On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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[[[6, 0.388904], [6, 0.391896]], {"stroke": "red"}], [[[5.3, 0.3904], [6.7, 0.3904]], {"stroke": "red"}], [[[7, 0.401004], [7, 0.403996]], {"stroke": "red"}], [[[6.3, 0.4025], [7.7, 0.4025]], {"stroke": "red"}], [[[8, 0.393704], [8, 0.396696]], {"stroke": "red"}], [[[7.3, 0.3952], [8.7, 0.3952]], {"stroke": "red"}], [[[9, 0.394504], [9, 0.397496]], {"stroke": "red"}], [[[8.3, 0.396], [9.7, 0.396]], {"stroke": "red"}], [[[10, 0.398304], [10, 0.401296]], {"stroke": "red"}], [[[9.3, 0.3998], [10.7, 0.3998]], {"stroke": "red"}], [[[11, 0.423004], [11, 0.425996]], {"stroke": "red"}], [[[10.3, 0.4245], [11.7, 0.4245]], {"stroke": "red"}], [[[12, 0.408904], [12, 0.411896]], {"stroke": "red"}], [[[11.3, 0.4104], [12.7, 0.4104]], {"stroke": "red"}], [[[13, 0.405404], [13, 0.408396]], {"stroke": "red"}], [[[12.3, 0.4069], [13.7, 0.4069]], {"stroke": "red"}], [[[14, 0.420704], [14, 0.423696]], {"stroke": "red"}], [[[13.3, 0.4222], [14.7, 0.4222]], {"stroke": "red"}], [[[15, 0.413404], [15, 0.416396]], {"stroke": "red"}], [[[14.3, 0.4149], [15.7, 0.4149]], {"stroke": "red"}], [[[16, 0.396904], [16, 0.399896]], {"stroke": "red"}], [[[15.3, 0.3984], [16.7, 0.3984]], {"stroke": "red"}], [[[17, 0.410004], [17, 0.412996]], {"stroke": "red"}], [[[16.3, 0.4115], [17.7, 0.4115]], {"stroke": "red"}], [[[18, 0.402304], [18, 0.405296]], {"stroke": "red"}], [[[17.3, 0.4038], [18.7, 0.4038]], {"stroke": "red"}], [[[19, 0.412404], [19, 0.415396]], {"stroke": "red"}], [[[18.3, 0.4139], [19.7, 0.4139]], {"stroke": "red"}], [[[20, 0.414304], [20, 0.417296]], {"stroke": "red"}], [[[19.3, 0.4158], [20.7, 0.4158]], {"stroke": "red"}], [[[21, 0.426304], [21, 0.429296]], {"stroke": "red"}], [[[20.3, 0.4278], [21.7, 0.4278]], {"stroke": "red"}], [[[22, 0.412604], [22, 0.415596]], {"stroke": "red"}], [[[21.3, 0.4141], [22.7, 0.4141]], {"stroke": "red"}], [[[23, 0.408704], [23, 0.411696]], {"stroke": "red"}], [[[22.3, 0.4102], [23.7, 0.4102]], {"stroke": "red"}], [[[24, 0.407404], [24, 0.410396]], {"stroke": "red"}], [[[23.3, 0.4089], [24.7, 0.4089]], {"stroke": "red"}], [[[25, 0.425904], [25, 0.428896]], {"stroke": "red"}], [[[24.3, 0.4274], [25.7, 0.4274]], {"stroke": "red"}], [[[26, 0.391204], [26, 0.394196]], {"stroke": "red"}], [[[25.3, 0.3927], [26.7, 0.3927]], {"stroke": "red"}], [[[27, 0.40450400000000003], [27, 0.407496]], {"stroke": "red"}], [[[26.3, 0.406], [27.7, 0.406]], {"stroke": "red"}], [[[28, 0.409404], [28, 0.412396]], {"stroke": "red"}], [[[27.3, 0.4109], [28.7, 0.4109]], {"stroke": "red"}], [[[29, 0.382104], [29, 0.385096]], {"stroke": "red"}], [[[28.3, 0.3836], [29.7, 0.3836]], {"stroke": "red"}], [[[30, 0.399104], [30, 0.402096]], {"stroke": "red"}], [[[29.3, 0.4006], [30.7, 0.4006]], {"stroke": "red"}], [[[31, 0.419404], [31, 0.422396]], {"stroke": "red"}], [[[30.3, 0.4209], [31.7, 0.4209]], {"stroke": "red"}], [[[32, 0.393104], [32, 0.396096]], {"stroke": "red"}], [[[31.3, 0.3946], [32.7, 0.3946]], {"stroke": "red"}], [[[33, 0.373504], [33, 0.376496]], {"stroke": "red"}], [[[32.3, 0.375], [33.7, 0.375]], {"stroke": "red"}], [[[34, 0.411504], [34, 0.414496]], {"stroke": "red"}], [[[33.3, 0.413], [34.7, 0.413]], {"stroke": "red"}], [[[35, 0.443504], [35, 0.446496]], {"stroke": "red"}], [[[34.3, 0.445], [35.7, 0.445]], {"stroke": "red"}], [[[36, 0.384404], [36, 0.387396]], {"stroke": "red"}], [[[35.3, 0.3859], [36.7, 0.3859]], {"stroke": "red"}], [[[37, 0.394204], [37, 0.397196]], {"stroke": "red"}], [[[36.3, 0.3957], [37.7, 0.3957]], {"stroke": "red"}], [[[38, 0.400404], [38, 0.403396]], {"stroke": "red"}], [[[37.3, 0.4019], [38.7, 0.4019]], {"stroke": "red"}], [[[39, 0.40250400000000003], [39, 0.405496]], {"stroke": "red"}], [[[38.3, 0.404], [39.7, 0.404]], {"stroke": "red"}], [[[40, 0.420104], [40, 0.42309599999999997]], {"stroke": "red"}], [[[39.3, 0.4216], [40.7, 0.4216]], {"stroke": "red"}], [[[41, 0.411604], [41, 0.414596]], {"stroke": "red"}], [[[40.3, 0.4131], [41.7, 0.4131]], {"stroke": "red"}], [[[42, 0.384304], [42, 0.387296]], {"stroke": "red"}], [[[41.3, 0.3858], [42.7, 0.3858]], {"stroke": "red"}], [[[43, 0.390104], [43, 0.393096]], {"stroke": "red"}], [[[42.3, 0.3916], [43.7, 0.3916]], {"stroke": "red"}], [[[44, 0.413604], [44, 0.416596]], {"stroke": "red"}], [[[43.3, 0.4151], [44.7, 0.4151]], {"stroke": "red"}], [[[45, 0.410904], [45, 0.413896]], {"stroke": "red"}], [[[44.3, 0.4124], [45.7, 0.4124]], {"stroke": "red"}], [[[46, 0.413804], [46, 0.416796]], {"stroke": "red"}], [[[45.3, 0.4153], [46.7, 0.4153]], {"stroke": "red"}], [[[47, 0.405404], [47, 0.408396]], {"stroke": "red"}], [[[46.3, 0.4069], [47.7, 0.4069]], {"stroke": "red"}], [[[48, 0.41460400000000003], [48, 0.417596]], {"stroke": "red"}], [[[47.3, 0.4161], [48.7, 0.4161]], {"stroke": "red"}], [[[49, 0.432604], [49, 0.435596]], {"stroke": "red"}], [[[48.3, 0.4341], [49.7, 0.4341]], {"stroke": "red"}], [[[50, 0.388504], [50, 0.391496]], {"stroke": "red"}], [[[49.3, 0.39], [50.7, 0.39]], {"stroke": "red"}], [[[51, 0.391104], [51, 0.394096]], {"stroke": "red"}], [[[50.3, 0.3926], [51.7, 0.3926]], {"stroke": "red"}], [[[52, 0.409804], [52, 0.412796]], {"stroke": "red"}], [[[51.3, 0.4113], [52.7, 0.4113]], {"stroke": "red"}], [[[53, 0.381104], [53, 0.384096]], {"stroke": "red"}], [[[52.3, 0.3826], [53.7, 0.3826]], {"stroke": "red"}], [[[54, 0.407904], [54, 0.410896]], {"stroke": "red"}], [[[53.3, 0.4094], [54.7, 0.4094]], {"stroke": "red"}], [[[55, 0.386204], [55, 0.389196]], {"stroke": "red"}], [[[54.3, 0.3877], [55.7, 0.3877]], {"stroke": "red"}], [[[56, 0.412004], [56, 0.414996]], {"stroke": "red"}], [[[55.3, 0.4135], [56.7, 0.4135]], {"stroke": "red"}], [[[57, 0.376104], [57, 0.379096]], {"stroke": "red"}], [[[56.3, 0.3776], [57.7, 0.3776]], {"stroke": "red"}], [[[58, 0.405704], [58, 0.408696]], {"stroke": "red"}], [[[57.3, 0.4072], [58.7, 0.4072]], {"stroke": "red"}], [[[59, 0.423404], [59, 0.426396]], {"stroke": "red"}], [[[58.3, 0.4249], [59.7, 0.4249]], {"stroke": "red"}], [[[60, 0.429904], [60, 0.432896]], {"stroke": "red"}], [[[59.3, 0.4314], [60.7, 0.4314]], {"stroke": "red"}], [[[61, 0.419204], [61, 0.422196]], {"stroke": "red"}], [[[60.3, 0.4207], [61.7, 0.4207]], {"stroke": "red"}], [[[62, 0.391304], [62, 0.394296]], {"stroke": "red"}], [[[61.3, 0.3928], [62.7, 0.3928]], {"stroke": "red"}], [[[63, 0.401604], [63, 0.404596]], {"stroke": "red"}], [[[62.3, 0.4031], [63.7, 0.4031]], {"stroke": "red"}], [[[64, 0.417304], [64, 0.420296]], {"stroke": "red"}], [[[63.3, 0.4188], [64.7, 0.4188]], {"stroke": "red"}], [[[65, 0.430104], [65, 0.433096]], {"stroke": "red"}], [[[64.3, 0.4316], [65.7, 0.4316]], {"stroke": "red"}], [[[66, 0.393104], [66, 0.396096]], {"stroke": "red"}], [[[65.3, 0.3946], [66.7, 0.3946]], {"stroke": "red"}], [[[67, 0.408504], [67, 0.411496]], {"stroke": "red"}], [[[66.3, 0.41], [67.7, 0.41]], {"stroke": "red"}], [[[68, 0.420504], [68, 0.423496]], {"stroke": "red"}], [[[67.3, 0.422], [68.7, 0.422]], {"stroke": "red"}], [[[69, 0.40300400000000003], [69, 0.405996]], {"stroke": "red"}], [[[68.3, 0.4045], [69.7, 0.4045]], {"stroke": "red"}], [[[70, 0.423304], [70, 0.426296]], {"stroke": "red"}], [[[69.3, 0.4248], [70.7, 0.4248]], {"stroke": "red"}], [[[71, 0.405604], [71, 0.408596]], {"stroke": "red"}], [[[70.3, 0.4071], [71.7, 0.4071]], {"stroke": "red"}], [[[72, 0.420704], [72, 0.423696]], {"stroke": "red"}], [[[71.3, 0.4222], [72.7, 0.4222]], {"stroke": "red"}], [[[73, 0.407304], [73, 0.410296]], {"stroke": "red"}], [[[72.3, 0.4088], [73.7, 0.4088]], {"stroke": "red"}], [[[74, 0.373504], [74, 0.376496]], {"stroke": "red"}], [[[73.3, 0.375], [74.7, 0.375]], {"stroke": "red"}], [[[75, 0.389604], [75, 0.392596]], {"stroke": "red"}], [[[74.3, 0.3911], [75.7, 0.3911]], {"stroke": "red"}], [[[76, 0.442704], [76, 0.445696]], {"stroke": "red"}], [[[75.3, 0.4442], [76.7, 0.4442]], {"stroke": "red"}], [[[77, 0.399604], [77, 0.402596]], {"stroke": "red"}], [[[76.3, 0.4011], [77.7, 0.4011]], {"stroke": "red"}], [[[78, 0.407004], [78, 0.40999599999999997]], {"stroke": "red"}], [[[77.3, 0.4085], [78.7, 0.4085]], {"stroke": "red"}], [[[79, 0.404904], [79, 0.407896]], {"stroke": "red"}], [[[78.3, 0.4064], [79.7, 0.4064]], {"stroke": "red"}], [[[80, 0.419704], [80, 0.422696]], {"stroke": "red"}], [[[79.3, 0.4212], [80.7, 0.4212]], {"stroke": "red"}], [[[81, 0.37680400000000003], [81, 0.379796]], {"stroke": "red"}], [[[80.3, 0.3783], [81.7, 0.3783]], {"stroke": "red"}], [[[82, 0.401504], [82, 0.404496]], {"stroke": "red"}], [[[81.3, 0.403], [82.7, 0.403]], {"stroke": "red"}], [[[83, 0.40400400000000003], [83, 0.406996]], {"stroke": "red"}], [[[82.3, 0.4055], [83.7, 0.4055]], {"stroke": "red"}], [[[84, 0.435204], [84, 0.438196]], {"stroke": "red"}], [[[83.3, 0.4367], [84.7, 0.4367]], {"stroke": "red"}], [[[85, 0.386604], [85, 0.389596]], {"stroke": "red"}], [[[84.3, 0.3881], [85.7, 0.3881]], {"stroke": "red"}], [[[86, 0.398104], [86, 0.401096]], {"stroke": "red"}], [[[85.3, 0.3996], [86.7, 0.3996]], {"stroke": "red"}], [[[87, 0.407304], [87, 0.410296]], {"stroke": "red"}], [[[86.3, 0.4088], [87.7, 0.4088]], {"stroke": "red"}], [[[88, 0.392404], [88, 0.39539599999999997]], {"stroke": "red"}], [[[87.3, 0.3939], [88.7, 0.3939]], {"stroke": "red"}], [[[89, 0.433704], [89, 0.436696]], {"stroke": "red"}], [[[88.3, 0.4352], [89.7, 0.4352]], {"stroke": "red"}], [[[90, 0.411204], [90, 0.414196]], {"stroke": "red"}], [[[89.3, 0.4127], [90.7, 0.4127]], {"stroke": "red"}], [[[91, 0.390804], [91, 0.393796]], {"stroke": "red"}], [[[90.3, 0.3923], [91.7, 0.3923]], {"stroke": "red"}], [[[92, 0.415004], [92, 0.417996]], {"stroke": "red"}], [[[91.3, 0.4165], [92.7, 0.4165]], {"stroke": "red"}], [[[93, 0.410904], [93, 0.413896]], {"stroke": "red"}], [[[92.3, 0.4124], [93.7, 0.4124]], {"stroke": "red"}], [[[94, 0.415404], [94, 0.418396]], {"stroke": "red"}], [[[93.3, 0.4169], [94.7, 0.4169]], {"stroke": "red"}], [[[95, 0.410404], [95, 0.413396]], {"stroke": "red"}], [[[94.3, 0.4119], [95.7, 0.4119]], {"stroke": "red"}], [[[96, 0.421104], [96, 0.424096]], {"stroke": "red"}], [[[95.3, 0.4226], [96.7, 0.4226]], {"stroke": "red"}], [[[97, 0.431604], [97, 0.434596]], {"stroke": "red"}], [[[96.3, 0.4331], [97.7, 0.4331]], {"stroke": "red"}], [[[98, 0.430304], [98, 0.433296]], {"stroke": "red"}], [[[97.3, 0.4318], [98.7, 0.4318]], {"stroke": "red"}], [[[99, 0.399104], [99, 0.402096]], {"stroke": "red"}], [[[98.3, 0.4006], [99.7, 0.4006]], {"stroke": "red"}], [[[100, 0.406404], [100, 0.409396]], {"stroke": "red"}], [[[99.3, 0.4079], [100.7, 0.4079]], {"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.