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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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  <region id="0" top="9" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     plot(data,char,size,clr)</p>
      </title>
    </area>
    <region id="1" left="18" top="36" width="454" height="128" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
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          <e type="operand">char</e>
          <e type="operand">size</e>
          <e type="operand">clr</e>
          <e type="function" args="4">plot</e>
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          <e type="operand">1</e>
          <e type="operand">data</e>
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          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">r3</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">char</e>
          <e type="operator" args="2">:</e>
          <e type="operand">r4</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">size</e>
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          <e type="operand">r5</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">clr</e>
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          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">line</e>
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          <e type="operand">data</e>
          <e type="operand">r3</e>
          <e type="operand">r4</e>
          <e type="operand">r5</e>
          <e type="function" preserve="true" args="4">augment</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">line</e>
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      <area terminator="true" />
    </region>
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  <region id="3" left="18" top="216" width="255" height="31" color="#000000" bgColor="#ffc8c8" fontSize="14">
    <text lang="eng">
      <p bold="true">Plant Quality Control</p>
    </text>
  </region>
  <region id="4" left="18" top="252" width="534" height="88" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <text lang="eng">
      <p>Since the sampling is done without replacement, the probability of finding a given number of defectives is not well modeled by the Poisson distribution when the sample size is an appreciablefraction of the lot size. In this case, the Hypergeometric distribution provides a good model for the sampling process.</p>
    </text>
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  <region id="5" left="18" top="360" width="51" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Lot size</p>
      </description>
      <input>
        <e type="operand">N</e>
        <e type="operand">40</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="6" left="18" top="396" width="74" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>number of defectives</p>
      </description>
      <input>
        <e type="operand">D</e>
        <e type="operand">0</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operator" args="2">:</e>
      </input>
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  <region id="7" left="18" top="432" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>sample size</p>
      </description>
      <input>
        <e type="operand">n</e>
        <e type="operand">8</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="18" top="459" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>acceptance criterium</p>
      </description>
      <input>
        <e type="operand">c</e>
        <e type="operand">2</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="18" top="504" width="360" height="31" color="#000000" bgColor="#e1ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">The statistical Hypergeometric</p>
    </text>
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    <math>
      <input>
        <e type="operand">n</e>
        <e type="operand">k</e>
        <e type="function" args="2">cb</e>
        <e type="operand">n</e>
        <e type="operator" args="1">!</e>
        <e type="operand">k</e>
        <e type="operator" args="1">!</e>
        <e type="bracket">(</e>
        <e type="operand">n</e>
        <e type="operand">k</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">!</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">n</e>
        <e type="operand">k</e>
        <e type="operator" args="2">≥</e>
        <e type="operand">0</e>
        <e type="function" preserve="true" args="3">cases</e>
        <e type="operator" args="2">:</e>
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    <math>
      <input>
        <e type="operand">N</e>
        <e type="operand">n</e>
        <e type="operand">D</e>
        <e type="operand">u</e>
        <e type="function" args="4">H</e>
        <e type="operand">D</e>
        <e type="operand">u</e>
        <e type="function" args="2">cb</e>
        <e type="operand">N</e>
        <e type="operand">D</e>
        <e type="operator" args="2">-</e>
        <e type="operand">n</e>
        <e type="operand">u</e>
        <e type="operator" args="2">-</e>
        <e type="function" args="2">cb</e>
        <e type="operator" args="2">*</e>
        <e type="operand">N</e>
        <e type="operand">n</e>
        <e type="function" args="2">cb</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
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    <math>
      <input>
        <e type="operand">D</e>
        <e type="function" args="1">PA</e>
        <e type="operand">1</e>
        <e type="operand">D</e>
        <e type="operand">c</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">c</e>
        <e type="operand">i</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">N</e>
        <e type="operand">D</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">N</e>
        <e type="operand">n</e>
        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="function" args="4">H</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">i</e>
        <e type="operand">0</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="function" preserve="true" args="3">cases</e>
        <e type="operator" args="2">:</e>
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  <region id="13" left="18" top="756" width="186" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Lot Acceptance Probability</p>
      </description>
      <input>
        <e type="operand">LAP</e>
        <e type="operand">D</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">D</e>
        <e type="function" args="1">PA</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="18" top="801" width="205" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Average Outgoing Quality</p>
      </description>
      <input>
        <e type="operand">AOQ</e>
        <e type="operand">D</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">D</e>
        <e type="function" args="1">PA</e>
        <e type="operand">D</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="18" top="855" width="209" height="74" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Total Average Inspection</p>
      </description>
      <input>
        <e type="operand">ati</e>
        <e type="operand">D</e>
        <e type="function" args="1">PA</e>
        <e type="operand">n</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operand">1</e>
        <e type="operand">D</e>
        <e type="function" args="1">PA</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">N</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ATI</e>
        <e type="operand">D</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">ati</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </math>
  </region>
  <region id="16" left="18" top="936" width="464" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Global</e>
        <e type="operand">D</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">LAP</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">AOQ</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">ATI</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="4">augment</e>
        <e type="operator" args="2">:</e>
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    </math>
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    <plot type="2d" render="lines" scale_x="7.32624744481559" scale_y="20.9026389778991" scale_z="20.9026389778991" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-150" transpose_y="-50" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Lot Acceptance Probability vs defect rate</p>
      </description>
      <input>
        <e type="operand">LAP</e>
        <e type="operand">LAP</e>
        <e type="operand" style="string">o</e>
        <e type="operand">5</e>
        <e type="operand" style="string">red</e>
        <e type="function" args="4">plot</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
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  </region>
  <region id="18" left="450" top="1017" width="317" height="441" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Global</e>
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      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">8</e>
        <e type="operand">0.025</e>
        <e type="operand">1</e>
        <e type="operand">0.025</e>
        <e type="operand">8</e>
        <e type="operand">0.05</e>
        <e type="operand">1</e>
        <e type="operand">0.05</e>
        <e type="operand">8</e>
        <e type="operand">0.075</e>
        <e type="operand">0.9943</e>
        <e type="operand">0.0746</e>
        <e type="operand">8.1814</e>
        <e type="operand">0.1</e>
        <e type="operand">0.9796</e>
        <e type="operand">0.098</e>
        <e type="operand">8.652</e>
        <e type="operand">0.125</e>
        <e type="operand">0.9543</e>
        <e type="operand">0.1193</e>
        <e type="operand">9.4625</e>
        <e type="operand">0.15</e>
        <e type="operand">0.9181</e>
        <e type="operand">0.1377</e>
        <e type="operand">10.6203</e>
        <e type="operand">0.175</e>
        <e type="operand">0.8718</e>
        <e type="operand">0.1526</e>
        <e type="operand">12.1016</e>
        <e type="operand">0.2</e>
        <e type="operand">0.8168</e>
        <e type="operand">0.1634</e>
        <e type="operand">13.8612</e>
        <e type="operand">0.225</e>
        <e type="operand">0.755</e>
        <e type="operand">0.1699</e>
        <e type="operand">15.8408</e>
        <e type="operand">0.25</e>
        <e type="operand">0.6883</e>
        <e type="operand">0.1721</e>
        <e type="operand">17.9755</e>
        <e type="operand">0.275</e>
        <e type="operand">0.6188</e>
        <e type="operand">0.1702</e>
        <e type="operand">20.1991</e>
        <e type="operand">0.3</e>
        <e type="operand">0.5485</e>
        <e type="operand">0.1645</e>
        <e type="operand">22.4483</e>
        <e type="operand">0.325</e>
        <e type="operand">0.4792</e>
        <e type="operand">0.1557</e>
        <e type="operand">24.6654</e>
        <e type="operand">0.35</e>
        <e type="operand">0.4125</e>
        <e type="operand">0.1444</e>
        <e type="operand">26.8003</e>
        <e type="operand">0.375</e>
        <e type="operand">0.3496</e>
        <e type="operand">0.1311</e>
        <e type="operand">28.8121</e>
        <e type="operand">0.4</e>
        <e type="operand">0.2916</e>
        <e type="operand">0.1166</e>
        <e type="operand">30.6691</e>
        <e type="operand">0.425</e>
        <e type="operand">0.2391</e>
        <e type="operand">0.1016</e>
        <e type="operand">32.3493</e>
        <e type="operand">0.45</e>
        <e type="operand">0.1925</e>
        <e type="operand">0.0866</e>
        <e type="operand">33.8395</e>
        <e type="operand">0.475</e>
        <e type="operand">0.152</e>
        <e type="operand">0.0722</e>
        <e type="operand">35.135</e>
        <e type="operand">0.5</e>
        <e type="operand">0.1176</e>
        <e type="operand">0.0588</e>
        <e type="operand">36.2381</e>
        <e type="operand">0.525</e>
        <e type="operand">0.0888</e>
        <e type="operand">0.0466</e>
        <e type="operand">37.1574</e>
        <e type="operand">0.55</e>
        <e type="operand">0.0654</e>
        <e type="operand">0.036</e>
        <e type="operand">37.9061</e>
        <e type="operand">23</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="94">mat</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="1251" width="399" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="40.3259967112449" scale_y="20.9026389778991" scale_z="115.05477490739" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-150" transpose_y="-50" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Average Outgoing Quality vs defect rate</p>
      </description>
      <input>
        <e type="operand">AOQ</e>
        <e type="operand">AOQ</e>
        <e type="operand" style="string">o</e>
        <e type="operand">5</e>
        <e type="operand" style="string">red</e>
        <e type="function" args="4">plot</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="20" left="18" top="1494" width="399" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.183325754458688" scale_y="20.9026389778991" scale_z="0.523049772706302" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-150" transpose_y="-50" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Average Total Inspection vs defect rate</p>
      </description>
      <input>
        <e type="operand">ATI</e>
        <e type="operand">n</e>
        <e type="operand">ATI</e>
        <e type="operand" style="string">o</e>
        <e type="operand">5</e>
        <e type="operand" style="string">red</e>
        <e type="function" args="4">plot</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
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