天的最高气温数据,得下面的频数分布表:
最高气温 | [10,15) | [15,20) | [20,25) | [25,30) | [30,35) | [35,40) |
天数 | 2 | 16 | 36 | 25 | 7 | 4 |
以最高气温位于各区间的频率估计最高气温位于该区间的概率.
(1)求六月份这种酸奶一天的需求量不超过300瓶的概率;
(2)设六月份一天销售这种酸奶的利润为Y(单位:元),当六月份这种酸奶一天的进货量为450瓶时,写出Y的所有可能值,并估计Y大于零的概率.
x | (48,52] | (44,48]∪(52,56] | (0,44]∪(56,100] |
质量等级 | 正牌 | 副牌 | 废品 |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e45ec94b-8c85-41ad-9f84-b2b4b469301c.png?resizew=281)
(Ⅰ)按正牌、副牌、废品进行分层抽样,从这一刀(100张)纸中抽出一个容量为5的样本,再从这个样本中随机抽出两张,求其中无废品的概率;
(Ⅱ)试估计该公司生产宣纸的年利润(单位:万元).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213c6487d477c3b399355b0df748a394.png)
月份 | 1月 | 2月 | 3月 | 4月 | 5月 | 6月 | 7月 | 8月 |
月养殖量/千只3 | 3 | 4 | 5 | 6 | 7 | 9 | 10 | 12 |
月利润/十万元 | 3.6 | 4.1 | 4.4 | 5.2 | 6.2 | 7.5 | 7.9 | 9.1 |
生猪死亡数/只 | 29 | 37 | 49 | 53 | 77 | 98 | 126 | 145 |
(2)根据1月到8月的数据,求出月利润y(十万元)关于月养殖量x(千只)的线性回归方程(精确到0.001).
(3)预计在今后的养殖中,月利润与月养殖量仍然服从(2)中的关系,若9月份的养殖量为1.5万只,试估计:该月利润约为多少万元?
附:线性回归方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cf74bbdee085c44778ac6191e5016b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0033ab0e507a32e7675f3cd28776081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58291bd91befe1061530246da983727.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3068829ce13c2462b90fe2ec4fb2292f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/fceaabbf-c9bd-4a2f-927c-f82af428a73c.png?resizew=352)
(1)从这
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5021dda43ea360fb7b1102c1a462693a.png)
(2)已知销售量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若由线性回归方程得到的利润的估计数据与真实数据的误差不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
注:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416bd7189beb40e8526228fe0c937d03.png)
机器类型 | 第一类 | 第二类 | 第三类 | 第四类 | 第五类 |
销售总额(万元) | ![]() | ![]() | ![]() | ![]() | ![]() |
销售量(台) | ![]() | ![]() | ![]() | ![]() | ![]() |
利润率 | ![]() | ![]() | ![]() | ![]() | ![]() |
(Ⅰ)从该公司本月卖出的机器中随机选一台,求这台机器利润率高于0.2的概率;
(Ⅱ)从该公司本月卖出的销售单价为20万元的机器中随机选取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(Ⅲ)假设每类机器利润率不变,销售一台第一类机器获利
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60fcebe69f231fd83aaeb148e77b1504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0c4c71089ffa8b2d6c7a58848325c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60fcebe69f231fd83aaeb148e77b1504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85481cd7e94130ef3aa05b4a39e79cd.png)