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 @@
48.92544420 225.35848868 290.71470857 225.35848868
289.07923766 243.81070957 44.76877302 243.81070957
44.98847027 257.25197165 123.09974814 257.25197165
+ 306.63330078 421.09164429 369.33345891 421.09164429
+ 427.75036621 425.95483398 474.55235769 425.95483398
+ 426.30920410 453.30279541 466.39874268 455.27575684
+ 305.55755615 492.90979004 327.48278809 490.74005127
+ 426.13256836 486.90484619 426.13256836 508.63690186 519.65185547 508.63690186 519.65185547 486.90484619 426.13256836 486.90484619
+ 308.25189209 671.86132812 354.47829378 671.86132812
+ 428.17962646 674.16619873 482.32143170 674.16619873
+ means 0 or 1
+depending on
+the convetion?
-
+
+ 115.88931274 627.26452637 120.54162888 631.91684250
+ 120.51440430 631.94390869 127.80136108 617.64190674
+ 204.67007446 628.86901855 209.65606689 632.61004639
+ 209.65606689 632.61004639 217.05976442 619.78646611
+ 293.55010986 628.92156982 298.51989746 632.47088623
+ 298.51989746 632.76538086 304.63792354 622.16864886
+ 340.52984619 627.46667480 344.49609375 632.46130371
+ 344.49609375 632.46130371 352.10037264 619.29030632
+ 399.63580322 631.79779053 404.29614258 635.96820068
+ 404.29614258 635.96820068 413.01318359 623.00402832
+ 371.13830566 574.79446411 373.44151835 578.78374551
+ 373.43127441 578.78964233 379.77582203 567.80056352
+ 394.86224365 572.66491699 397.83325195 576.48571777
+ 397.83325195 576.48571777 403.39910889 565.21679688
+ 104.44085693 341.31556702 106.80545044 344.84814453
+ 106.80545044 344.84814453 113.69998169 335.51425171
+ 140.17398071 515.92907715 146.38548766 522.14058409
+ 146.32962036 522.19595337 156.63482666 507.33224487
+ 112.01626587 517.14801025 116.85723377 521.98897815
+ 116.86718750 521.97900391 127.12222290 509.69891357
+ 270.68261719 412.54077148 276.12139893 419.70938110
+ 275.95861816 419.54663086 284.34988494 405.01253047
+ 341.41900635 414.51989746 345.85949707 419.58276367
+ 345.85949707 419.58276367 355.18725586 405.06564331
+ 104.01873779 414.21359253 107.65905762 418.17691040
+ 107.65905762 418.17691040 114.47683716 409.73007202
+
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 @@
316.13422400 430.57043314 393.11951916 430.57043314
420.94202175 431.07159669 534.11452934 431.07159669
337.99092744 447.35308304 510.54951345 447.35308304
+ 306.63623047 728.28237915 350.03083306 728.28237915
+ 381.07836914 728.71041870 407.72382179 728.71041870
+ 307.06378174 747.42480469 366.62890144 747.42480469
+ 380.47882080 747.75073242 451.76592575 747.75073242
+ 44.92999268 442.11621094 99.45452881 444.75457764
+ 166.40173340 441.63293457 209.60215863 441.63293457
+ 111.55816650 455.56994629 140.03867361 455.56994629
+ 162.79190063 456.50994873 258.75246550 456.50994873
+ 141.34954834 470.48828125 158.44206435 470.48828125
+ 183.72195435 470.69665527 238.66346257 470.69665527
+ 43.21038818 511.46459961 291.42241692 511.46459961
+ 44.54833984 524.96588135 187.87508430 524.96588135
+ 45.28207397 593.31823730 121.66880741 593.31823730
+ 157.53948975 606.96588135 287.67628623 606.96588135
+ 44.41580200 621.82525635 232.91965185 621.82525635
+ 86.49923706 347.41625977 290.67270522 347.41625977
+ 46.42218018 362.49600220 286.79351001 362.49600220
+ 45.18212891 379.00354004 180.94836265 379.00354004
+ 75.91943359 399.78482056 75.91943359 419.53167725 105.45605469 419.53167725 105.45605469 399.78482056 75.91943359 399.78482056
@@ -46,11 +65,36 @@
382.04518124 231.98852998 382.04518124 231.98852998
382.71455027 300.04268334 382.71455027 300.04268334
306.97520863 300.38754802 352.81472769 300.38754802
+ 306.03222656 45.51226807 327.16076660 46.39172363
+ 380.32781982 39.87506104 380.32781982 58.42578125 405.81292725 58.42578125 405.81292725 39.87506104 380.32781982 39.87506104
+ 43.26376343 340.01507568 234.26543013 340.01507568
+ 45.82058716 296.24285889 126.33161960 296.24285889
+ 60.73214722 371.94482422 191.64322052 371.94482422
+ 257.65490723 370.58053589 291.19185221 370.58053589
+ 43.02877808 382.20391846 290.30313252 382.20391846
+ 43.79855347 398.94131470 169.32798916 398.94131470
+ 121.28720093 419.66113281 121.28720093 445.06115723 215.97497559 445.06115723 215.97497559 419.66113281 121.28720093 419.66113281
+ 62.49523926 491.76464844 236.83890554 491.76464844
+ 64.03182983 524.47473145 64.03182983 524.47473145
+ 86.50683594 523.63189697 166.84224691 523.63189697
+ 66.45343018 569.23608398 288.17464388 569.23608398
+ 44.79705811 582.10699463 199.80765813 582.10699463
+ 74.24508667 608.27276611 172.19796899 608.27276611
+ 45.98184204 779.23443604 114.94424698 779.23443604
+ 307.51184082 74.75186157 323.11671746 74.75186157
-
+
+ 140.53445435 617.02801514 227.89618503 617.02801514
+ 278.39398193 618.74630737 377.28949656 618.74630737
+ 49.58020020 630.05511475 169.82461183 630.05511475
+ 266.06384277 632.76980591 373.61953150 632.76980591
+ 47.35577393 644.98269653 200.47782371 644.98269653
+ 250.26812744 644.34216309 380.65710247 644.34216309
+ 110.56472778 699.18240356 135.56025289 699.18240356
+
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 @@
-
+
+ 73.45977783 694.06259155 138.66003195 694.06259155
+ 252.41070557 716.90484619 252.41070557 744.94366455 375.45617676 744.94366455 375.45617676 716.90484619 252.41070557 716.90484619
+
-
+
+ 244.93057251 465.59494019 244.93057251 482.55279541 379.19940186 482.55279541 379.19940186 465.59494019 244.93057251 465.59494019
+ 168.24481201 346.05801392 219.81264673 346.05801392
+ 245.71145630 365.54067993 245.71145630 391.70416260 378.50512695 391.70416260 378.50512695 365.54067993 245.71145630 365.54067993
+ 140.98248291 675.38015747 210.84814152 675.38015747
+ 221.55715942 699.43289185 399.74188348 699.43289185
+ 173.11038208 785.40142822 342.20681841 785.40142822
+ 205.33947754 756.60037231 419.40646690 756.60037231
+ 74.72717285 212.12194824 396.46608681 212.12194824
+ V(X+Y) = E((X+Y)²) - (E(X+Y))²
+ = E(X²+2XY+Y²) - (E(X) + E(Y))²
+ = E(X²) + 2E(XY) + E(Y²) - E(X)² -2E(X)E(Y) - E(Y)²
+ V(X) + V(Y) = E(X²) - E(X)² + E(Y²) - E(Y)²
+ 261.57043457 744.25915527 264.54760742 747.53289795
+ 264.54760742 747.53289795 271.78380799 734.99943092
+
-
+
+ 243.37326050 42.77722168 379.69421563 42.77722168
+ 393.48840332 44.41912842 398.97363281 49.07730103
+ 398.97363281 49.07730103 410.32211389 29.42115521
+ because E(XY) = E(X)E(Y)
+