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Solusi - Probabilitas kumulatif dalam distribusi normal standar

Cumulative probability 104300%
-104300%

Penjelasan langkah demi langkah

1. Find the cumulative probability of the z-scores values up to 2.312

Usa la tabla z negativa para encontrar el valor correspondiente a 2,312. Este valor es la probabilidad acumulativa del área a la izquierda de 2,312.

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 2,312 corresponde a un área de 1,044
p(z<2,312)=1,044
La probabilidad acumulativa de que z<2,312 sea 104400%

2. Find the cumulative probability for the z-scores values greater than 2.312

To find the cumulative probability of the values greater than 2,312, we need to subtract the cumulative probability of the values less than 2,312 from the total probability under the curve, which is equal to 1:

11,044=1043
p(z>2,312)=1043
The cumulative probability of z>2,312 is 104300%

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