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TABELAS

TABELA 1 – DISTRIBUIÇÃO BINOMIAL
A. Função probabilidade

B. Função de distribuição

 n
f ( x | θ ) = P( X = x) =  θ x (1 − θ ) n − x
 x


x
 n
F ( x | θ ) = P( X ≤ x) = ∑  θ i (1 − θ ) n − i

i =0  i 

θ

θ

n
1

x
0
1

.05
.9500
.0500

.10
.9000
.1000

.15
.8500
.1500

.20
.8000
.2000

.25
.7500
.2500

.30
.7000
.3000.35
.6500
.3500

.40
.6000
.4000

.45
.5500
.4500

.50
.5000
.5000

n
1

x
0
1

.05
.9500
1.0000

.10
.9000
1.0000

.15
.8500
1.0000

.20
.8000
1.0000

.25
.7500
1.0000

.30
.7000
1.0000

.35
.6500
1.0000

.40
.6000
1.0000

.45
.5500
1.0000

.50
.5000
1.0000

2

0
1
2

.9025
.0950
.0025

.8100
.1800
.0100

.7225
.2550.0225

.6400
.3200
.0400

.5625
.3750
.0625

.4900
.4200
.0900

.4225
.4550
.1225

.3600
.4800
.1600

.3025
.4950
.2025

.2500
.5000
.2500

2

0
1
2

.9025
.9975
1.0000

.8100
.9900
1.0000

.7225
.9775
1.0000

.6400
.9600
1.0000

.5625
.9375
1.0000

.4900
.9100
1.0000

.4225
.8775
1.0000

.3600
.8400
1.0000

.3025
.7975
1.0000.2500
.7500
1.0000

3

0
1
2
3

.8574
.1354
.0071
.0001

.7290
.2430
.0270
.0010

.6141
.3251
.0574
.0034

.5120
.3840
.0960
.0080

.4219
.4219
.1406
.0156

.3430
.4410
.1890
.0270

.2746
.4436
.2389
.0429

.2160
.4320
.2880
.0640

.1664
.4084
.3341
.0911

.1250
.3750
.3750
.1250

3

0
1
2
3

.8574
.9928
.9999
1.0000.7290
.9720
.9990
1.0000

.6141
.9393
.9966
1.0000

.5120
.8960
.9920
1.0000

.4219
.8438
.9844
1.0000

.3430
.7840
.9730
1.0000

.2746
.7183
.9571
1.0000

.2160
.6480
.9360
1.0000

.1664
.5748
.9089
1.0000

.1250
.5000
.8750
1.0000

4

0
1
2
3
4

.8145
.1715
.0135
.0005
.0000

.6561
.2916
.0486
.0036
.0001

.5220
.3685
.0975
.0115.0005

.4096
.4096
.1536
.0256
.0016

.3164
.4219
.2109
.0469
.0039

.2401
.4116
.2646
.0756
.0081

.1785
.3845
.3105
.1115
.0150

.1296
.3456
.3456
.1536
.0256

.0915
.2995
.3675
.2005
.0410

.0625
.2500
.3750
.2500
.0625

4

0
1
2
3
4

.8145
.9860
.9995
1.0000
1.0000

.6561
.9477
.9963
.9999
1.0000

.5220
.8905
.9880
.99951.0000

.4096
.8192
.9728
.9984
1.0000

.3164
.7383
.9492
.9961
1.0000

.2401
.6517
.9163
.9919
1.0000

.1785
.5630
.8735
.9850
1.0000

.1296
.4752
.8208
.9744
1.0000

.0915
.3910
.7585
.9590
1.0000

.0625
.3125
.6875
.9375
1.0000

5

0
1
2
3
4

.7738
.2036
.0214
.0011
.0000

.5905
.3281
.0729
.0081
.0005

.4437
.3915
.1382
.0244
.0022.3277
.4096
.2048
.0512
.0064

.2373
.3955
.2637
.0879
.0146

.1681
.3602
.3087
.1323
.0284

.1160
.3124
.3364
.1811
.0488

.0778
.2592
.3456
.2304
.0768

.0503
.2059
.3369
.2757
.1128

.0313
.1563
.3125
.3125
.1563

5

0
1
2
3
4

.7738
.9774
.9988
1.0000
1.0000

.5905
.9185
.9914
.9995
1.0000

.4437
.8352
.9734
.9978
.9999.3277
.7373
.9421
.9933
.9997

.2373
.6328
.8965
.9844
.9990

.1681
.5282
.8369
.9692
.9976

.1160
.4284
.7648
.9460
.9947

.0778
.3370
.6826
.9130
.9898

.0503
.2562
.5931
.8688
.9815

.0313
.1875
.5000
.8125
.9688

5

.0000

.0000

.0001

.0003

.0010

.0024

.0053

.0102

.0185

.0313

5

1.0000

1.0000

1.0000

1.00001.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0
1
2
3
4

.7351
.2321
.0305
.0021
.0001

.5314
.3543
.0984
.0146
.0012

.3771
.3993
.1762
.0415
.0055

.2621
.3932
.2458
.0819
.0154

.1780
.3560
.2966
.1318
.0330

.1176
.3025
.3241
.1852
.0595

.0754
.2437
.3280
.2355
.0951

.0467
.1866
.3110
.2765
.1382

.0277
.1359
.2780
.3032...
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