On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.342, 0.458]], "scale": [6.0, 3879.3103448275865], "axisOpacity": 0.5, "axisArrows": "->", "gridOpacity": 0.15, "gridStep": [100, 0.005], "tickStep": [1, 1], "labelStep": [1, 10], "xLabel": "N\u00b0 d'\u00e9chantillon", "yLabel": "Fr\u00e9quences"}, "label": [[[0.20000000000000018, 0.34], "0,34", "left", {"font-size": 13}]], "path": [[[[0, 0.4], [100, 0.4]]], [[[1, 0.397224], [1, 0.399776]], {"stroke": "red"}], [[[0.29999999999999993, 0.3985], [1.7000000000000002, 0.3985]], {"stroke": "red"}], [[[2, 0.384324], [2, 0.386876]], {"stroke": "red"}], [[[1.2999999999999998, 0.3856], [2.7, 0.3856]], {"stroke": "red"}], [[[3, 0.378824], [3, 0.381376]], {"stroke": "red"}], [[[2.3, 0.3801], [3.7, 0.3801]], {"stroke": "red"}], [[[4, 0.369424], [4, 0.371976]], {"stroke": "red"}], [[[3.3, 0.3707], [4.7, 0.3707]], {"stroke": "red"}], [[[5, 0.408424], [5, 0.410976]], {"stroke": "red"}], [[[4.3, 0.4097], [5.7, 0.4097]], {"stroke": "red"}], [[[6, 0.389224], [6, 0.391776]], {"stroke": "red"}], [[[5.3, 0.3905], [6.7, 0.3905]], {"stroke": "red"}], [[[7, 0.407724], [7, 0.410276]], {"stroke": "red"}], [[[6.3, 0.409], [7.7, 0.409]], {"stroke": "red"}], [[[8, 0.418124], [8, 0.420676]], {"stroke": "red"}], [[[7.3, 0.4194], [8.7, 0.4194]], {"stroke": "red"}], [[[9, 0.391824], [9, 0.394376]], {"stroke": "red"}], [[[8.3, 0.3931], [9.7, 0.3931]], {"stroke": "red"}], [[[10, 0.366624], [10, 0.369176]], {"stroke": "red"}], [[[9.3, 0.3679], [10.7, 0.3679]], {"stroke": "red"}], [[[11, 0.402724], [11, 0.405276]], {"stroke": "red"}], [[[10.3, 0.404], [11.7, 0.404]], {"stroke": "red"}], [[[12, 0.414124], [12, 0.416676]], {"stroke": "red"}], [[[11.3, 0.4154], [12.7, 0.4154]], {"stroke": "red"}], [[[13, 0.363724], [13, 0.366276]], {"stroke": "red"}], [[[12.3, 0.365], [13.7, 0.365]], {"stroke": "red"}], [[[14, 0.372724], [14, 0.375276]], {"stroke": "red"}], [[[13.3, 0.374], [14.7, 0.374]], {"stroke": "red"}], [[[15, 0.375424], [15, 0.377976]], {"stroke": "red"}], [[[14.3, 0.3767], [15.7, 0.3767]], {"stroke": "red"}], [[[16, 0.392324], [16, 0.394876]], {"stroke": "red"}], [[[15.3, 0.3936], [16.7, 0.3936]], {"stroke": "red"}], [[[17, 0.407024], [17, 0.409576]], {"stroke": "red"}], [[[16.3, 0.4083], [17.7, 0.4083]], {"stroke": "red"}], [[[18, 0.407924], [18, 0.410476]], {"stroke": "red"}], [[[17.3, 0.4092], [18.7, 0.4092]], {"stroke": "red"}], [[[19, 0.387924], [19, 0.390476]], {"stroke": "red"}], [[[18.3, 0.3892], [19.7, 0.3892]], {"stroke": "red"}], [[[20, 0.396524], [20, 0.399076]], {"stroke": "red"}], [[[19.3, 0.3978], [20.7, 0.3978]], {"stroke": "red"}], [[[21, 0.410624], [21, 0.413176]], {"stroke": "red"}], [[[20.3, 0.4119], [21.7, 0.4119]], {"stroke": "red"}], [[[22, 0.428824], [22, 0.431376]], {"stroke": "red"}], [[[21.3, 0.4301], [22.7, 0.4301]], {"stroke": "red"}], [[[23, 0.370024], [23, 0.372576]], {"stroke": "red"}], [[[22.3, 0.3713], [23.7, 0.3713]], {"stroke": "red"}], [[[24, 0.399124], [24, 0.401676]], {"stroke": "red"}], [[[23.3, 0.4004], [24.7, 0.4004]], {"stroke": "red"}], [[[25, 0.394924], [25, 0.397476]], {"stroke": "red"}], [[[24.3, 0.3962], [25.7, 0.3962]], {"stroke": "red"}], [[[26, 0.394924], [26, 0.397476]], {"stroke": "red"}], [[[25.3, 0.3962], [26.7, 0.3962]], {"stroke": "red"}], [[[27, 0.382924], [27, 0.385476]], {"stroke": "red"}], [[[26.3, 0.3842], [27.7, 0.3842]], {"stroke": "red"}], [[[28, 0.398024], [28, 0.400576]], {"stroke": "red"}], [[[27.3, 0.3993], [28.7, 0.3993]], {"stroke": "red"}], [[[29, 0.399324], [29, 0.401876]], {"stroke": "red"}], [[[28.3, 0.4006], [29.7, 0.4006]], {"stroke": "red"}], [[[30, 0.413624], [30, 0.416176]], {"stroke": "red"}], [[[29.3, 0.4149], [30.7, 0.4149]], {"stroke": "red"}], [[[31, 0.391824], [31, 0.394376]], {"stroke": "red"}], [[[30.3, 0.3931], [31.7, 0.3931]], {"stroke": "red"}], [[[32, 0.388424], [32, 0.390976]], {"stroke": "red"}], [[[31.3, 0.3897], [32.7, 0.3897]], {"stroke": "red"}], [[[33, 0.397624], [33, 0.400176]], {"stroke": "red"}], [[[32.3, 0.3989], [33.7, 0.3989]], {"stroke": "red"}], [[[34, 0.399524], [34, 0.402076]], {"stroke": "red"}], [[[33.3, 0.4008], [34.7, 0.4008]], {"stroke": "red"}], [[[35, 0.414424], [35, 0.416976]], {"stroke": "red"}], [[[34.3, 0.4157], [35.7, 0.4157]], {"stroke": "red"}], [[[36, 0.410724], [36, 0.413276]], {"stroke": "red"}], [[[35.3, 0.412], [36.7, 0.412]], {"stroke": "red"}], [[[37, 0.398024], [37, 0.400576]], {"stroke": "red"}], [[[36.3, 0.3993], [37.7, 0.3993]], {"stroke": "red"}], [[[38, 0.422424], [38, 0.424976]], {"stroke": "red"}], [[[37.3, 0.4237], [38.7, 0.4237]], {"stroke": "red"}], [[[39, 0.406524], [39, 0.409076]], {"stroke": "red"}], [[[38.3, 0.4078], [39.7, 0.4078]], {"stroke": "red"}], [[[40, 0.367924], [40, 0.37047599999999997]], {"stroke": "red"}], [[[39.3, 0.3692], [40.7, 0.3692]], {"stroke": "red"}], [[[41, 0.384624], [41, 0.387176]], {"stroke": "red"}], [[[40.3, 0.3859], [41.7, 0.3859]], {"stroke": "red"}], [[[42, 0.401124], [42, 0.403676]], {"stroke": "red"}], [[[41.3, 0.4024], [42.7, 0.4024]], {"stroke": "red"}], [[[43, 0.383824], [43, 0.386376]], {"stroke": "red"}], [[[42.3, 0.3851], [43.7, 0.3851]], {"stroke": "red"}], [[[44, 0.433724], [44, 0.436276]], {"stroke": "red"}], [[[43.3, 0.435], [44.7, 0.435]], {"stroke": "red"}], [[[45, 0.396024], [45, 0.398576]], {"stroke": "red"}], [[[44.3, 0.3973], [45.7, 0.3973]], {"stroke": "red"}], [[[46, 0.389924], [46, 0.392476]], {"stroke": "red"}], [[[45.3, 0.3912], [46.7, 0.3912]], {"stroke": "red"}], [[[47, 0.40472400000000003], [47, 0.407276]], {"stroke": "red"}], [[[46.3, 0.406], [47.7, 0.406]], {"stroke": "red"}], [[[48, 0.403124], [48, 0.405676]], {"stroke": "red"}], [[[47.3, 0.4044], [48.7, 0.4044]], {"stroke": "red"}], [[[49, 0.381724], [49, 0.384276]], {"stroke": "red"}], [[[48.3, 0.383], [49.7, 0.383]], {"stroke": "red"}], [[[50, 0.428524], [50, 0.431076]], {"stroke": "red"}], [[[49.3, 0.4298], [50.7, 0.4298]], {"stroke": "red"}], [[[51, 0.393024], [51, 0.395576]], {"stroke": "red"}], [[[50.3, 0.3943], [51.7, 0.3943]], {"stroke": "red"}], [[[52, 0.366424], [52, 0.368976]], {"stroke": "red"}], [[[51.3, 0.3677], [52.7, 0.3677]], {"stroke": "red"}], [[[53, 0.425524], [53, 0.428076]], {"stroke": "red"}], [[[52.3, 0.4268], [53.7, 0.4268]], {"stroke": "red"}], [[[54, 0.394424], [54, 0.396976]], {"stroke": "red"}], [[[53.3, 0.3957], [54.7, 0.3957]], {"stroke": "red"}], [[[55, 0.385724], [55, 0.388276]], {"stroke": "red"}], [[[54.3, 0.387], [55.7, 0.387]], {"stroke": "red"}], [[[56, 0.395024], [56, 0.397576]], {"stroke": "red"}], [[[55.3, 0.3963], [56.7, 0.3963]], {"stroke": "red"}], [[[57, 0.386124], [57, 0.388676]], {"stroke": "red"}], [[[56.3, 0.3874], [57.7, 0.3874]], {"stroke": "red"}], [[[58, 0.389024], [58, 0.391576]], {"stroke": "red"}], [[[57.3, 0.3903], [58.7, 0.3903]], {"stroke": "red"}], [[[59, 0.379424], [59, 0.381976]], {"stroke": "red"}], [[[58.3, 0.3807], [59.7, 0.3807]], {"stroke": "red"}], [[[60, 0.392624], [60, 0.39517599999999997]], {"stroke": "red"}], [[[59.3, 0.3939], [60.7, 0.3939]], {"stroke": "red"}], [[[61, 0.403824], [61, 0.406376]], {"stroke": "red"}], [[[60.3, 0.4051], [61.7, 0.4051]], {"stroke": "red"}], [[[62, 0.397724], [62, 0.400276]], {"stroke": "red"}], [[[61.3, 0.399], [62.7, 0.399]], {"stroke": "red"}], [[[63, 0.399424], [63, 0.401976]], {"stroke": "red"}], [[[62.3, 0.4007], [63.7, 0.4007]], {"stroke": "red"}], [[[64, 0.381224], [64, 0.383776]], {"stroke": "red"}], [[[63.3, 0.3825], [64.7, 0.3825]], {"stroke": "red"}], [[[65, 0.416524], [65, 0.419076]], {"stroke": "red"}], [[[64.3, 0.4178], [65.7, 0.4178]], {"stroke": "red"}], [[[66, 0.396324], [66, 0.398876]], {"stroke": "red"}], [[[65.3, 0.3976], [66.7, 0.3976]], {"stroke": "red"}], [[[67, 0.406524], [67, 0.409076]], {"stroke": "red"}], [[[66.3, 0.4078], [67.7, 0.4078]], {"stroke": "red"}], [[[68, 0.404624], [68, 0.407176]], {"stroke": "red"}], [[[67.3, 0.4059], [68.7, 0.4059]], {"stroke": "red"}], [[[69, 0.409924], [69, 0.412476]], {"stroke": "red"}], [[[68.3, 0.4112], [69.7, 0.4112]], {"stroke": "red"}], [[[70, 0.414924], [70, 0.417476]], {"stroke": "red"}], [[[69.3, 0.4162], [70.7, 0.4162]], {"stroke": "red"}], [[[71, 0.377424], [71, 0.379976]], {"stroke": "red"}], [[[70.3, 0.3787], [71.7, 0.3787]], {"stroke": "red"}], [[[72, 0.385024], [72, 0.387576]], {"stroke": "red"}], [[[71.3, 0.3863], [72.7, 0.3863]], {"stroke": "red"}], [[[73, 0.427924], [73, 0.430476]], {"stroke": "red"}], [[[72.3, 0.4292], [73.7, 0.4292]], {"stroke": "red"}], [[[74, 0.403024], [74, 0.405576]], {"stroke": "red"}], [[[73.3, 0.4043], [74.7, 0.4043]], {"stroke": "red"}], [[[75, 0.409824], [75, 0.412376]], {"stroke": "red"}], [[[74.3, 0.4111], [75.7, 0.4111]], {"stroke": "red"}], [[[76, 0.386224], [76, 0.388776]], {"stroke": "red"}], [[[75.3, 0.3875], [76.7, 0.3875]], {"stroke": "red"}], [[[77, 0.372424], [77, 0.374976]], {"stroke": "red"}], [[[76.3, 0.3737], [77.7, 0.3737]], {"stroke": "red"}], [[[78, 0.379724], [78, 0.382276]], {"stroke": "red"}], [[[77.3, 0.381], [78.7, 0.381]], {"stroke": "red"}], [[[79, 0.417424], [79, 0.419976]], {"stroke": "red"}], [[[78.3, 0.4187], [79.7, 0.4187]], {"stroke": "red"}], [[[80, 0.411224], [80, 0.413776]], {"stroke": "red"}], [[[79.3, 0.4125], [80.7, 0.4125]], {"stroke": "red"}], [[[81, 0.408924], [81, 0.411476]], {"stroke": "red"}], [[[80.3, 0.4102], [81.7, 0.4102]], {"stroke": "red"}], [[[82, 0.378324], [82, 0.380876]], {"stroke": "red"}], [[[81.3, 0.3796], [82.7, 0.3796]], {"stroke": "red"}], [[[83, 0.400624], [83, 0.403176]], {"stroke": "red"}], [[[82.3, 0.4019], [83.7, 0.4019]], {"stroke": "red"}], [[[84, 0.380524], [84, 0.38307599999999997]], {"stroke": "red"}], [[[83.3, 0.3818], [84.7, 0.3818]], {"stroke": "red"}], [[[85, 0.391224], [85, 0.393776]], {"stroke": "red"}], [[[84.3, 0.3925], [85.7, 0.3925]], {"stroke": "red"}], [[[86, 0.385124], [86, 0.387676]], {"stroke": "red"}], [[[85.3, 0.3864], [86.7, 0.3864]], {"stroke": "red"}], [[[87, 0.386824], [87, 0.389376]], {"stroke": "red"}], [[[86.3, 0.3881], [87.7, 0.3881]], {"stroke": "red"}], [[[88, 0.412124], [88, 0.414676]], {"stroke": "red"}], [[[87.3, 0.4134], [88.7, 0.4134]], {"stroke": "red"}], [[[89, 0.400824], [89, 0.403376]], {"stroke": "red"}], [[[88.3, 0.4021], [89.7, 0.4021]], {"stroke": "red"}], [[[90, 0.412124], [90, 0.414676]], {"stroke": "red"}], [[[89.3, 0.4134], [90.7, 0.4134]], {"stroke": "red"}], [[[91, 0.394024], [91, 0.396576]], {"stroke": "red"}], [[[90.3, 0.3953], [91.7, 0.3953]], {"stroke": "red"}], [[[92, 0.374724], [92, 0.377276]], {"stroke": "red"}], [[[91.3, 0.376], [92.7, 0.376]], {"stroke": "red"}], [[[93, 0.379324], [93, 0.381876]], {"stroke": "red"}], [[[92.3, 0.3806], [93.7, 0.3806]], {"stroke": "red"}], [[[94, 0.391724], [94, 0.394276]], {"stroke": "red"}], [[[93.3, 0.393], [94.7, 0.393]], {"stroke": "red"}], [[[95, 0.371124], [95, 0.373676]], {"stroke": "red"}], [[[94.3, 0.3724], [95.7, 0.3724]], {"stroke": "red"}], [[[96, 0.421224], [96, 0.423776]], {"stroke": "red"}], [[[95.3, 0.4225], [96.7, 0.4225]], {"stroke": "red"}], [[[97, 0.418824], [97, 0.421376]], {"stroke": "red"}], [[[96.3, 0.4201], [97.7, 0.4201]], {"stroke": "red"}], [[[98, 0.399624], [98, 0.402176]], {"stroke": "red"}], [[[97.3, 0.4009], [98.7, 0.4009]], {"stroke": "red"}], [[[99, 0.414524], [99, 0.417076]], {"stroke": "red"}], [[[98.3, 0.4158], [99.7, 0.4158]], {"stroke": "red"}], [[[100, 0.400824], [100, 0.403376]], {"stroke": "red"}], [[[99.3, 0.4021], [100.7, 0.4021]], {"stroke": "red"}]]}
Déduire de ce graphique une valeur approchée de la taille \( N \) des échantillons puis choisir
la valeur exacte la plus proche parmis les choix suivant.