Esempio: densità di probabilità e distribuzione cumulativa di probabilità

Fare clic per copiare questa espressione

<region id="ID0EVNVFB" top="144" left="24" height="219" width="525" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot origin-positioning="true" xml:lang="it">
    <xyPlot xml:lang="it">
      <title class="- topic/title " xml:lang="it" toc="yes" wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
      <legend xml:lang="it" />
      <traces xml:lang="it">
        <trace xml:lang="it" num-of-points="500">
          <traceStyle color="#FF00008B" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
        <trace xml:lang="it" num-of-points="500">
          <traceStyle color="#FF000000" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
        <trace xml:lang="it" num-of-points="500">
          <traceStyle color="#FFFF0000" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
      </traces>
      <axes xml:lang="it">
        <xAxis rank="1" legend-position="PlotBoundaryBottom" xml:lang="it">
          <axisLine position="origin" positionticmark="0" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">11</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <numberFormat xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">x</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <xyDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">-4</real>
            </startValue>
            <endValue xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">6</real>
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" xml:lang="it">
          <axisLine position="origin" positionticmark="4" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">11</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <numberFormat xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
                  <id xml:lang="it">dnorm</id>
                  <sequence xml:lang="it">
                    <id xml:lang="it">x</id>
                    <id xml:lang="it">μ</id>
                    <id xml:lang="it">σ</id>
                  </sequence>
                </apply>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
                  <id xml:lang="it">pnorm</id>
                  <sequence xml:lang="it">
                    <id xml:lang="it">x</id>
                    <id xml:lang="it">μ</id>
                    <id xml:lang="it">σ</id>
                  </sequence>
                </apply>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
                  <id xml:lang="it">cnorm</id>
                  <id xml:lang="it">x</id>
                </apply>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <xyDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
      </axes>
    </xyPlot>
  </plot>
</region>

<region id="ID0EWSVFB" top="672" left="48" height="46.888" width="158.74" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math xml:lang="it">
    <eval xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <apply xml:lang="it">
        <integral xml:lang="it" />
        <lambda xml:lang="it">
          <boundVars xml:lang="it">
            <id xml:lang="it">x</id>
          </boundVars>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <id xml:lang="it">x</id>
            <apply xml:lang="it">
              <id xml:lang="it">dnorm</id>
              <sequence xml:lang="it">
                <id xml:lang="it">x</id>
                <id xml:lang="it">μ</id>
                <id xml:lang="it">σ</id>
              </sequence>
            </apply>
          </apply>
        </lambda>
        <lowerBound xml:lang="it">
          <real xml:lang="it">-25</real>
        </lowerBound>
        <upperBound xml:lang="it">
          <real xml:lang="it">25</real>
        </upperBound>
      </apply>
      <result xml:lang="it">
        <real xml:lang="it">2</real>
      </result>
    </eval>
    <resultFormat xml:lang="it">
      <matrix size="12,12" offset="0,0" xml:lang="it" />
    </resultFormat>
  </math>
</region>

<region id="ID0EUZVFB" top="1128" left="24" height="256" width="549" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot origin-positioning="true" xml:lang="it">
    <xyPlot xml:lang="it">
      <title class="- topic/title " xml:lang="it" toc="yes" wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
      <legend xml:lang="it" />
      <traces xml:lang="it">
        <trace xml:lang="it" num-of-points="500">
          <traceStyle color="#FF00008B" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
        <trace xml:lang="it" num-of-points="500">
          <traceStyle color="#FF000000" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
        <trace xml:lang="it">
          <traceStyle color="#FFFF0000" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
        <trace xml:lang="it">
          <traceStyle color="#FF008000" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
        <trace xml:lang="it">
          <traceStyle color="#FF0000FF" symbol="none" line-weight="1" line-style="Solid" xml:lang="it">lines</traceStyle>
        </trace>
      </traces>
      <axes xml:lang="it">
        <xAxis rank="1" legend-position="PlotBoundaryBottom" xml:lang="it">
          <axisLine position="origin" positionticmark="0" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">11</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <numberFormat xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">x</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">x</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">x_75</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">x_90</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">x_95</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <xyDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">-4</real>
            </startValue>
            <secondTickValue xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">-3</real>
            </secondTickValue>
            <endValue xml:lang="it">
              <real xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">6</real>
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" xml:lang="it">
          <axisLine position="origin" positionticmark="4" xml:lang="it" />
          <axisGrid xml:lang="it">
            <gridFrequency xml:lang="it">11</gridFrequency>
            <gridLabels display="true" xml:lang="it" />
            <gridLines xml:lang="it" />
            <tickMarks display="true" xml:lang="it" />
          </axisGrid>
          <axisLabel xml:lang="it" />
          <markers xml:lang="it" />
          <numberFormat xml:lang="it" />
          <plotEquations xml:lang="it">
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
                  <id xml:lang="it">dnorm</id>
                  <sequence xml:lang="it">
                    <id xml:lang="it">x</id>
                    <id xml:lang="it">μ</id>
                    <id xml:lang="it">σ</id>
                  </sequence>
                </apply>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <apply xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
                  <id xml:lang="it">pnorm</id>
                  <sequence xml:lang="it">
                    <id xml:lang="it">x</id>
                    <id xml:lang="it">μ</id>
                    <id xml:lang="it">σ</id>
                  </sequence>
                </apply>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
            <plotEquation xml:lang="it">
              <math xml:lang="it">
                <id xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">range</id>
              </math>
              <math xml:lang="it">
                <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <xyDomain scale-type="linear" auto-scale="true" xml:lang="it">
            <startValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue xml:lang="it">
              <placeholder xml:lang="it" xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
      </axes>
    </xyPlot>
  </plot>
</region>