From 9468bda3dfcb03e097deb7cde48f49f44f6bc227 Mon Sep 17 00:00:00 2001
From: Benjamin Loison <benjamin_loison@users.noreply.gitea.lemnoslife.com>
Date: Sun, 7 Apr 2024 19:58:31 +0200
Subject: [PATCH] Update annotations

---
 ...ernoulli distribution - Wikipedia.xopp.xml | 39 +++++++++++++++-
 .../Poisson distribution - Wikipedia.xopp.xml | 46 ++++++++++++++++++-
 ...© de cours Variables alĂ©atoires finies.xopp.xml | 29 ++++++++++--
 3 files changed, 109 insertions(+), 5 deletions(-)

diff --git a/articles/Bernoulli distribution - Wikipedia/Bernoulli distribution - Wikipedia.xopp.xml b/articles/Bernoulli distribution - Wikipedia/Bernoulli distribution - Wikipedia.xopp.xml
index ef32f43..2f75a6a 100644
--- a/articles/Bernoulli distribution - Wikipedia/Bernoulli distribution - Wikipedia.xopp.xml	
+++ b/articles/Bernoulli distribution - Wikipedia/Bernoulli distribution - Wikipedia.xopp.xml	
@@ -30,11 +30,48 @@
       <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">48.92544420 225.35848868 290.71470857 225.35848868</stroke>
       <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">289.07923766 243.81070957 44.76877302 243.81070957</stroke>
       <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">44.98847027 257.25197165 123.09974814 257.25197165</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">306.63330078 421.09164429 369.33345891 421.09164429</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">427.75036621 425.95483398 474.55235769 425.95483398</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">426.30920410 453.30279541 466.39874268 455.27575684</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">305.55755615 492.90979004 327.48278809 490.74005127</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">426.13256836 486.90484619 426.13256836 508.63690186 519.65185547 508.63690186 519.65185547 486.90484619 426.13256836 486.90484619</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">308.25189209 671.86132812 354.47829378 671.86132812</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">428.17962646 674.16619873 482.32143170 674.16619873</stroke>
+      <text font="Sans" size="11.00000000" x="514.78900146" y="590.28610229" color="#00c0ffff" ts="0" fn="">means 0 or 1
+depending on
+the convetion?</text>
     </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="2"/>
-    <layer/>
+    <layer>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">115.88931274 627.26452637 120.54162888 631.91684250</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">120.51440430 631.94390869 127.80136108 617.64190674</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">204.67007446 628.86901855 209.65606689 632.61004639</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">209.65606689 632.61004639 217.05976442 619.78646611</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">293.55010986 628.92156982 298.51989746 632.47088623</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">298.51989746 632.76538086 304.63792354 622.16864886</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">340.52984619 627.46667480 344.49609375 632.46130371</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">344.49609375 632.46130371 352.10037264 619.29030632</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">399.63580322 631.79779053 404.29614258 635.96820068</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">404.29614258 635.96820068 413.01318359 623.00402832</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">371.13830566 574.79446411 373.44151835 578.78374551</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">373.43127441 578.78964233 379.77582203 567.80056352</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">394.86224365 572.66491699 397.83325195 576.48571777</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">397.83325195 576.48571777 403.39910889 565.21679688</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">104.44085693 341.31556702 106.80545044 344.84814453</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">106.80545044 344.84814453 113.69998169 335.51425171</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">140.17398071 515.92907715 146.38548766 522.14058409</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">146.32962036 522.19595337 156.63482666 507.33224487</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">112.01626587 517.14801025 116.85723377 521.98897815</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">116.86718750 521.97900391 127.12222290 509.69891357</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">270.68261719 412.54077148 276.12139893 419.70938110</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">275.95861816 419.54663086 284.34988494 405.01253047</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">341.41900635 414.51989746 345.85949707 419.58276367</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">345.85949707 419.58276367 355.18725586 405.06564331</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">104.01873779 414.21359253 107.65905762 418.17691040</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">107.65905762 418.17691040 114.47683716 409.73007202</stroke>
+    </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="3"/>
diff --git a/articles/Poisson distribution - Wikipedia/Poisson distribution - Wikipedia.xopp.xml b/articles/Poisson distribution - Wikipedia/Poisson distribution - Wikipedia.xopp.xml
index 3c1815b..0f7ea8d 100644
--- a/articles/Poisson distribution - Wikipedia/Poisson distribution - Wikipedia.xopp.xml	
+++ b/articles/Poisson distribution - Wikipedia/Poisson distribution - Wikipedia.xopp.xml	
@@ -37,6 +37,25 @@
       <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">316.13422400 430.57043314 393.11951916 430.57043314</stroke>
       <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">420.94202175 431.07159669 534.11452934 431.07159669</stroke>
       <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">337.99092744 447.35308304 510.54951345 447.35308304</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">306.63623047 728.28237915 350.03083306 728.28237915</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">381.07836914 728.71041870 407.72382179 728.71041870</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">307.06378174 747.42480469 366.62890144 747.42480469</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">380.47882080 747.75073242 451.76592575 747.75073242</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">44.92999268 442.11621094 99.45452881 444.75457764</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">166.40173340 441.63293457 209.60215863 441.63293457</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">111.55816650 455.56994629 140.03867361 455.56994629</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">162.79190063 456.50994873 258.75246550 456.50994873</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">141.34954834 470.48828125 158.44206435 470.48828125</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">183.72195435 470.69665527 238.66346257 470.69665527</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">43.21038818 511.46459961 291.42241692 511.46459961</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">44.54833984 524.96588135 187.87508430 524.96588135</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">45.28207397 593.31823730 121.66880741 593.31823730</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">157.53948975 606.96588135 287.67628623 606.96588135</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">44.41580200 621.82525635 232.91965185 621.82525635</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">86.49923706 347.41625977 290.67270522 347.41625977</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">46.42218018 362.49600220 286.79351001 362.49600220</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">45.18212891 379.00354004 180.94836265 379.00354004</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">75.91943359 399.78482056 75.91943359 419.53167725 105.45605469 419.53167725 105.45605469 399.78482056 75.91943359 399.78482056</stroke>
     </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
@@ -46,11 +65,36 @@
       <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">382.04518124 231.98852998 382.04518124 231.98852998</stroke>
       <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">382.71455027 300.04268334 382.71455027 300.04268334</stroke>
       <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">306.97520863 300.38754802 352.81472769 300.38754802</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">306.03222656 45.51226807 327.16076660 46.39172363</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">380.32781982 39.87506104 380.32781982 58.42578125 405.81292725 58.42578125 405.81292725 39.87506104 380.32781982 39.87506104</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">43.26376343 340.01507568 234.26543013 340.01507568</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">45.82058716 296.24285889 126.33161960 296.24285889</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">60.73214722 371.94482422 191.64322052 371.94482422</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">257.65490723 370.58053589 291.19185221 370.58053589</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">43.02877808 382.20391846 290.30313252 382.20391846</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">43.79855347 398.94131470 169.32798916 398.94131470</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">121.28720093 419.66113281 121.28720093 445.06115723 215.97497559 445.06115723 215.97497559 419.66113281 121.28720093 419.66113281</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">62.49523926 491.76464844 236.83890554 491.76464844</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">64.03182983 524.47473145 64.03182983 524.47473145</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">86.50683594 523.63189697 166.84224691 523.63189697</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">66.45343018 569.23608398 288.17464388 569.23608398</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">44.79705811 582.10699463 199.80765813 582.10699463</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">74.24508667 608.27276611 172.19796899 608.27276611</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">45.98184204 779.23443604 114.94424698 779.23443604</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">307.51184082 74.75186157 323.11671746 74.75186157</stroke>
     </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="3"/>
-    <layer/>
+    <layer>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">140.53445435 617.02801514 227.89618503 617.02801514</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">278.39398193 618.74630737 377.28949656 618.74630737</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">49.58020020 630.05511475 169.82461183 630.05511475</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">266.06384277 632.76980591 373.61953150 632.76980591</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">47.35577393 644.98269653 200.47782371 644.98269653</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">250.26812744 644.34216309 380.65710247 644.34216309</stroke>
+      <stroke tool="highlighter" color="#ffff007f" width="8.50000000" fill="128">110.56472778 699.18240356 135.56025289 699.18240356</stroke>
+    </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="4"/>
diff --git a/articles/Résumé de cours Variables aléatoires finies/Résumé de cours Variables aléatoires finies.xopp.xml b/articles/Résumé de cours Variables aléatoires finies/Résumé de cours Variables aléatoires finies.xopp.xml
index 5ae5662..d21232f 100644
--- a/articles/Résumé de cours Variables aléatoires finies/Résumé de cours Variables aléatoires finies.xopp.xml	
+++ b/articles/Résumé de cours Variables aléatoires finies/Résumé de cours Variables aléatoires finies.xopp.xml	
@@ -15,15 +15,38 @@
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="4"/>
-    <layer/>
+    <layer>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">73.45977783 694.06259155 138.66003195 694.06259155</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">252.41070557 716.90484619 252.41070557 744.94366455 375.45617676 744.94366455 375.45617676 716.90484619 252.41070557 716.90484619</stroke>
+    </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="5"/>
-    <layer/>
+    <layer>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">244.93057251 465.59494019 244.93057251 482.55279541 379.19940186 482.55279541 379.19940186 465.59494019 244.93057251 465.59494019</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">168.24481201 346.05801392 219.81264673 346.05801392</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">245.71145630 365.54067993 245.71145630 391.70416260 378.50512695 391.70416260 378.50512695 365.54067993 245.71145630 365.54067993</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">140.98248291 675.38015747 210.84814152 675.38015747</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">221.55715942 699.43289185 399.74188348 699.43289185</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">173.11038208 785.40142822 342.20681841 785.40142822</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">205.33947754 756.60037231 419.40646690 756.60037231</stroke>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">74.72717285 212.12194824 396.46608681 212.12194824</stroke>
+      <text font="Sans" size="11.00000000" x="256.98651123" y="703.87686157" color="#00c0ffff" ts="0" fn="">V(X+Y) = E((X+Y)&#xB2;) - (E(X+Y))&#xB2;
+              = E(X&#xB2;+2XY+Y&#xB2;) - (E(X) + E(Y))&#xB2;
+              = E(X&#xB2;) + 2E(XY) + E(Y&#xB2;) - E(X)&#xB2; -2E(X)E(Y) - E(Y)&#xB2;</text>
+      <text font="Sans" size="11.00000000" x="89.76882935" y="765.30111694" color="#00c0ffff" ts="0" fn="">V(X) + V(Y) = E(X&#xB2;) - E(X)&#xB2; + E(Y&#xB2;) - E(Y)&#xB2;</text>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">261.57043457 744.25915527 264.54760742 747.53289795</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">264.54760742 747.53289795 271.78380799 734.99943092</stroke>
+    </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="6"/>
-    <layer/>
+    <layer>
+      <stroke tool="highlighter" color="#00c0ff7f" width="8.50000000" fill="128">243.37326050 42.77722168 379.69421563 42.77722168</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">393.48840332 44.41912842 398.97363281 49.07730103</stroke>
+      <stroke tool="pen" ts="0" fn="" color="#00c0ffff" width="1.41000000">398.97363281 49.07730103 410.32211389 29.42115521</stroke>
+      <text font="Sans" size="11.00000000" x="417.73889160" y="39.05914307" color="#00c0ffff" ts="0" fn="">because E(XY) = E(X)E(Y)</text>
+    </layer>
   </page>
   <page width="596.00000000" height="842.00000000">
     <background type="pdf" pageno="7"/>