Problems Description
<p class="MsoNormal"> <span>1</span>、将一枚均匀的硬币连掷三次，其中有两次都出现正面的概率为<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A.0</span><span>.1</span><span>25 B. 0</span><span>.2</span><span>5 C. 0</span><span>.3</span><span>75 D. 0</span><span>.5</span><span></span> </p> <p class="MsoNormal"> <span>2</span>、设随机变量<span>X</span>的概率密度为<img src="http://tk.hustoj.com/attached/image/20140511/20140511103948_87701.png" alt="" /> ，则<i><span>c</span></i>值为 </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A.</span>－<span>0.5 B. 0 C. 0.5 D. 1</span> </p> <p class="MsoNormal"> <span>3</span>、设随机变量<img src="http://tk.hustoj.com/attached/image/20140511/20140511104042_84548.png" alt="" />，则<span>E[X<sup>2</sup>]</span> 值为<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A. 0.25 B. 0.5 C. 1 D. 1.25</span> </p> <p class="MsoNormal"> <span>4</span>、设X的points布函数为F(x)，则Y=3X+1的points布函数G(y)为<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A. F(y/3-1/3) B. F(3y+1) C. 3F(y)+1 D. F(y)/3-1/3</span> </p> <p class="MsoNormal"> <span>5</span>、如果X,Y,满足D(X+Y)=D（X-Y），则必有<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A. X</span>与<span>Y</span>独立 <span>B. X</span>与<span>Y</span>不相关<span> </span><span>C. D(X)=0 </span> <span> D. D(Y)=0</span> </p> <p class="MsoNormal" align="left" style="margin-left:53.95pt;text-indent:-53.95pt;"> <br /> </p> <p class="MsoNormal"> 6、设随机变量<span>X</span>服从（–<span>a</span>，<span>2a</span>）上的均匀points布，<span>E[X]=3</span>，则<span>a</span>值为<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A. 0 B. 3 C. 6 D. 12</span> </p> <p class="MsoNormal" style="margin-left:78.75pt;text-indent:-78.75pt;"> 7、设标准正态points布的上<span>0.05</span>points位点为<i><span>z</span></i>=1.645,则points布函数在该点的函数值为<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A. 0.05 B. 1.645 C. 0.95 D. 1</span> </p> <p class="MsoNormal" style="margin-left:57.75pt;text-indent:-57.75pt;"> 8、设总体期望为<span>0</span>.<span>50</span>，方差为<span>0</span>.<span>0001</span>，容量为<span>16</span>的样本均值为<span>0</span>.<span>54</span>，则<span>U</span>统计量的值为<span></span> </p> <p class="MsoNormal" style="margin-left:42.0pt;text-indent:21.0pt;"> <span>A. 0.0001 B. 0.50 C. 0.54 D. 16</span> </p> <p class="MsoNormal"> 9、已知事件A，B相互独立且互不相容，P(AB)=<u> </u><u></u> </p> <p class="MsoNormal"> <u><br /> </u> </p> <p class="MsoNormal"> 10、<span style="line-height:1.5;">甲、乙两人独立的对同一目标射击一次，其命中率points别为0.6和0.5，现已知目标被命中，则它是甲射中的概率为（三位小数）</span><u> </u><span style="line-height:1.5;">。</span> </p> <p class="MsoNormal" style="margin-left:15.75pt;text-indent:-15.75pt;"> <span></span> </p> <p> <br /> </p> <p class="MsoNormal"> <span style="line-height:1.5;"><br /> </span> </p> <p class="MsoNormal"> <span style="line-height:1.5;">11、</span><span style="line-height:1.5;">设</span><span style="line-height:1.5;"></span><span style="line-height:1.5;">是来自正态总体</span><span style="line-height:1.5;"><img src="http://tk.hustoj.com/attached/image/20140511/20140511122127_31218.png" alt="" /></span><span style="line-height:1.5;">的样本，令</span><span style="line-height:1.5;"><img src="http://tk.hustoj.com/attached/image/20140511/20140511122137_96077.png" alt="" /></span><span style="line-height:1.5;"><br /> 则当C=<u> </u>时，CY～<img src="http://tk.hustoj.com/attached/image/20140511/20140511122210_95927.png" alt="" />。</span> </p> <p class="MsoNormal"> <span style="line-height:1.5;"><br /> </span> </p> <p class="MsoNormal"> <span style="line-height:1.5;">12、设<span>X</span>、<span>Y</span>相互独立，<span>E[X]=</span><i>a</i>，<span>E[Y] =</span><i>b</i>，E[X<sup>2</sup>]=<i>c</i>，<span>E[Y<sup>2</sup>]=d</span>，则<span>E[</span><i>b</i>X–<i>a</i>Y]为多少？</span> </p> <p class="MsoNormal"> <span style="line-height:1.5;"><br /> </span> </p> <p class="MsoNormal"> <span style="line-height:1.5;">13、设总体<span>X</span>服从<span>(0, </span><i>a</i>)上的均匀points布，其中<i>a</i>未知。今对<span>X</span>进行<span>10</span>次简单抽样，样本<span></span>的观测值为<span>0.60</span>、<span>0.58</span>、<span>0.61</span>、<span>0.55</span>、<span>0.59</span>、<span>0.63</span>、<span>0.52</span>、<span>0.67</span>、<span>0.49</span>、<span>0.62</span>。试用矩估计法由一阶矩估计<i>a</i>的值<span>（三位小数）</span>。</span> </p> <p class="MsoNormal"> <span style="line-height:1.5;"><br /> </span> </p> <p class="MsoNormal"> <span style="line-height:1.5;">14、<span>设总体</span><span>X</span><span>服从</span><span>(0, </span><i>a</i><span>)上的均匀points布，其中</span><i>a</i><span>未知。今对</span><span>X</span><span>进行</span><span>10</span><span>次简单抽样，样本</span><span></span><span>的观测值为</span><span>0.60</span><span>、</span><span>0.58</span><span>、</span><span>0.61</span><span>、</span><span>0.55</span><span>、</span><span>0.59</span><span>、</span><span>0.63</span><span>、</span><span>0.52</span><span>、</span><span>0.67</span><span>、</span><span>0.49</span><span>、</span><span>0.62</span><span>。试用矩估计法由二阶矩估计</span><i>a</i><span>的值<span>（三位小数）</span>。</span><span></span></span> </p> <p class="MsoNormal"> <span style="line-height:1.5;"><br /> </span> </p> <p class="MsoNormal"> <span style="line-height:1.5;">15、设一机电系统由四种零件构成，它们points别占系统的<span>94%</span>、<span>3%</span>、<span>2%</span>、<span>1%</span>，四种零件的故障率依次为<span>0.02</span>，<span>0.05</span>，<span>0.10</span>，<span>0.15</span>。若任意零件出故障，则整items系统不能正常工作。求该机电系统能正常工作的概率<span>（三位小数）</span>？</span> </p>
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