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Solusi - Probabilitas kumulatif dalam distribusi normal standar

Cumulative probability 49300%
-49300%

Penjelasan langkah demi langkah

1. Find the cumulative probability of the z-scores values up to 2.575

Usa la tabla z negativa para encontrar el valor correspondiente a 2,575. Este valor es la probabilidad acumulativa del área a la izquierda de 2,575.

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 2,575 corresponde a un área de 494
p(z<2,575)=494
La probabilidad acumulativa de que z<2,575 sea 49400%

2. Find the cumulative probability for the z-scores values greater than 2.575

To find the cumulative probability of the values greater than 2,575, we need to subtract the cumulative probability of the values less than 2,575 from the total probability under the curve, which is equal to 1:

1494=493
p(z>2,575)=493
The cumulative probability of z>2,575 is 49300%

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