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Solusi - Probabilitas kumulatif dalam distribusi normal standar

Cumulative probability 157700%
-157700%

Penjelasan langkah demi langkah

1. Find the cumulative probability of the z-scores values up to 2.153

Usa la tabla z negativa para encontrar el valor correspondiente a 2,153. Este valor es la probabilidad acumulativa del área a la izquierda de 2,153.

Z0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-3,95544444433
-3,87776666555
-3,711111998888
-3,616151514141313121211
-3,52322222121919181717
-3,43432313292827262524
-3,34847454342439383635
-3,2696664626585654525
-3,19794987848279767471
-3,01351311261221181141111071041
-2,9187181175169164159154149144139
-2,825624824233226219212205199193
-2,734733632631730729828928272264
-2,646645344427415402391379368357
-2,56216045875755453952350849448
-2,482798776755734714695676657639
-2,310721044101799964939914889866842
-2,21391355132112871255122211911161131101
-2,1178617431716591618157815391514631426
-2,0227522222169211820682018197192318761831
-1,9287228072743268261925592524422385233
-1,83593351534383362328832163144307430052938
-1,7445743634272418240934006392383637543673
-1,65485375262515550549474846474646484551
-1,56681655264266301617860575938582157055592
-1,4807679277787636749373537215707869446811
-1,396895193429176901288518692853483798226
-1,21150711314111231093510749105651038310204100279853
-1,1135671335131361292412714125071230212111911702
-1,015866156251538615151149171468614457142311400713786
-0,918406181411787917619173611710616853166021635416109
-0,821186208972061120327200451976619489192151894318673
-0,7241962388523576232722965226632236322065217721476
-0,62742527093267632643526109257852546325143248252451
-0,5308543050330153298062946291162877428434280962776
-0,4344583409337243336329973263632276319183156131207
-0,33820937828374483707366933631735942355693519734827
-0,242074416834129440905405174012939743393583897438591
-0,14601745624522444828444334403843644432514285842465
0,0549601492024880348405480064760847214681246414

Un puntaje z de 2,153 corresponde a un área de 1,578
p(z<2,153)=1,578
La probabilidad acumulativa de que z<2,153 sea 157800%

2. Find the cumulative probability for the z-scores values greater than 2.153

To find the cumulative probability of the values greater than 2,153, we need to subtract the cumulative probability of the values less than 2,153 from the total probability under the curve, which is equal to 1:

11,578=1577
p(z>2,153)=1577
The cumulative probability of z>2,153 is 157700%

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