==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving' # Excalidraw Data ## Text Elements Raisonnement du data scientist ^KYEnfYWy Notre univers est rempli de phénomènes aléatoires ^bdPto1GB Dont les issues ne peuvent êtres prédites avec une parfaite certitude ^xdiuX0E9 Lancé de dé ^f4rWk5CI Duréé de vie d'une étoile ^6GoxGyCR Le nombre de voiture qui circulent chaque jour dans sa rue ^pe22Z01q La température de notre café ^aMG7f0fK L'heure à laquelle on va se réveiller demain ^I69n8jp8 Dans la pratique, on ne connait que très rarement le véritable domaine et la Loi de Probabilité qui caractérisent les phénomènes aléatoires qui nous entourent ^nmF4xk0n Quelle est la Variable Aléatoire qui décrit le nombre de voitures qui circulent chaque heure dans notre rue ? ^xJqJr8yf Fréquences ^FK9dmHi0 Issues ^kWpwVkBn 1 ^OL3u4YET 2 ^19VmBpjL 3 ^v4HQ00fh ... ^7ztnzHtJ En mathématique, on modélise ces phénomènes aléatoires avec des Variables Aléatoires (V.A.) Une V.A. est une application qui se caractérise par : - un domaine = l'ensemble des résultats possibles qui peuvent émerger des phénomènes - une loi de probabilité = la fréquence d'apparition de chacun de ces résultats ^9RR4kLPA Fréquences ^BDjzFm7r Issues ^Y5sX4tGz 1/6 ^HtmZpHUt 1/6 ^mhyeLSTJ 1/6 ^bQN0SAhI 1/6 ^OlmKyymq 1/6 ^V02o1zeF 1/6 ^DMQW2iFc 1 ^S7pOiI3o 2 ^I4Ylw2ZV 3 ^cfMwgXMf 4 ^70H5SJ78 5 ^A7RVRiMc 6 ^E3l2f2Q5 Les phénomènes aléatoires qui nous entourent sont semblables à des boîtes noires, dont on ignore le fonctionnement réel Tout ce qu'on peur faire, c'est observer un échantillon de ce que ces boîtes noires peuvent produire... ... et tenter d'en tirer des conclusions. ^jKgjUMWk Example : une boîte magique produit un nombre chaque seconde ^ERBkeRjy 3, 0, 0, 3, 0, 3, 2, 3, 3, 1, 0, 2, 0, 3, 3, 3, ... ^1fJSSWx7 --> Domaine : 0, 1, 2, 3 (?? p-e qu'un 4 va sortir, on en sait rien..) ^qiH28cjr Loi : ^aQGrIJBF 5 ^vwXuOJkl 1 ^MsP7yn5T 2 ^XlBsAnyV 8 ^eNwaK6HM 16 ^pi5tWkxB 16 ^jNCwcsLQ 16 ^t6ez7kXX 16 ^jEb1BCoJ En tant que Data Scientist, on doit être capable d'estimer du mieux possible : - Le domaine d'une V.A. - Sa Loi de Probabilité - La confiance que l'on a dans notre estimation ! -> il faut développer notre capacité à : 1. formuler des hypothèses 2. les tester rigoureusement 3. conclure avec confiance pour apporter de la valeur et continuer d'avancer ^T9Kfnztg C'est en fait le but même des statistiques que de chercher à approximer ce que peuvent être ces VA. ^yUAqoBiU Population ^aLPxkHc3 Échantillon ^7VScvZuf ## Embedded Files 0c54b216ba9572048cbb50807e88ab041d49c4cf8ce9fb81bd4dab0e51ec861c5df5a3bd927ed409c30ab43e7732c2c5: [[dé.svg]] 601ddc3b9b0b497ae816b666b65659dbfd45c3f3: [[univers.svg]] b8e966d15f3050e0522dcd8283798668678f9cff: [[voiture.svg]] %% ## Drawing ```compressed-json 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