概率论和数理统计复旦大学课后题答案.doc

relationship between Government and business. The two sessions, General Secretary of Pro, clear the word succinctly summarized the new relationship between Government and business, as pure politics, reshaping the political relationship specified in the direction. District leaders in handling political and business relations, engage in trading power for money, and finally stumbled, we a lesson, always keep in mind that Pro, clean practicing Pro, clear. Pro is to open a sincere engagement with private enterprise to help solve practical difficulties; Clear is to clarify the Division of power, exercised in accordance with, private entrepreneurs with innocent purity, not abusing power for personal gain, not to engage in trading power for money. Third, in order to maintain fairness and justice. Fairness and justice is the lifeline of the rule of law, is the best development environment. Currently, lax law enforcement and the judicial sector in our region also exist to varying degrees, law enforcement departments and individual window units power for personal gains and bribes, thick friends, relations, human cases, money cases in which seriously infringe on the legitimate rights and interests of enterprises and people. Especially some law enforcement and inspection for profit purposes, deliberately looking for corporate loopholes, found directly under the ticket does not give business improvement opportunities. We recruit a company doesnt easily, cultivating a business more difficult, never for personal gain, systematic harassment, card, last checked to check to get the enterprise collapsed. To guarantee the legitimate rights and interests. Always proceed from the overall situation of reform and development of services, fully consider the characteristics of production and management in non-public enterprises and social benefits, an accurate grasp of legal limits, protect the enthusiasm of entrepreneurs and practitioners in innovation and entrepreneurship, enhancing expectations and confidence. To promote strict enforcement. Strengthening law enforcement procedures, improve law enforcement performance evaluation, strengthening the supervision of law enforcement, exploration and practice of risk control mechanism of law enforcement to further standardize the social security, urban management, road traffic administrative law enforcement, effectively free, extensive law-enforcement and lax enforcement of law enforcement and other issues. To uphold justice. Justice is the last line of Defense to safeguard fairness and justice, to unequivocally support the courts and procuratorates independently exercise level . Judicial activities were rampant, must not be allowed to run, favors, money, must not be allowed to knowingly violate the miscarriage, violations of the legitimate rights and interests of the masses must not be allowed to abuse of power, to make forest mass can be felt in every judicial cases in equity and justice. Four to deepen grass-roots governance according to lawchain do long, and put scale big. To serve the development of enterprises. Duocuo simultaneously improving service efficiency, build better public services platform, enhance work efficiency, initiative to help businesses solve the project procedures, financing loans, issues such as land-use approval, reduce operating costs, business travel light and enhance the confidence to overcome all kinds of difficulties and the Foundation, real entrepreneurial passion play entrepreneurship, enhance the internal vitality and creativity. SI XING an construction, promoting the rule of law, tries to make the transformation of forest development XI General Secretary stressed, to reinvigorate Northeast China, optimized development environment is very important. Environment of rule of law most gather Moss, the most conducive to development. Improving the leading cadres using the method of thought and the rule of law Administration work, problem-solving, the ability to promote the development, is the key to promoting the rule of law. The law may affect the efficiency of out of the path of development will be more smooth, won development gains will be sustained, and end with greater efficiency. Leading cadres at all levels should take the lead in respect of law law, abide by, and actively foster Socialist culture, actively promoting the field of multi-level governance according to law, guide the masses and consciously abide by the law, failing to find law, solve the problem by law, in accordance with the law prevail. XXX administration by law of leading cadres do not exist on the rule of law, law enforcement, casual, and vow not to investors, the new scores and other turmoil. These important expositions on my district create good development environment with highly targeted and guidance, especially the General Secretary pointed out that the chaos in my area also exists to varying degrees, some even quite serious. Leading cadres at all levels must improve the development environment of rule of law as a fundamental task, adhere to the problem oriented, solid and solve the problems in the construction of rule of law, to rule the new effect for development environment improvements. To hold key minority. Leaders of this group, although few in number, but the effect is critical. If a local leaders take the lead right according to law, in accordance with the law, the local CPPCC fresh, pragmatic and efficient development environment. Conversely, if a local leaders of ignoring the law, impunity, not only the political environment will be destroyed, will have serious implications for the development environment. Now, some leading cadres lack of awareness on the importance of learning, that learn or not does not matter. Think efficiency is too low too much, act according to the procedure, than an executive order getting along with. In dealing with complex issues, often speak of settling and done; on the issue of handling letters and visits, like to spend money and buy stop and stable, but disregard the law administration, in accordance with the law, the rulechain do long, and put scale big. To serve the development of enterprises. Duocuo simultaneously improving service efficiency, build better public services platform, enhance work efficiency, initiative to help businesses solve the project procedures, financing loans, issues such as land-use approval, reduce operating costs, business travel light and enhance the confidence to overcome all kinds of difficulties and the Foundation, real entrepreneurial passion play entrepreneurship, enhance the internal vitality and creativity. SI XING an construction, promoting the rule of law, tries to make the transformation of forest development XI General Secretary stressed, to reinvigorate Northeast China, optimized development environment is very important. Environment of rule of law most gather Moss, the most conducive to development. Improving the leading cadres using the method of thought and the rule of law Administration work, problem-solving, the ability to promote the development, is the key to promoting the rule of law. The law may affect the efficiency of out of the path of development will be more smooth, won development gains will be sustained, and end with greater efficiency. Leading cadres at all levels should take the lead in respect of law law, abide by, and actively foster Socialist culture, actively promoting the field of multi-level governance according to law, guide the masses and consciously abide by the law, failing to find law, solve the problem by law, in accordance with the law prevail. XXX administration by law of leading cadres do not exist on the rule of law, law enforcement, casual, and vow not to investors, the new scores and other turmoil. These important expositions on my district create good development environment with highly targeted and guidance, especially the General Secretary pointed out that the chaos in my area also exists to varying degrees, some even quite serious. Leading cadres at all levels must improve the development environment of rule of law as a fundamental task, adhere to the problem oriented, solid and solve the problems in the construction of rule of law, to rule the new effect for development environment improvements. To hold key minority. Leaders of this group, although few in number, but the effect is critical. If a local leaders take the lead right according to law, in accordance with the law, the local CPPCC fresh, pragmatic and efficient development environment. Conversely, if a local leaders of ignoring the law, impunity, not only the political environment will be destroyed, will have serious implications for the development environment. Now, some leading cadres lack of awareness on the importance of learning, that learn or not does not matter. Think efficiency is too low too much, act according to the procedure, than an executive order getting along with. In dealing with complex issues, often speak of settling and done; on the issue of handling letters and visits, like to spend money and buy stop and stable, but disregard the law administration, in accordance with the law, the rule7习题七1.设总体X服从二项分布b（n，p），n已知，X1，X2，Xn为来自X的样本，求参数p的矩法估计.【解】因此np=所以p的矩估计量 2.设总体X的密度函数f（x,）=X1，X2，Xn为其样本，试求参数的矩法估计.【解】令E(X)=A1=,因此=所以的矩估计量为 3.设总体X的密度函数为f（x，），X1，X2，Xn为其样本，求的极大似然估计.（1） f（x，）=（2） f（x，）=【解】（1） 似然函数由知所以的极大似然估计量为.(2) 似然函数,i=1,2,n.由知所以的极大似然估计量为 4.从一批炒股票的股民一年收益率的数据中随机抽取10人的收益率数据，结果如下：序号12345678910收益率0.01-0.11-0.12-0.09-0.13-0.30.1-0.09-0.1-0.11求这批股民的收益率的平均收益率及标准差的矩估计值.【解】 由知,即有于是 所以这批股民的平均收益率的矩估计值及标准差的矩估计值分别为-0.94和0.966.5.随机变量X服从0，上的均匀分布，今得X的样本观测值：0.9,0.8,0.2,0.8,0.4,0.4,0.7,0.6，求的矩法估计和极大似然估计，它们是否为的无偏估计.【解】(1) ,令，则且,所以的矩估计值为且是一个无偏估计.(2) 似然函数,i=1,2,8.显然L=L()(0)，那么时，L=L()最大,所以的极大似然估计值=0.9.因为E()=E(),所以=不是的无偏计.6.设X1，X2，Xn是取自总体X的样本，E（X）=，D（X）=2， =k,问k为何值时为2的无偏估计.【解】令 i=1,2,n-1,则 于是 那么当,即时,有 7.设X1，X2是从正态总体N（，2）中抽取的样本试证都是的无偏估计量，并求出每一估计量的方差.【证明】（1）,所以均是的无偏估计量.(2) 8.某车间生产的螺钉，其直径XN（，2），由过去的经验知道2=0.06,今随机抽取6枚，测得其长度（单位mm）如下：14.7 15.0 14.8 14.9 15.1 15.2试求的置信概率为0.95的置信区间.【解】n=6,2=0.06,=1-0.95=0.05,的置信度为0.95的置信区间为.9.总体XN(,2)，2已知，问需抽取容量n多大的样本，才能使的置信概率为1-，且置信区间的长度不大于L？【解】由2已知可知的置信度为1-的置信区间为,于是置信区间长度为,那么由L,得n10.设某种砖头的抗压强度XN（，2），今随机抽取20块砖头，测得数据如下（kgcm-2）：64 69 49 92 55 97 41 84 88 9984 66 100 98 72 74 87 84 48 81（1） 求的置信概率为0.95的置信区间.（2） 求2的置信概率为0.95的置信区间.【解】 (1) 的置信度为0.95的置信区间(2)的置信度为0.95的置信区间11.设总体Xf(x)=X1,X2,Xn是X的一个样本，求的矩估计量及极大似然估计量.【解】(1)又故所以的矩估计量 (2) 似然函数.取对数所以的极大似然估计量为12.设总体Xf(x)= X1,X2,Xn为总体X的一个样本（1） 求的矩估计量；（2） 求.【解】(1) 令 所以的矩估计量 (2)，又于是,所以13.设某种电子元件的使用寿命X的概率密度函数为f(x,)= 其中(0)为未知参数，又设x1,x2,xn是总体X的一组样本观察值，求的极大似然估计值.【解】似然函数由那么当所以的极大似然估计量14. 设总体X的概率分布为X0 1 2 3P2 2(1-) 2 1-2其中(01,0，设X1,X2,Xn为来自总体X的样本（1） 当=1时，求的矩估计量；（2） 当=1时，求的极大似然估计量；（3） 当=2时，求的极大似然估计量. 【解】当=1时，当=2时, (1) 令,于是所以的矩估计量(2) 似然函数所以的极大似然估计量(3) 似然函数显然那么当时, ,所以的极大似然估计量.16.从正态总体XN（3.4，62）中抽取容量为n的样本，如果其样本均值位于区间（1.4，5.4）内的概率不小于0.95，问n至少应取多大？z1.281.6451.962.33j(z)0.90.950.9750.99【解】,则于是则, n35.17. 设总体X的概率密度为f(x，)=其中是未知参数（01）,X1,X2,Xn为来自总体X的简单随机样本，记N为样本值x1,x2,xn中小于1的个数.求：（1） 的矩估计；（2） 的最大似然估计. 解 (1) 由于 .令，解得，所以参数的矩估计为.(2) 似然函数为，取对数，得两边对求导，得令 得 ，所以的最大似然估计为.参与本物业的竣工验收，并在物业移交接管时，与甲方办理物业管理书面交接手续；本物业交付使用后的质量标准.说课标就是要把课程标准中的课程目标（三维目标）作为本课题教学的指导思想和教学依据，从课程论的高度驾驭教材和指导教学设计。Grass-roots governance according to law is an important foundation for promoting the construction of rule of law, but also the most basic development environment. Despite my good social order in General, but there are law-abiding consciousness, social order is not standard, regardless of faith, Twining visit visit and other outstanding problems. We want to actively promote the field of multi-level governance according to law, promote the continuous improvement of the social environment. To promote universal compliance. Actively foster the rule of law culture, carry out law publicity and education on honesty and trustworthiness, guide the masses and consciously abide by the law, failing to find method, problem-solving method, method of gradually changing the world, he is not looking for but someone unspoken rules, formed all law law, abide by the good atmosphere. To strengthen the comprehensive management of public security. Deepening peace xingan construction, strongly against violence crime, mafia and serious criminal offences, to protect the legitimate rights and interests of citizens, legal persons, carry out criminal policy of temper justice with mercy, the maximum stimulating social vitality, and earnestly safeguard social harmony and stability. To resolve social conflicts by law. To further smooth channels of reporting social conditions and public opinion, improving regulation, arbitration, as well as dispute resolution mechanisms, implement fully the petitioners cases third-party hearings and supervising system of letters and calls, and to resolve the involved law lawsuit into the orbit of rule of law, vexatious, Twining visit visit, disturbing social order and other malicious extortion, resolutely crack down. Five, improving cadres Vitale, provide strong protection for forest development XI General Secretary stressed that the comprehensive revitalization in Northeast China, needs a high quality, solid style, cadres of the dare to play. Cadre cadres is a pledge, should want to do work and able to do good, enthusiasm is paramount. Treat party cadres, it is necessary to Strict management, and warm care, enable the broad masses of cadres work hard work, this is two parallel principles. In strict accordance with the standards of good cadres selection and appointment, the real officers, dare officers, those who want to play, good as excellent cadres at all levels of leadership in the past. At present, some leading cadres work initiative is not high, beyond political, idle, lazy governance governance, not as, slow, messy and a phenomenon still exist to varying degrees, affected and restricted economic and social development. We must mobilize the enthusiasm of cadres as an urgent task, adhere to combination of incentives and constraints, and adhere to the strict management and warm care, practical solution for the officers not to problem, motivate cadres and better lead the masses to an undertaking, the cadres and create the new achievement in a dare to play, good at shows as new. To identify the problem, accurate pulseof law to visit and contribute to make visits to the vexatious visits arrogance. On these issues, we need to have a proper understanding, should take the lead to establish a sense of fear of the law, strengthen the application of the rule of law and the rule of law work of thinking and take up responsibility for the construction of the rule of law. Put learning first. Premise is ignorant of the law, abide by the law. Leading cadres at all levels should take the lead in studying the Constitution and laws and regulations closely related to work assumed by, an accurate grasp of the basic position of our party to address the issue of the rule of law, known for the scale to do things, figure out how to use it right, what things do, what not to do, it can never legal literacy. To enhance the awareness of the rule of law. Firmly establish the supremacy of constitutional law, legal equality before the, right by the law makes the right to statutory, as well as the rule of law, develop habits of rule of law, to discard the rule and cannot, must not get overridden by authority, at the right pressure. Should take the lead to abide by. Fulfil its mandate in strict accordance with statutory authority and procedures, no matter what you want to adhere to the law, thought of rule by law and the rule of law to tackle hot issues, effective statutory duty must be, without authorization, is not available. Such as construction areas, some cadres are because there is no procedure is followed by the rules, paid a heavy price, we should learn from them, in strict accordance with the law on bidding and implementation . Promised to give preferential policies for enterprises, hesitant to cash or cash not at all. Masses feel strongly about these issues, it is necessary to be solved. To accelerate decentralization. Specification list list list of powers, responsibilities and negative, clearance, revocation does not adapt to the current situation of the development of policy documents, especially the right to administrative examination and approval, the cancellation must be canceled, the delegation must be decentralized to achieve zero-wait, one-stop, seamless, improve administrative efficiency and service levels. In particular, the delegation of powers must be caught properly, never able to loft is no answer, no one cares, cause backfire, people work harder. To carry out the campaign. Crack down on law enforcement regulations, uncivil and not as, as undermining economic development, such as environmental problems, pay close attention to the grass-roots level weaknesses, strictly investigate and deal with the grass-roots level corruption and denial of Justice against the interests of the