Échantillonnage - 2de
L’intervalle de fluctuation avec la loi binomiale
Exercice 1 : Échantillonnage et intervalle de fluctuation
On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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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.
Exercice 2 : Échantillonnage et intervalle de fluctuation
On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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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.
Exercice 3 : Échantillonnage et intervalle de fluctuation
On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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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.
Exercice 4 : Échantillonnage et intervalle de fluctuation
On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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0.3804], [83.7, 0.3804]], {"stroke": "red"}], [[[84, 0.3478], [84, 0.35219999999999996]], {"stroke": "red"}], [[[83.3, 0.35], [84.7, 0.35]], {"stroke": "red"}], [[[85, 0.4239], [85, 0.42829999999999996]], {"stroke": "red"}], [[[84.3, 0.4261], [85.7, 0.4261]], {"stroke": "red"}], [[[86, 0.401], [86, 0.4054]], {"stroke": "red"}], [[[85.3, 0.4032], [86.7, 0.4032]], {"stroke": "red"}], [[[87, 0.388], [87, 0.39239999999999997]], {"stroke": "red"}], [[[86.3, 0.3902], [87.7, 0.3902]], {"stroke": "red"}], [[[88, 0.39590000000000003], [88, 0.4003]], {"stroke": "red"}], [[[87.3, 0.3981], [88.7, 0.3981]], {"stroke": "red"}], [[[89, 0.397], [89, 0.4014]], {"stroke": "red"}], [[[88.3, 0.3992], [89.7, 0.3992]], {"stroke": "red"}], [[[90, 0.4056], [90, 0.41]], {"stroke": "red"}], [[[89.3, 0.4078], [90.7, 0.4078]], {"stroke": "red"}], [[[91, 0.4012], [91, 0.40559999999999996]], {"stroke": "red"}], [[[90.3, 0.4034], [91.7, 0.4034]], {"stroke": "red"}], [[[92, 0.42000000000000004], [92, 0.4244]], {"stroke": "red"}], [[[91.3, 0.4222], [92.7, 0.4222]], {"stroke": "red"}], [[[93, 0.3937], [93, 0.39809999999999995]], {"stroke": "red"}], [[[92.3, 0.3959], [93.7, 0.3959]], {"stroke": "red"}], [[[94, 0.4171], [94, 0.4215]], {"stroke": "red"}], [[[93.3, 0.4193], [94.7, 0.4193]], {"stroke": "red"}], [[[95, 0.3814], [95, 0.3858]], {"stroke": "red"}], [[[94.3, 0.3836], [95.7, 0.3836]], {"stroke": "red"}], [[[96, 0.3633], [96, 0.36769999999999997]], {"stroke": "red"}], [[[95.3, 0.3655], [96.7, 0.3655]], {"stroke": "red"}], [[[97, 0.3734], [97, 0.37779999999999997]], {"stroke": "red"}], [[[96.3, 0.3756], [97.7, 0.3756]], {"stroke": "red"}], [[[98, 0.42900000000000005], [98, 0.4334]], {"stroke": "red"}], [[[97.3, 0.4312], [98.7, 0.4312]], {"stroke": "red"}], [[[99, 0.4157], [99, 0.4201]], {"stroke": "red"}], [[[98.3, 0.4179], [99.7, 0.4179]], {"stroke": "red"}], [[[100, 0.43160000000000004], [100, 0.436]], {"stroke": "red"}], [[[99.3, 0.4338], [100.7, 0.4338]], {"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.
Exercice 5 : Échantillonnage et intervalle de fluctuation
On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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{"stroke": "red"}], [[[6, 0.691212], [6, 0.693588]], {"stroke": "red"}], [[[5.3, 0.6924], [6.7, 0.6924]], {"stroke": "red"}], [[[7, 0.701712], [7, 0.7040879999999999]], {"stroke": "red"}], [[[6.3, 0.7029], [7.7, 0.7029]], {"stroke": "red"}], [[[8, 0.712812], [8, 0.7151879999999999]], {"stroke": "red"}], [[[7.3, 0.714], [8.7, 0.714]], {"stroke": "red"}], [[[9, 0.6688120000000001], [9, 0.671188]], {"stroke": "red"}], [[[8.3, 0.67], [9.7, 0.67]], {"stroke": "red"}], [[[10, 0.7071120000000001], [10, 0.709488]], {"stroke": "red"}], [[[9.3, 0.7083], [10.7, 0.7083]], {"stroke": "red"}], [[[11, 0.6981120000000001], [11, 0.700488]], {"stroke": "red"}], [[[10.3, 0.6993], [11.7, 0.6993]], {"stroke": "red"}], [[[12, 0.6719120000000001], [12, 0.674288]], {"stroke": "red"}], [[[11.3, 0.6731], [12.7, 0.6731]], {"stroke": "red"}], [[[13, 0.728812], [13, 0.731188]], {"stroke": "red"}], [[[12.3, 0.73], [13.7, 0.73]], {"stroke": "red"}], [[[14, 0.698912], [14, 0.7012879999999999]], {"stroke": "red"}], [[[13.3, 0.7001], [14.7, 0.7001]], {"stroke": "red"}], [[[15, 0.720012], [15, 0.7223879999999999]], {"stroke": "red"}], [[[14.3, 0.7212], [15.7, 0.7212]], {"stroke": "red"}], [[[16, 0.678112], [16, 0.680488]], {"stroke": "red"}], [[[15.3, 0.6793], [16.7, 0.6793]], {"stroke": "red"}], [[[17, 0.679212], [17, 0.681588]], {"stroke": "red"}], [[[16.3, 0.6804], [17.7, 0.6804]], {"stroke": "red"}], [[[18, 0.6829120000000001], [18, 0.685288]], {"stroke": "red"}], [[[17.3, 0.6841], [18.7, 0.6841]], {"stroke": "red"}], [[[19, 0.699312], [19, 0.701688]], {"stroke": "red"}], [[[18.3, 0.7005], [19.7, 0.7005]], {"stroke": "red"}], [[[20, 0.699312], [20, 0.701688]], {"stroke": "red"}], [[[19.3, 0.7005], [20.7, 0.7005]], {"stroke": "red"}], [[[21, 0.698712], [21, 0.7010879999999999]], {"stroke": "red"}], [[[20.3, 0.6999], [21.7, 0.6999]], {"stroke": "red"}], [[[22, 0.685512], [22, 0.6878879999999999]], {"stroke": "red"}], [[[21.3, 0.6867], [22.7, 0.6867]], {"stroke": "red"}], [[[23, 0.728812], [23, 0.731188]], {"stroke": "red"}], [[[22.3, 0.73], [23.7, 0.73]], {"stroke": "red"}], [[[24, 0.6931120000000001], [24, 0.695488]], {"stroke": "red"}], [[[23.3, 0.6943], [24.7, 0.6943]], {"stroke": "red"}], [[[25, 0.698512], [25, 0.700888]], {"stroke": "red"}], [[[24.3, 0.6997], [25.7, 0.6997]], {"stroke": "red"}], [[[26, 0.702712], [26, 0.7050879999999999]], {"stroke": "red"}], [[[25.3, 0.7039], [26.7, 0.7039]], {"stroke": "red"}], [[[27, 0.707612], [27, 0.709988]], {"stroke": "red"}], [[[26.3, 0.7088], [27.7, 0.7088]], {"stroke": "red"}], [[[28, 0.6941120000000001], [28, 0.696488]], {"stroke": "red"}], [[[27.3, 0.6953], [28.7, 0.6953]], {"stroke": "red"}], [[[29, 0.728812], [29, 0.731188]], {"stroke": "red"}], [[[28.3, 0.73], [29.7, 0.73]], {"stroke": "red"}], [[[30, 0.7010120000000001], [30, 0.703388]], {"stroke": "red"}], [[[29.3, 0.7022], [30.7, 0.7022]], {"stroke": "red"}], [[[31, 0.672212], [31, 0.674588]], {"stroke": "red"}], [[[30.3, 0.6734], [31.7, 0.6734]], {"stroke": "red"}], [[[32, 0.7232120000000001], [32, 0.725588]], {"stroke": "red"}], [[[31.3, 0.7244], [32.7, 0.7244]], {"stroke": "red"}], [[[33, 0.670212], [33, 0.672588]], {"stroke": "red"}], [[[32.3, 0.6714], [33.7, 0.6714]], {"stroke": "red"}], [[[34, 0.714812], [34, 0.7171879999999999]], {"stroke": "red"}], [[[33.3, 0.716], [34.7, 0.716]], {"stroke": "red"}], [[[35, 0.675212], [35, 0.677588]], {"stroke": "red"}], [[[34.3, 0.6764], [35.7, 0.6764]], {"stroke": "red"}], [[[36, 0.708812], [36, 0.7111879999999999]], {"stroke": "red"}], [[[35.3, 0.71], [36.7, 0.71]], {"stroke": "red"}], [[[37, 0.728812], [37, 0.731188]], {"stroke": "red"}], [[[36.3, 0.73], [37.7, 0.73]], {"stroke": "red"}], [[[38, 0.720712], [38, 0.723088]], {"stroke": "red"}], [[[37.3, 0.7219], [38.7, 0.7219]], {"stroke": "red"}], [[[39, 0.7151120000000001], [39, 0.717488]], {"stroke": "red"}], [[[38.3, 0.7163], [39.7, 0.7163]], {"stroke": "red"}], [[[40, 0.708412], [40, 0.710788]], {"stroke": "red"}], [[[39.3, 0.7096], [40.7, 0.7096]], {"stroke": "red"}], [[[41, 0.6901120000000001], [41, 0.692488]], {"stroke": "red"}], [[[40.3, 0.6913], [41.7, 0.6913]], {"stroke": "red"}], [[[42, 0.687212], [42, 0.689588]], {"stroke": "red"}], [[[41.3, 0.6884], [42.7, 0.6884]], {"stroke": "red"}], [[[43, 0.6707120000000001], [43, 0.673088]], {"stroke": "red"}], [[[42.3, 0.6719], [43.7, 0.6719]], {"stroke": "red"}], [[[44, 0.695712], [44, 0.6980879999999999]], {"stroke": "red"}], [[[43.3, 0.6969], [44.7, 0.6969]], {"stroke": "red"}], [[[45, 0.701912], [45, 0.7042879999999999]], {"stroke": "red"}], [[[44.3, 0.7031], [45.7, 0.7031]], {"stroke": "red"}], [[[46, 0.675512], [46, 0.6778879999999999]], {"stroke": "red"}], [[[45.3, 0.6767], [46.7, 0.6767]], {"stroke": "red"}], [[[47, 0.728812], [47, 0.731188]], {"stroke": "red"}], [[[46.3, 0.73], [47.7, 0.73]], {"stroke": "red"}], [[[48, 0.6848120000000001], [48, 0.687188]], {"stroke": "red"}], [[[47.3, 0.686], [48.7, 0.686]], {"stroke": "red"}], [[[49, 0.684512], [49, 0.6868879999999999]], {"stroke": "red"}], [[[48.3, 0.6857], [49.7, 0.6857]], {"stroke": "red"}], [[[50, 0.711412], [50, 0.713788]], {"stroke": "red"}], [[[49.3, 0.7126], [50.7, 0.7126]], {"stroke": "red"}], [[[51, 0.691312], [51, 0.693688]], {"stroke": "red"}], [[[50.3, 0.6925], [51.7, 0.6925]], {"stroke": "red"}], [[[52, 0.682712], [52, 0.6850879999999999]], {"stroke": "red"}], [[[51.3, 0.6839], [52.7, 0.6839]], {"stroke": "red"}], [[[53, 0.728812], [53, 0.731188]], {"stroke": "red"}], [[[52.3, 0.73], [53.7, 0.73]], {"stroke": "red"}], [[[54, 0.6960120000000001], [54, 0.698388]], {"stroke": "red"}], [[[53.3, 0.6972], [54.7, 0.6972]], {"stroke": "red"}], [[[55, 0.694612], [55, 0.6969879999999999]], {"stroke": "red"}], [[[54.3, 0.6958], [55.7, 0.6958]], {"stroke": "red"}], [[[56, 0.708412], [56, 0.710788]], {"stroke": "red"}], [[[55.3, 0.7096], [56.7, 0.7096]], {"stroke": "red"}], [[[57, 0.679212], [57, 0.681588]], {"stroke": "red"}], [[[56.3, 0.6804], [57.7, 0.6804]], {"stroke": "red"}], [[[58, 0.708812], [58, 0.7111879999999999]], {"stroke": "red"}], [[[57.3, 0.71], [58.7, 0.71]], {"stroke": "red"}], [[[59, 0.713912], [59, 0.7162879999999999]], {"stroke": "red"}], [[[58.3, 0.7151], [59.7, 0.7151]], {"stroke": "red"}], [[[60, 0.718612], [60, 0.720988]], {"stroke": "red"}], [[[59.3, 0.7198], [60.7, 0.7198]], {"stroke": "red"}], [[[61, 0.695312], [61, 0.697688]], {"stroke": "red"}], [[[60.3, 0.6965], [61.7, 0.6965]], {"stroke": "red"}], [[[62, 0.678612], [62, 0.6809879999999999]], {"stroke": "red"}], [[[61.3, 0.6798], [62.7, 0.6798]], {"stroke": "red"}], [[[63, 0.7162120000000001], [63, 0.718588]], {"stroke": "red"}], [[[62.3, 0.7174], [63.7, 0.7174]], {"stroke": "red"}], [[[64, 0.6940120000000001], [64, 0.696388]], {"stroke": "red"}], [[[63.3, 0.6952], [64.7, 0.6952]], {"stroke": "red"}], [[[65, 0.7092120000000001], [65, 0.711588]], {"stroke": "red"}], [[[64.3, 0.7104], [65.7, 0.7104]], {"stroke": "red"}], [[[66, 0.6990120000000001], [66, 0.701388]], {"stroke": "red"}], [[[65.3, 0.7002], [66.7, 0.7002]], {"stroke": "red"}], [[[67, 0.7062120000000001], [67, 0.708588]], {"stroke": "red"}], [[[66.3, 0.7074], [67.7, 0.7074]], {"stroke": "red"}], [[[68, 0.699812], [68, 0.7021879999999999]], {"stroke": "red"}], [[[67.3, 0.701], [68.7, 0.701]], {"stroke": "red"}], [[[69, 0.687512], [69, 0.689888]], {"stroke": "red"}], [[[68.3, 0.6887], [69.7, 0.6887]], {"stroke": "red"}], [[[70, 0.679312], [70, 0.681688]], {"stroke": "red"}], [[[69.3, 0.6805], [70.7, 0.6805]], {"stroke": "red"}], [[[71, 0.691312], [71, 0.693688]], {"stroke": "red"}], [[[70.3, 0.6925], [71.7, 0.6925]], {"stroke": "red"}], [[[72, 0.7052120000000001], [72, 0.707588]], {"stroke": "red"}], [[[71.3, 0.7064], [72.7, 0.7064]], {"stroke": "red"}], [[[73, 0.711412], [73, 0.713788]], {"stroke": "red"}], [[[72.3, 0.7126], [73.7, 0.7126]], {"stroke": "red"}], [[[74, 0.7253120000000001], [74, 0.727688]], {"stroke": "red"}], [[[73.3, 0.7265], [74.7, 0.7265]], {"stroke": "red"}], [[[75, 0.6688120000000001], [75, 0.671188]], {"stroke": "red"}], [[[74.3, 0.67], [75.7, 0.67]], {"stroke": "red"}], [[[76, 0.710712], [76, 0.7130879999999999]], {"stroke": "red"}], [[[75.3, 0.7119], [76.7, 0.7119]], {"stroke": "red"}], [[[77, 0.6960120000000001], [77, 0.698388]], {"stroke": "red"}], [[[76.3, 0.6972], [77.7, 0.6972]], {"stroke": "red"}], [[[78, 0.717912], [78, 0.7202879999999999]], {"stroke": "red"}], [[[77.3, 0.7191], [78.7, 0.7191]], {"stroke": "red"}], [[[79, 0.685612], [79, 0.6879879999999999]], {"stroke": "red"}], [[[78.3, 0.6868], [79.7, 0.6868]], {"stroke": "red"}], [[[80, 0.6719120000000001], [80, 0.674288]], {"stroke": "red"}], [[[79.3, 0.6731], [80.7, 0.6731]], {"stroke": "red"}], [[[81, 0.6770120000000001], [81, 0.679388]], {"stroke": "red"}], [[[80.3, 0.6782], [81.7, 0.6782]], {"stroke": "red"}], [[[82, 0.7050120000000001], [82, 0.707388]], {"stroke": "red"}], [[[81.3, 0.7062], [82.7, 0.7062]], {"stroke": "red"}], [[[83, 0.698612], [83, 0.7009879999999999]], {"stroke": "red"}], [[[82.3, 0.6998], [83.7, 0.6998]], {"stroke": "red"}], [[[84, 0.715012], [84, 0.7173879999999999]], {"stroke": "red"}], [[[83.3, 0.7162], [84.7, 0.7162]], {"stroke": "red"}], [[[85, 0.711312], [85, 0.713688]], {"stroke": "red"}], [[[84.3, 0.7125], [85.7, 0.7125]], {"stroke": "red"}], [[[86, 0.7151120000000001], [86, 0.717488]], {"stroke": "red"}], [[[85.3, 0.7163], [86.7, 0.7163]], {"stroke": "red"}], [[[87, 0.698612], [87, 0.7009879999999999]], {"stroke": "red"}], [[[86.3, 0.6998], [87.7, 0.6998]], {"stroke": "red"}], [[[88, 0.691312], [88, 0.693688]], {"stroke": "red"}], [[[87.3, 0.6925], [88.7, 0.6925]], {"stroke": "red"}], [[[89, 0.706512], [89, 0.708888]], {"stroke": "red"}], [[[88.3, 0.7077], [89.7, 0.7077]], {"stroke": "red"}], [[[90, 0.6910120000000001], [90, 0.693388]], {"stroke": "red"}], [[[89.3, 0.6922], [90.7, 0.6922]], {"stroke": "red"}], [[[91, 0.6688120000000001], [91, 0.671188]], {"stroke": "red"}], [[[90.3, 0.67], [91.7, 0.67]], {"stroke": "red"}], [[[92, 0.6688120000000001], [92, 0.671188]], {"stroke": "red"}], [[[91.3, 0.67], [92.7, 0.67]], {"stroke": "red"}], [[[93, 0.708412], [93, 0.710788]], {"stroke": "red"}], [[[92.3, 0.7096], [93.7, 0.7096]], {"stroke": "red"}], [[[94, 0.699612], [94, 0.701988]], {"stroke": "red"}], [[[93.3, 0.7008], [94.7, 0.7008]], {"stroke": "red"}], [[[95, 0.6890120000000001], [95, 0.691388]], {"stroke": "red"}], [[[94.3, 0.6902], [95.7, 0.6902]], {"stroke": "red"}], [[[96, 0.6870120000000001], [96, 0.689388]], {"stroke": "red"}], [[[95.3, 0.6882], [96.7, 0.6882]], {"stroke": "red"}], [[[97, 0.7254120000000001], [97, 0.727788]], {"stroke": "red"}], [[[96.3, 0.7266], [97.7, 0.7266]], {"stroke": "red"}], [[[98, 0.689712], [98, 0.6920879999999999]], {"stroke": "red"}], [[[97.3, 0.6909], [98.7, 0.6909]], {"stroke": "red"}], [[[99, 0.6960120000000001], [99, 0.698388]], {"stroke": "red"}], [[[98.3, 0.6972], [99.7, 0.6972]], {"stroke": "red"}], [[[100, 0.695212], [100, 0.697588]], {"stroke": "red"}], [[[99.3, 0.6964], [100.7, 0.6964]], {"stroke": 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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.