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spidmax="2050"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body lang=EN-US link=blue vlink=blue style='tab-interval:.5in'> <div class=Section1> <h3 align=center style='text-align:center'><span style='font-size:11.0pt; mso-fareast-font-family:"Times New Roman"'>M 362K A first course in Probability,&nbsp; 8<sup>th</sup> edition<o:p></o:p></span></h3> <h3 align=center style='text-align:center'><span style='font-size:11.0pt; mso-fareast-font-family:"Times New Roman"'>&nbsp;&nbsp;&nbsp; Unique# 57915 - Fall 2009<o:p></o:p></span></h3> <h3 align=center style='text-align:center'><span style='font-size:11.0pt; mso-fareast-font-family:"Times New Roman"'>Homework assignments <o:p></o:p></span></h3> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><b><span style='font-size:11.0pt'>(</span></b><span style='font-size:11.0pt'><a href="http://rene.ma.utexas.edu/users/gamba/F09/m362k-09.html">back</a> to M362K page<b>)</b><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 1- Due date: Thursday September 10 </span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <h3><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-ansi-language:FR'>Chapter</span><span lang=FR style='font-size:11.0pt; mso-fareast-font-family:"Times New Roman"'> </span><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman";mso-ansi-language: FR'>1:</span><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h3> <h3><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-ansi-language:FR'>Page 16:&nbsp; 2, 3, 5, 8, 17, 18, 21, 22, 24, 26,&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Page 19: 7, 9, 13 <o:p></o:p></span></h3> <h3><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-ansi-language:FR'>Chapter</span><span lang=FR style='font-size:11.0pt; mso-fareast-font-family:"Times New Roman"'> </span><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman";mso-ansi-language: FR'>2:&nbsp; </span><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h3> <h3><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-ansi-language:FR'>Page 50: 3, 5, 6, 8, 11&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Page 54: 2, 6, 7, 10, 11, 13<o:p></o:p></span></h3> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 2- Due date: Thursday September 17</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <h3><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-ansi-language:FR'>Chapter</span><span lang=FR style='font-size:11.0pt; mso-fareast-font-family:"Times New Roman"'> </span><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman";mso-ansi-language: FR'>2:&nbsp; </span><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h3> <h3><span lang=FR style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"; mso-ansi-language:FR'>Page 50: 12, 18, 19, 24, 25 <o:p></o:p></span></h3> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Chapter</span></b><span lang=FR style='font-size:11.0pt'> </span><b><span lang=FR style='font-size: 11.0pt;mso-ansi-language:FR'>3:</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Page 102: 1, 2, 4, 5, 8, 10 ,&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></b><span lang=FR style='font-size: 11.0pt;mso-ansi-language:FR'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 3- Due date: Tuesday October 6<sup>t</sup></span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Chapter</span></b><span lang=FR style='font-size:11.0pt'> </span><b><span lang=FR style='font-size: 11.0pt;mso-ansi-language:FR'>3:</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Page 102: 17, 19, 26, 39, 50, 51, 53, 79.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Page 110:&nbsp;&nbsp; 1, 2, 5, 6, 16, 22,&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Page 114&nbsp;: 8, 20, 22.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></b><span lang=FR style='font-size: 11.0pt;mso-ansi-language:FR'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 4 - Due date: Thursday October 15<sup>th</sup></span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Chapter 4:</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Page 172&nbsp;:&nbsp; 2, 5,&nbsp; 6&nbsp;&nbsp; (</span></b><b><i><span style='font-size:11.0pt;color:green'>compute E[X] for these three first problems</span></i></b><b><span style='font-size:11.0pt'>);</span></b><span style='font-size:11.0pt'><span style='mso-spacerun:yes'>     </span><b>17, 19, 38,</b><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Page 179: 3, 7, 8,&nbsp; 11, 16</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Page 183&nbsp;:&nbsp; 8, 9.</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 5 - New Due date: Tuesday October 27<sup>nd</sup></span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt'>& </span><b><span lang=FR style='font-size:11.0pt; mso-ansi-language:FR'>more on Chapter 4:</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Page 172:&nbsp; 48,&nbsp; 51, 57, 58.</span></b><span lang=FR style='font-size:11.0pt;mso-ansi-language: FR'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language:FR'>Page 179:&nbsp; 15,&nbsp;&nbsp; 17, 19, 27,&nbsp; 29.</span></b><span lang=FR style='font-size: 11.0pt;mso-ansi-language:FR'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt'>&nbsp;</span><b><span lang=FR style='font-size:11.0pt; mso-ansi-language:FR'>Page 183&nbsp;: 20,&nbsp; 21.</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><b><span style='font-size:11.0pt;color:maroon'>MIDTERM exam on Thursday October 29th &nbsp;&nbsp; </span></b><span style='font-size: 11.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 6 - New Due date: Tuesday November 3rd&nbsp; </span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Chapter 5:</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=PT-BR style='font-size:11.0pt;mso-ansi-language:PT-BR'>Page 224:&nbsp; 1, 3, 6, 7, 14,&nbsp; 15 a)-b)-e).</span></b><span lang=PT-BR style='font-size: 11.0pt;mso-ansi-language:PT-BR'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span lang=PT-BR style='font-size:11.0pt;mso-ansi-language:PT-BR'>Page 227:&nbsp;&nbsp; 1,&nbsp; 2,&nbsp; 5,&nbsp; 7, 9.</span></b><span lang=PT-BR style='font-size:11.0pt;mso-ansi-language:PT-BR'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt'>&nbsp;<b>Page 229&nbsp;:&nbsp; 4, 14.&nbsp;&nbsp; </b><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 7  New Due date: November 12th</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Still from Chapter 5:</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Page 226:&nbsp;&nbsp; </span></b><b><span lang=PT-BR style='font-size:11.0pt;mso-ansi-language:PT-BR'>23,&nbsp; 27, 29,&nbsp; </span></b><b><span style='font-size:11.0pt'>32,&nbsp; </span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Page 228:&nbsp;&nbsp;&nbsp; </span></b><b><span lang=PT-BR style='font-size:11.0pt;mso-ansi-language:PT-BR'>18, 19, 20</span></b><b><span style='font-size:11.0pt'>, &nbsp;30 </span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Note that 18 and 20 not mandatory but are now are problems for extra homework credit. </span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Problem 19 can be solved without using the 'hint'. See the latest announcement for further explanations.</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt;color:#333399'>Homework 8  <span style='mso-spacerun:yes'> </span>Due date November 24<sup>th</sup></span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b><span style='font-size:11.0pt'>Still from <u>Chapter 5:</u></span></b><span style='font-size:11.0pt'> <span style='mso-spacerun:yes'>    </span><b>Page 226:&nbsp;&nbsp; 36,&nbsp; 37, 39, 40. </b><o:p></o:p></span></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><u><span style='font-size:11.0pt'>Chapter 6: </span></u></b><b style='mso-bidi-font-weight: normal'><span style='font-size:11.0pt'><span style='mso-spacerun:yes'>  </span><span style='mso-spacerun:yes'> </span>Page 287: <span style='mso-spacerun:yes'>   </span>8, 9, 20, 21, 23 <o:p></o:p></span></b></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><u><span style='font-size:11.0pt'>Chapter 7 :<span style='mso-spacerun:yes'>    </span></span></u></b><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'>Page 373:<span style='mso-spacerun:yes'>   </span>4, 16,<span style='mso-spacerun:yes'>   </span>26, 30, 33,<span style='mso-spacerun:yes'>  </span><o:p></o:p></span></b></p> <div class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><span style='font-size:11.0pt'> <hr size=2 width="100%" align=center> </span></div> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt'>&nbsp;</span><b><span style='font-size:11.0pt; color:#333399'>Homework 9  <span style='mso-spacerun:yes'> </span>Due date December 3<sup>th</sup></span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'>Still from <u>Chapter 7 :<span style='mso-spacerun:yes'>    </span></u>Page 373:<span style='mso-spacerun:yes'>   </span><span style='mso-spacerun:yes'>   </span>38, 40, 50, 51<o:p></o:p></span></b></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'>(Use the definition of<span style='mso-spacerun:yes'>  </span>covariance in page 355-6:<span style='mso-spacerun:yes'>           </span>Cov(X, Y) = E[XY]  E[X]E[Y]<o:p></o:p></span></b></p> <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'>And properties on page 356<o:p></o:p></span></b></p> <!-- <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><b style='mso-bidi-font-weight:normal'><u><span style='font-size:11.0pt'>Chapter 8:<span style='mso-spacerun:yes'>    </span></span></u></b><b style='mso-bidi-font-weight: normal'><span style='font-size:11.0pt'>Page 412:<span style='mso-spacerun:yes'>   </span>TBA</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> --> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><b><span style='font-size:11.0pt;color:maroon'>2<sup>nd</sup> MIDTERM exam on Thursday December 3rd <span style='mso-spacerun:yes'> </span>&nbsp;&nbsp; </span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="100%" align=center> </span></div> <p class=MsoNormal><span style='font-size:11.0pt;mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><span style='font-size:11.0pt'>&nbsp;<o:p></o:p></span></p> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><span style='font-size:11.0pt'>&nbsp;<o:p></o:p></span></p> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'><b><span lang=FR style='font-size:11.0pt;mso-ansi-language: FR'>(<a href="http://rene.ma.utexas.edu/users/gamba/F09/m362k-09.html">back</a> to M362K page)</span></b><span style='font-size:11.0pt'><o:p></o:p></span></p> <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'>&nbsp;</p> <p class=MsoNormal align=center style='mso-margin-top-alt:auto;mso-margin-bottom-alt: auto;text-align:center'>&nbsp;</p> </div> </body> </html> ÿþ