On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.33199999999999996, 0.488]], "scale": [6.0, 2884.6153846153843], "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, 0.33], "0\\mbox{,}33", "left", {"font-size": 13}], [[0.20000000000000018, 0.34], "0\\mbox{,}34", "left", {"font-size": 13}]], "path": [[[[0, 0.41], [100, 0.41]]], [[[1, 0.391984], [1, 0.395416]], {"stroke": "red"}], [[[0.29999999999999993, 0.3937], [1.7000000000000002, 0.3937]], {"stroke": "red"}], [[[2, 0.419384], [2, 0.42281599999999997]], {"stroke": "red"}], [[[1.2999999999999998, 0.4211], [2.7, 0.4211]], {"stroke": "red"}], [[[3, 0.383984], [3, 0.387416]], {"stroke": "red"}], [[[2.3, 0.3857], [3.7, 0.3857]], {"stroke": "red"}], [[[4, 0.408084], [4, 0.411516]], {"stroke": "red"}], [[[3.3, 0.4098], [4.7, 0.4098]], {"stroke": "red"}], [[[5, 0.410884], [5, 0.414316]], {"stroke": "red"}], [[[4.3, 0.4126], [5.7, 0.4126]], {"stroke": "red"}], [[[6, 0.408784], [6, 0.41221599999999997]], {"stroke": "red"}], [[[5.3, 0.4105], [6.7, 0.4105]], {"stroke": "red"}], [[[7, 0.410984], [7, 0.414416]], {"stroke": "red"}], [[[6.3, 0.4127], [7.7, 0.4127]], {"stroke": "red"}], [[[8, 0.384984], [8, 0.388416]], {"stroke": "red"}], [[[7.3, 0.3867], [8.7, 0.3867]], {"stroke": "red"}], [[[9, 0.398684], [9, 0.402116]], {"stroke": "red"}], [[[8.3, 0.4004], [9.7, 0.4004]], {"stroke": "red"}], [[[10, 0.42548400000000003], [10, 0.428916]], {"stroke": "red"}], [[[9.3, 0.4272], [10.7, 0.4272]], {"stroke": "red"}], [[[11, 0.419684], [11, 0.423116]], {"stroke": "red"}], [[[10.3, 0.4214], [11.7, 0.4214]], {"stroke": "red"}], [[[12, 0.443284], [12, 0.446716]], {"stroke": "red"}], [[[11.3, 0.445], [12.7, 0.445]], {"stroke": "red"}], [[[13, 0.384084], [13, 0.38751599999999997]], {"stroke": "red"}], [[[12.3, 0.3858], [13.7, 0.3858]], {"stroke": "red"}], [[[14, 0.44108400000000003], [14, 0.444516]], {"stroke": "red"}], [[[13.3, 0.4428], [14.7, 0.4428]], {"stroke": "red"}], [[[15, 0.405284], [15, 0.40871599999999997]], {"stroke": "red"}], [[[14.3, 0.407], [15.7, 0.407]], {"stroke": "red"}], [[[16, 0.412584], [16, 0.416016]], {"stroke": "red"}], [[[15.3, 0.4143], [16.7, 0.4143]], {"stroke": "red"}], [[[17, 0.406484], [17, 0.409916]], {"stroke": "red"}], [[[16.3, 0.4082], [17.7, 0.4082]], {"stroke": "red"}], [[[18, 0.373284], [18, 0.376716]], {"stroke": "red"}], [[[17.3, 0.375], [18.7, 0.375]], {"stroke": "red"}], [[[19, 0.392484], [19, 0.395916]], {"stroke": "red"}], [[[18.3, 0.3942], [19.7, 0.3942]], {"stroke": "red"}], [[[20, 0.428884], [20, 0.432316]], {"stroke": "red"}], [[[19.3, 0.4306], [20.7, 0.4306]], {"stroke": "red"}], [[[21, 0.383684], [21, 0.387116]], {"stroke": "red"}], [[[20.3, 0.3854], [21.7, 0.3854]], {"stroke": "red"}], [[[22, 0.425184], [22, 0.428616]], {"stroke": "red"}], [[[21.3, 0.4269], [22.7, 0.4269]], {"stroke": "red"}], [[[23, 0.41438400000000003], [23, 0.417816]], {"stroke": "red"}], [[[22.3, 0.4161], [23.7, 0.4161]], {"stroke": "red"}], [[[24, 0.408284], [24, 0.41171599999999997]], {"stroke": "red"}], [[[23.3, 0.41], [24.7, 0.41]], {"stroke": "red"}], [[[25, 0.409384], [25, 0.412816]], {"stroke": "red"}], [[[24.3, 0.4111], [25.7, 0.4111]], {"stroke": "red"}], [[[26, 0.438484], [26, 0.441916]], {"stroke": "red"}], [[[25.3, 0.4402], [26.7, 0.4402]], {"stroke": "red"}], [[[27, 0.422484], [27, 0.425916]], {"stroke": "red"}], [[[26.3, 0.4242], [27.7, 0.4242]], {"stroke": "red"}], [[[28, 0.377484], [28, 0.380916]], {"stroke": "red"}], [[[27.3, 0.3792], [28.7, 0.3792]], {"stroke": "red"}], [[[29, 0.395884], [29, 0.399316]], {"stroke": "red"}], [[[28.3, 0.3976], [29.7, 0.3976]], {"stroke": "red"}], [[[30, 0.422584], [30, 0.426016]], {"stroke": "red"}], [[[29.3, 0.4243], [30.7, 0.4243]], {"stroke": "red"}], [[[31, 0.424384], [31, 0.427816]], {"stroke": "red"}], [[[30.3, 0.4261], [31.7, 0.4261]], {"stroke": "red"}], [[[32, 0.427684], [32, 0.431116]], {"stroke": "red"}], [[[31.3, 0.4294], [32.7, 0.4294]], {"stroke": "red"}], [[[33, 0.397884], [33, 0.401316]], {"stroke": "red"}], [[[32.3, 0.3996], [33.7, 0.3996]], {"stroke": "red"}], [[[34, 0.406184], [34, 0.409616]], {"stroke": "red"}], [[[33.3, 0.4079], [34.7, 0.4079]], {"stroke": "red"}], [[[35, 0.408684], [35, 0.412116]], {"stroke": "red"}], [[[34.3, 0.4104], [35.7, 0.4104]], {"stroke": "red"}], [[[36, 0.396284], [36, 0.399716]], {"stroke": "red"}], [[[35.3, 0.398], [36.7, 0.398]], {"stroke": "red"}], [[[37, 0.396284], [37, 0.399716]], {"stroke": "red"}], [[[36.3, 0.398], [37.7, 0.398]], {"stroke": "red"}], [[[38, 0.418484], [38, 0.421916]], {"stroke": "red"}], [[[37.3, 0.4202], [38.7, 0.4202]], {"stroke": "red"}], [[[39, 0.393284], [39, 0.396716]], {"stroke": "red"}], [[[38.3, 0.395], [39.7, 0.395]], {"stroke": "red"}], [[[40, 0.412984], [40, 0.416416]], {"stroke": "red"}], [[[39.3, 0.4147], [40.7, 0.4147]], {"stroke": "red"}], [[[41, 0.389384], [41, 0.392816]], {"stroke": "red"}], [[[40.3, 0.3911], [41.7, 0.3911]], {"stroke": "red"}], [[[42, 0.419584], [42, 0.423016]], {"stroke": "red"}], [[[41.3, 0.4213], [42.7, 0.4213]], {"stroke": "red"}], [[[43, 0.412184], [43, 0.415616]], {"stroke": "red"}], [[[42.3, 0.4139], [43.7, 0.4139]], {"stroke": "red"}], [[[44, 0.405484], [44, 0.408916]], {"stroke": "red"}], [[[43.3, 0.4072], [44.7, 0.4072]], {"stroke": "red"}], [[[45, 0.398584], [45, 0.402016]], {"stroke": "red"}], [[[44.3, 0.4003], [45.7, 0.4003]], {"stroke": "red"}], [[[46, 0.391984], [46, 0.395416]], {"stroke": "red"}], [[[45.3, 0.3937], [46.7, 0.3937]], {"stroke": "red"}], [[[47, 0.408684], [47, 0.412116]], {"stroke": "red"}], [[[46.3, 0.4104], [47.7, 0.4104]], {"stroke": "red"}], [[[48, 0.417984], [48, 0.421416]], {"stroke": "red"}], [[[47.3, 0.4197], [48.7, 0.4197]], {"stroke": "red"}], [[[49, 0.376884], [49, 0.380316]], {"stroke": "red"}], [[[48.3, 0.3786], [49.7, 0.3786]], {"stroke": "red"}], [[[50, 0.411384], [50, 0.414816]], {"stroke": "red"}], [[[49.3, 0.4131], [50.7, 0.4131]], {"stroke": "red"}], [[[51, 0.394984], [51, 0.398416]], {"stroke": "red"}], [[[50.3, 0.3967], [51.7, 0.3967]], {"stroke": "red"}], [[[52, 0.400484], [52, 0.403916]], {"stroke": "red"}], [[[51.3, 0.4022], [52.7, 0.4022]], {"stroke": "red"}], [[[53, 0.392484], [53, 0.395916]], {"stroke": "red"}], [[[52.3, 0.3942], [53.7, 0.3942]], {"stroke": "red"}], [[[54, 0.425584], [54, 0.429016]], {"stroke": "red"}], [[[53.3, 0.4273], [54.7, 0.4273]], {"stroke": "red"}], [[[55, 0.419184], [55, 0.422616]], {"stroke": "red"}], [[[54.3, 0.4209], [55.7, 0.4209]], {"stroke": "red"}], [[[56, 0.400984], [56, 0.404416]], {"stroke": "red"}], [[[55.3, 0.4027], [56.7, 0.4027]], {"stroke": "red"}], [[[57, 0.383784], [57, 0.387216]], {"stroke": "red"}], [[[56.3, 0.3855], [57.7, 0.3855]], {"stroke": "red"}], [[[58, 0.419884], [58, 0.42331599999999997]], {"stroke": "red"}], [[[57.3, 0.4216], [58.7, 0.4216]], {"stroke": "red"}], [[[59, 0.404184], [59, 0.407616]], {"stroke": "red"}], [[[58.3, 0.4059], [59.7, 0.4059]], {"stroke": "red"}], [[[60, 0.418284], [60, 0.421716]], {"stroke": "red"}], [[[59.3, 0.42], [60.7, 0.42]], {"stroke": "red"}], [[[61, 0.399184], [61, 0.402616]], {"stroke": "red"}], [[[60.3, 0.4009], [61.7, 0.4009]], {"stroke": "red"}], [[[62, 0.373284], [62, 0.376716]], {"stroke": "red"}], [[[61.3, 0.375], [62.7, 0.375]], {"stroke": "red"}], [[[63, 0.418084], [63, 0.421516]], {"stroke": "red"}], [[[62.3, 0.4198], [63.7, 0.4198]], {"stroke": "red"}], [[[64, 0.409284], [64, 0.41271599999999997]], {"stroke": "red"}], [[[63.3, 0.411], [64.7, 0.411]], {"stroke": "red"}], [[[65, 0.414984], [65, 0.418416]], {"stroke": "red"}], [[[64.3, 0.4167], [65.7, 0.4167]], {"stroke": "red"}], [[[66, 0.420684], [66, 0.424116]], {"stroke": "red"}], [[[65.3, 0.4224], [66.7, 0.4224]], {"stroke": "red"}], [[[67, 0.435184], [67, 0.438616]], {"stroke": "red"}], [[[66.3, 0.4369], [67.7, 0.4369]], {"stroke": "red"}], [[[68, 0.403184], [68, 0.406616]], {"stroke": "red"}], [[[67.3, 0.4049], [68.7, 0.4049]], {"stroke": "red"}], [[[69, 0.42698400000000003], [69, 0.430416]], {"stroke": "red"}], [[[68.3, 0.4287], [69.7, 0.4287]], {"stroke": "red"}], [[[70, 0.419984], [70, 0.423416]], {"stroke": "red"}], [[[69.3, 0.4217], [70.7, 0.4217]], {"stroke": "red"}], [[[71, 0.410984], [71, 0.414416]], {"stroke": "red"}], [[[70.3, 0.4127], [71.7, 0.4127]], {"stroke": "red"}], [[[72, 0.403584], [72, 0.407016]], {"stroke": "red"}], [[[71.3, 0.4053], [72.7, 0.4053]], {"stroke": "red"}], [[[73, 0.436284], [73, 0.439716]], {"stroke": "red"}], [[[72.3, 0.438], [73.7, 0.438]], {"stroke": "red"}], [[[74, 0.424284], [74, 0.427716]], {"stroke": "red"}], [[[73.3, 0.426], [74.7, 0.426]], {"stroke": "red"}], [[[75, 0.396484], [75, 0.399916]], {"stroke": "red"}], [[[74.3, 0.3982], [75.7, 0.3982]], {"stroke": "red"}], [[[76, 0.411384], [76, 0.414816]], {"stroke": "red"}], [[[75.3, 0.4131], [76.7, 0.4131]], {"stroke": "red"}], [[[77, 0.395684], [77, 0.39911599999999997]], {"stroke": "red"}], [[[76.3, 0.3974], [77.7, 0.3974]], {"stroke": "red"}], [[[78, 0.373284], [78, 0.376716]], {"stroke": "red"}], [[[77.3, 0.375], [78.7, 0.375]], {"stroke": "red"}], [[[79, 0.428584], [79, 0.432016]], {"stroke": "red"}], [[[78.3, 0.4303], [79.7, 0.4303]], {"stroke": "red"}], [[[80, 0.373284], [80, 0.376716]], {"stroke": "red"}], [[[79.3, 0.375], [80.7, 0.375]], {"stroke": "red"}], [[[81, 0.399484], [81, 0.402916]], {"stroke": "red"}], [[[80.3, 0.4012], [81.7, 0.4012]], {"stroke": "red"}], [[[82, 0.399984], [82, 0.403416]], {"stroke": "red"}], [[[81.3, 0.4017], [82.7, 0.4017]], {"stroke": "red"}], [[[83, 0.412484], [83, 0.415916]], {"stroke": "red"}], [[[82.3, 0.4142], [83.7, 0.4142]], {"stroke": "red"}], [[[84, 0.38818400000000003], [84, 0.391616]], {"stroke": "red"}], [[[83.3, 0.3899], [84.7, 0.3899]], {"stroke": "red"}], [[[85, 0.397684], [85, 0.401116]], {"stroke": "red"}], [[[84.3, 0.3994], [85.7, 0.3994]], {"stroke": "red"}], [[[86, 0.395784], [86, 0.399216]], {"stroke": "red"}], [[[85.3, 0.3975], [86.7, 0.3975]], {"stroke": "red"}], [[[87, 0.420684], [87, 0.424116]], {"stroke": "red"}], [[[86.3, 0.4224], [87.7, 0.4224]], {"stroke": "red"}], [[[88, 0.399684], [88, 0.403116]], {"stroke": "red"}], [[[87.3, 0.4014], [88.7, 0.4014]], {"stroke": "red"}], [[[89, 0.418684], [89, 0.422116]], {"stroke": "red"}], [[[88.3, 0.4204], [89.7, 0.4204]], {"stroke": "red"}], [[[90, 0.400484], [90, 0.403916]], {"stroke": "red"}], [[[89.3, 0.4022], [90.7, 0.4022]], {"stroke": "red"}], [[[91, 0.429884], [91, 0.433316]], {"stroke": "red"}], [[[90.3, 0.4316], [91.7, 0.4316]], {"stroke": "red"}], [[[92, 0.386284], [92, 0.389716]], {"stroke": "red"}], [[[91.3, 0.388], [92.7, 0.388]], {"stroke": "red"}], [[[93, 0.409884], [93, 0.413316]], {"stroke": "red"}], [[[92.3, 0.4116], [93.7, 0.4116]], {"stroke": "red"}], [[[94, 0.373284], [94, 0.376716]], {"stroke": "red"}], [[[93.3, 0.375], [94.7, 0.375]], {"stroke": "red"}], [[[95, 0.418084], [95, 0.421516]], {"stroke": "red"}], [[[94.3, 0.4198], [95.7, 0.4198]], {"stroke": "red"}], [[[96, 0.433984], [96, 0.43741599999999997]], {"stroke": "red"}], [[[95.3, 0.4357], [96.7, 0.4357]], {"stroke": "red"}], [[[97, 0.382884], [97, 0.386316]], {"stroke": "red"}], [[[96.3, 0.3846], [97.7, 0.3846]], {"stroke": "red"}], [[[98, 0.393184], [98, 0.39661599999999997]], {"stroke": "red"}], [[[97.3, 0.3949], [98.7, 0.3949]], {"stroke": "red"}], [[[99, 0.373284], [99, 0.376716]], {"stroke": "red"}], [[[98.3, 0.375], [99.7, 0.375]], {"stroke": "red"}], [[[100, 0.429884], [100, 0.433316]], {"stroke": "red"}], [[[99.3, 0.4316], [100.7, 0.4316]], {"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.