http://www.mapleprimes.com/questions/142924-Help-Me-Write-Code en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 16 Jun 2026 09:36:10 GMT Tue, 16 Jun 2026 09:36:10 GMT The latest answers and comments added to the Question, Help me write code http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/142924-Help-Me-Write-Code http://www.mapleprimes.com/questions/142924-Help-Me-Write-Code?ref=Feed:MaplePrimes:Help me write code:Comments#answer142927 <p>1.Using the <a href='http://www.maplesoft.com/support/help/search.aspx?term=combinat' target='_new'>?combinat</a> package, we create the&nbsp; space of elementary events&nbsp; Omega.<br>Then, using the <a href="http://www.maplesoft.com/support/help/search.aspx?term=select">?select</a> , <a href="http://www.maplesoft.com/support/help/search.aspx?term=Occurrences">?Occurrences</a> , and <a href="http://www.maplesoft.com/support/help/search.aspx?term=nops">?nops</a> commands, we create the event A and count the number of its members. At last, we apply the classical definition of the probability. The notation D for the fourth event is replaced by DD because D is the protected name for the differentiation operator.<br>2. The second approach uses the <a href="http://www.maplesoft.com/support/help/search.aspx?term=RandomVariable">?RandomVariable</a> Binomial(4,1/(2)) and the <a href="http://www.maplesoft.com/support/help/search.aspx?term=Probability">?Probability</a> command. It is difficult to find the probability of the event C in this way. &nbsp;</p> <p>&nbsp;</p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/4a13f03f41d20841ec054589f64a19b8.gif" alt="restart; with(combinat); with(ListTools); Omega := permute([t, t, t, t, h, h, h, h], 4)" width="523" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -23;" src="/view.aspx?sf=142927/452832/c1dd95a70676c622a978d2a723bc4b21.gif" alt="[[t, t, t, t], [t, t, t, h], [t, t, h, t], [t, t, h, h], [t, h, t, t], [t, h, t, h], [t, h, h, t], [t, h, h, h], [h, t, t, t], [h, t, t, h], [h, t, h, t], [h, t, h, h], [h, h, t, t], [h, h, t, h], [h, h, h, t], [h, h, h, h]]" width="546" height="40" align="middle"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/52670aeb44ea0a23c038ce8d01b2ebfa.gif" alt="A := select(proc (c) options operator, arrow; 3 &lt;= Occurrences(t, c) end proc, Omega)" width="295" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/88109fcc028f8046c08871b21299d034.gif" alt="[[t, t, t, t], [t, t, t, h], [t, t, h, t], [t, h, t, t], [h, t, t, t]]" width="309" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/f6301c072de255c39079e0e4cca69c47.gif" alt="prob(A) := nops(A)/nops(Omega)" width="543" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/473d768441a23f74581ddfb9e843c359.gif" alt="5/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(3)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/457c67d44b900f41c705a37032ae8cca.gif" alt="B := select(proc (c) options operator, arrow; Occurrences(t, c) &lt;= 2 end proc, Omega)" width="295" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -23;" src="/view.aspx?sf=142927/452832/5ae60174797361d5e1ec5d77829468b6.gif" alt="[[t, t, h, h], [t, h, t, h], [t, h, h, t], [t, h, h, h], [h, t, t, h], [h, t, h, t], [h, t, h, h], [h, h, t, t], [h, h, t, h], [h, h, h, t], [h, h, h, h]]" width="546" height="40" align="middle"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(4)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/caefa505d3519394a6312a95a11b6638.gif" alt="prob(B) := nops(B)/nops(Omega)" width="178" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/efa71c8723eb4197009cfc3835eb5ced.gif" alt="11/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(5)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/5b636fa734f7b2222512f39d98141112.gif" alt="C := select(proc (c) options operator, arrow; is(c[3] = t) end proc, Omega)" width="233" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/3045b5aacf3ccbc472e815229a55eef8.gif" alt="[[t, t, t, t], [t, t, t, h], [t, h, t, t], [t, h, t, h], [h, t, t, t], [h, t, t, h], [h, h, t, t], [h, h, t, h]]" width="504" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(6)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/cc7e75785b7c61dd749c02b443c93674.gif" alt="prob(C) := nops(C)/nops(Omega)" width="179" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/3d229b0dab785b130f8099fd6a0d070a.gif" alt="1/2" width="23" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(7)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/6db251c369e85319141396c28142dc57.gif" alt="DD := select(proc (c) options operator, arrow; Occurrences(t, c) = 1 end proc, Omega)" width="303" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/a6112e32c480a653fc09da5acbdf6526.gif" alt="[[t, h, h, h], [h, t, h, h], [h, h, t, h], [h, h, h, t]]" width="276" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(8)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/77bd5b22ee42bff2810622aa798fb162.gif" alt="prob(DD) := nops(DD)/nops(Omega)" width="190" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/97509e7654aa2aa228ee9a3ceccafdee.gif" alt="1/4" width="23" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(9)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/3a60a9686abb213494b9ec726e8fc015.gif" alt="with(Statistics):" width="377" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/1431c08f46343846a8bd087a0839b1de.gif" alt="_R" width="22" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(10)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/e5e826c68d2c0b1898e1e04cc1c4e1d9.gif" alt="prob(A) := Probability(X &gt;= 3)" width="567" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/936d0aa344df1636a1e6cc4ffaa65aab.gif" alt="5/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(11)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/b266ded4d826635376b99cf440ba1965.gif" alt="prob(A) := Probability(X &gt;= 3)" width="202" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/cf17f74b0575f558e88074185a2ff4ca.gif" alt="5/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(12)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/59a6206c9cd23ccd83a67ba9da4bda93.gif" alt="prob(D) := Probability(X = 1)" width="199" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/5826041366e22dccd5db2b9af182c96a.gif" alt="1/4" width="23" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(13)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/167d049a0e7c1f1c3679eb6f0277f873.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p>&nbsp;</p> <p><a href="/view.aspx?sf=142927/452832/prob.mw">Download prob.mw</a></p> <p><br><br></p> <p>1.Using the <a href='http://www.maplesoft.com/support/help/search.aspx?term=combinat' target='_new'>?combinat</a> package, we create the&nbsp; space of elementary events&nbsp; Omega.<br>Then, using the <a href="http://www.maplesoft.com/support/help/search.aspx?term=select">?select</a> , <a href="http://www.maplesoft.com/support/help/search.aspx?term=Occurrences">?Occurrences</a> , and <a href="http://www.maplesoft.com/support/help/search.aspx?term=nops">?nops</a> commands, we create the event A and count the number of its members. At last, we apply the classical definition of the probability. The notation D for the fourth event is replaced by DD because D is the protected name for the differentiation operator.<br>2. The second approach uses the <a href="http://www.maplesoft.com/support/help/search.aspx?term=RandomVariable">?RandomVariable</a> Binomial(4,1/(2)) and the <a href="http://www.maplesoft.com/support/help/search.aspx?term=Probability">?Probability</a> command. It is difficult to find the probability of the event C in this way. &nbsp;</p> <p>&nbsp;</p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/4a13f03f41d20841ec054589f64a19b8.gif" alt="restart; with(combinat); with(ListTools); Omega := permute([t, t, t, t, h, h, h, h], 4)" width="523" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -23;" src="/view.aspx?sf=142927/452832/c1dd95a70676c622a978d2a723bc4b21.gif" alt="[[t, t, t, t], [t, t, t, h], [t, t, h, t], [t, t, h, h], [t, h, t, t], [t, h, t, h], [t, h, h, t], [t, h, h, h], [h, t, t, t], [h, t, t, h], [h, t, h, t], [h, t, h, h], [h, h, t, t], [h, h, t, h], [h, h, h, t], [h, h, h, h]]" width="546" height="40" align="middle"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/52670aeb44ea0a23c038ce8d01b2ebfa.gif" alt="A := select(proc (c) options operator, arrow; 3 &lt;= Occurrences(t, c) end proc, Omega)" width="295" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/88109fcc028f8046c08871b21299d034.gif" alt="[[t, t, t, t], [t, t, t, h], [t, t, h, t], [t, h, t, t], [h, t, t, t]]" width="309" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(2)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/f6301c072de255c39079e0e4cca69c47.gif" alt="prob(A) := nops(A)/nops(Omega)" width="543" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/473d768441a23f74581ddfb9e843c359.gif" alt="5/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(3)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/457c67d44b900f41c705a37032ae8cca.gif" alt="B := select(proc (c) options operator, arrow; Occurrences(t, c) &lt;= 2 end proc, Omega)" width="295" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -23;" src="/view.aspx?sf=142927/452832/5ae60174797361d5e1ec5d77829468b6.gif" alt="[[t, t, h, h], [t, h, t, h], [t, h, h, t], [t, h, h, h], [h, t, t, h], [h, t, h, t], [h, t, h, h], [h, h, t, t], [h, h, t, h], [h, h, h, t], [h, h, h, h]]" width="546" height="40" align="middle"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(4)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/caefa505d3519394a6312a95a11b6638.gif" alt="prob(B) := nops(B)/nops(Omega)" width="178" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/efa71c8723eb4197009cfc3835eb5ced.gif" alt="11/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(5)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/5b636fa734f7b2222512f39d98141112.gif" alt="C := select(proc (c) options operator, arrow; is(c[3] = t) end proc, Omega)" width="233" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/3045b5aacf3ccbc472e815229a55eef8.gif" alt="[[t, t, t, t], [t, t, t, h], [t, h, t, t], [t, h, t, h], [h, t, t, t], [h, t, t, h], [h, h, t, t], [h, h, t, h]]" width="504" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(6)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/cc7e75785b7c61dd749c02b443c93674.gif" alt="prob(C) := nops(C)/nops(Omega)" width="179" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/3d229b0dab785b130f8099fd6a0d070a.gif" alt="1/2" width="23" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(7)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/6db251c369e85319141396c28142dc57.gif" alt="DD := select(proc (c) options operator, arrow; Occurrences(t, c) = 1 end proc, Omega)" width="303" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/a6112e32c480a653fc09da5acbdf6526.gif" alt="[[t, h, h, h], [h, t, h, h], [h, h, t, h], [h, h, h, t]]" width="276" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(8)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/77bd5b22ee42bff2810622aa798fb162.gif" alt="prob(DD) := nops(DD)/nops(Omega)" width="190" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/97509e7654aa2aa228ee9a3ceccafdee.gif" alt="1/4" width="23" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(9)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/3a60a9686abb213494b9ec726e8fc015.gif" alt="with(Statistics):" width="377" height="42"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/1431c08f46343846a8bd087a0839b1de.gif" alt="_R" width="22" height="23"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(10)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/e5e826c68d2c0b1898e1e04cc1c4e1d9.gif" alt="prob(A) := Probability(X &gt;= 3)" width="567" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/936d0aa344df1636a1e6cc4ffaa65aab.gif" alt="5/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(11)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/b266ded4d826635376b99cf440ba1965.gif" alt="prob(A) := Probability(X &gt;= 3)" width="202" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/cf17f74b0575f558e88074185a2ff4ca.gif" alt="5/16" width="31" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(12)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/59a6206c9cd23ccd83a67ba9da4bda93.gif" alt="prob(D) := Probability(X = 1)" width="199" height="23"></p> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=142927/452832/5826041366e22dccd5db2b9af182c96a.gif" alt="1/4" width="23" height="42"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(13)</td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><img style="vertical-align: -6;" src="/view.aspx?sf=142927/452832/167d049a0e7c1f1c3679eb6f0277f873.gif" alt="``" width="11" height="23"></p> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p>&nbsp;</p> <p><a href="/view.aspx?sf=142927/452832/prob.mw">Download prob.mw</a></p> <p><br><br></p> 142927 Fri, 01 Feb 2013 18:00:41 Z Markiyan Hirnyk Markiyan Hirnyk