Distribucion Normal Calculo Formulas

!
"

#$

µ

σ %
&

'%
(

'
#

P( X ≤ a)
P ( a ≤ X ≤ b)

)!*+"

X → N (µ ,σ )
Z → N (0,1)
P( X ≤ a) = P Z ≤

a−µ

σ

)!*+"

X → N (10,3)
Z → N (0,1)
11.3 − 10
P ( X ≤ 11.3) = P Z ≤
= P( Z ≤ 0.43)3
)!*+"

0.43 = 0.4 + 0.03
P( Z ≤ 0.43) = 0.6664

0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9

0.00
0.5
0.5398
0.5793
0.6179
0.6554
0.6915
0.7257
0.758
0.7881
0.8159

0.01
0.504
0.5438
0.5832
0.62170.6591
0.695
0.7291
0.7611
0.791
0.8186

0.02
0.508
0.5478
0.5871
0.6255
0.6628
0.6985
0.7324
0.7642
0.7939
0.8212

0.03
0.512
0.5517
0.591
0.6293
0.6664
0.7019
0.7357
0.7673
0.7967
0.8238

0.04
0.5160.5557
0.5948
0.6331
0.67
0.7054
0.7389
0.7704
0.7995
0.8264

0.05
0.5199
0.5596
0.5987
0.6368
0.6736
0.7088
0.7422
0.7734
0.8023
0.8289

0.06
0.5239
0.5636
0.6026
0.6406
0.6772
0.7123
0.7454
0.77640.8051
0.8315

0.07
0.5279
0.5675
0.6064
0.6443
0.6808
0.7157
0.7486
0.7794
0.8078
0.834

0.08
0.5319
0.5714
0.6103
0.648
0.6844
0.719
0.7517
0.7823
0.8106
0.8365

0.09
0.5359
0.5753
0.6141
0.6517
0.68790.7224
0.7549
0.7852
0.8133
0.8389

1.
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9

0.8413
0.8643
0.8849
0.9032
0.9192
0.9332
0.9452
0.9554
0.9641
0.9713

0.8438
0.8665
0.8869
0.9049
0.9207
0.9345
0.94630.9564
0.9649
0.9719

0.8461
0.8686
0.8888
0.9066
0.9222
0.9357
0.9474
0.9573
0.9656
0.9726

0.8485
0.8708
0.8907
0.9082
0.9236
0.937
0.9484
0.9582
0.9664
0.9732

0.8508
0.8729
0.8925
0.9099
0.9251
0.93820.9495
0.9591
0.9671
0.9738

0.8531
0.8749
0.8944
0.9115
0.9265
0.9394
0.9505
0.9599
0.9678
0.9744

0.8554
0.877
0.8962
0.9131
0.9279
0.9406
0.9515
0.9608
0.9686
0.975

0.8577
0.879
0.898
0.91470.9292
0.9418
0.9525
0.9616
0.9693
0.9756

0.8599
0.881
0.8997
0.9162
0.9306
0.9429
0.9535
0.9625
0.9699
0.9761

0.8621
0.883
0.9015
0.9177
0.9319
0.9441
0.9545
0.9633
0.9706
0.9767

2.
2.1
2.2
2.3
2.4
2.52.6
2.7
2.8
2.9

0.9772
0.9821
0.9861
0.9893
0.9918
0.9938
0.9953
0.9965
0.9974
0.9981

0.9778
0.9826
0.9864
0.9896
0.992
0.994
0.9955
0.9966
0.9975
0.9982

0.9783
0.983
0.9868
0.9898
0.9922
0.9941...