Download - Math T Result

Transcript
Page 1: Math T Result

X ~ B ( 10 , 0.05 ) X ~ Pₒ ( λ = 0.5 ) X ~ N ( 0.5 , 0.475 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.598736939238379 0 0.606530659712633 0 0.444913147301741

1 0.315124704862305 1 0.303265329856317 1 0.444913147301741

2 0.07463479852002 2 0.075816332464079 2 0.05419647831625

3 0.010475059441406 3 0.01263605541068 3 0.00080419750646

4 0.000964808106445 4 0.001579506926335 4 1.4536177079E-06

5 6.09352488281E-05 5 0.000157950692633 5 3.2006155815E-10

6 2.67259863281E-06 6 1.31625577195E-05 6 8.58445351065E-15

7 8.037890625E-08 7 9.40182694247E-07 7 2.80470777531E-20

8 1.58642578125E-09 8 5.87614183904E-08 8 1.11624213394E-26

9 1.85546875E-11 9 3.26452324391E-09 9 5.41159182509E-34

10 9.765625E-14 10 1.63226162196E-10 10 3.19585804359E-42

0 1 2 3 4 5 6 7 8 9 10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Binomial DistributionX ~ B ( 10 , 0.05 )

xGraph 13

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Poisson DistributionX ~ Pₒ ( λ = 0.5 )

xGraph 14

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

00.05

0.10.15

0.20.25

0.30.35

0.40.45

0.5

Normal DistributionX ~ N ( 0.5 , 0.475 )

xGraph 15

P (

X =

x )

Page 2: Math T Result

0 1 2 3 4 5 6 7 8 9 10

00.05

0.10.15

0.20.25

0.30.35

0.40.45

0.5

Normal DistributionX ~ N ( 0.5 , 0.475 )

xGraph 15

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Combination Graph for n=10 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 16

P (

X =

x )

Page 3: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Combination Graph for n=10 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 16

P (

X =

x )

Page 4: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Combination Graph for n=10 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 16

P (

X =

x )

Page 5: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Combination Graph for n=10 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 16

P (

X =

x )

Page 6: Math T Result

X ~ B ( 20 , 0.05 ) X ~ Pₒ ( λ = 1 ) X ~ N ( 1 , 0.95 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.358485922408542 0 0.367879441171442 0 0.241808865836151

1 0.377353602535307 1 0.367879441171442 1 0.409306143423355

2 0.188676801267654 2 0.183939720585721 2 0.241808865836151

3 0.059582147768733 3 0.06131324019524 3 0.049859060495929

4 0.013327585685111 4 0.01532831004881 4 0.003588094521764

5 0.002244646010124 5 0.003065662009762 5 9.01221561297E-05

6 0.000295348159227 6 0.000510943668294 6 7.90036553065E-07

7 3.10892799186E-05 7 7.29919526134E-05 7 2.4171895683E-09

8 2.65895157199E-06 8 9.12399407667E-06 8 2.58120293903E-12

9 1.86593092771E-07 9 1.01377711963E-06 9 9.62014248192E-16

10 1.08027580025E-08 10 1.01377711963E-07 10 1.25137873755E-19

11 5.16878373327E-10 11 9.216155633E-09 11 5.6812506791E-24

12 2.0403093684E-11 12 7.68012969417E-10 12 9.00216662523E-29

13 6.60828945229E-13 13 5.90779207244E-11 13 4.97849477621E-34

14 1.73902354008E-14 14 4.21985148031E-12 14 9.60941563094E-40

15 3.66110218964E-16 15 2.81323432021E-13 15 6.47356948923E-46

16 6.02154965401E-18 16 1.75827145013E-14 16 1.52208380159E-52

17 7.4570274353E-20 17 1.03427732361E-15 17 1.24905403819E-59

18 6.54125213623E-22 18 5.74598513114E-17 18 3.5774354419E-67

19 3.62396240234E-24 19 3.0242027006E-18 19 3.57610528527E-75

20 9.53674316406E-27 20 1.5121013503E-19 20 1.24766129203E-83

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.1

0.2

0.3

0.4

Binomial DistributionX ~ B ( 20 , 0.05 )

xGraph 17

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.1

0.2

0.3

0.4

Poisson DistributionX ~ Pₒ ( λ = 1 )

xGraph 18

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.1

0.2

0.3

0.4

0.5

Normal DistributionX ~ N ( 1 , 0.95 )

xGraph 19

P (

X =

x )

Page 7: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.1

0.2

0.3

0.4

0.5

Normal DistributionX ~ N ( 1 , 0.95 )

xGraph 19

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=20 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 20

P (

X =

x )

Page 8: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=20 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 20

P (

X =

x )

Page 9: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=20 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 20

P (

X =

x )

Page 10: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=20 and p=0.05

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 20

P (

X =

x )

Page 11: Math T Result

X ~ B ( 10 , 0.1 ) X ~ Pₒ ( λ = 1 ) X ~ N ( 1 , 0.9 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.3486784401 0 0.367879441171442 0 0.241275985913822

1 0.387420489 1 0.367879441171442 1 0.42052208700336

2 0.1937102445 2 0.183939720585721 2 0.241275985913822

3 0.057395628 3 0.06131324019524 3 0.0455711472897

4 0.011160261 4 0.01532831004881 4 0.002833455534173

5 0.0014880348 5 0.003065662009762 5 5.79953824067E-05

6 0.000137781 6 0.000510943668294 6 3.90769812848E-07

7 0.000008748 7 7.29919526134E-05 7 8.66760622942E-10

8 0.0000003645 8 9.12399407667E-06 8 6.32889535421E-13

9 0.000000009 9 1.01377711963E-06 9 1.52127326261E-16

10 1E-10 10 1.01377711963E-07 10 1.20375228758E-20

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Binomial DistributionX ~ B ( 10 , 0.1 )

xGraph 21

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

Poisson DistributionX ~ Pₒ ( λ = 1 )

xGraph 22

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Normal DistributionX ~ N ( 1 , 0.9 )

xGraph 23

P (

X =

x )

Page 12: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Normal DistributionX ~ N ( 1 , 0.9 )

xGraph 23

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=10 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 24

P (

X =

x )

Page 13: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=10 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 24

P (

X =

x )

Page 14: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=10 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 24

P (

X =

x )

Page 15: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Combination Graph for n=10 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 24

P (

X =

x )

Page 16: Math T Result

X ~ B ( 20 , 0.1 ) X ~ Pₒ ( λ = 2 ) X ~ N ( 2 , 1.8 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.121576654590569 0 0.135335283236613 0 0.097886858069412

1 0.270170343534599 1 0.270670566473225 1 0.225235300452964

2 0.285179807064299 2 0.270670566473225 2 0.297354019358795

3 0.190119871376199 3 0.180447044315484 3 0.225235300452964

4 0.089778828149872 4 0.090223522157742 4 0.097886858069412

5 0.031921361119954 5 0.036089408863097 5 0.024408304269877

6 0.008867044755543 6 0.012029802954366 6 0.003492015123552

7 0.001970454390121 7 0.00343708655839 7 0.000286642056611

8 0.000355776487105 8 0.000859271639598 8 1.34998515935E-05

9 5.27076277193E-05 9 0.000190949253244 9 3.64790370129E-07

10 6.44204338791E-06 10 3.81898506488E-05 10 5.65565649281E-09

11 6.50711453324E-07 11 6.94360920887E-06 11 5.03092647634E-11

12 5.42259544437E-08 12 1.15726820148E-06 12 2.56766407534E-13

13 3.7077575688E-09 13 1.78041261766E-07 13 7.51888992822E-16

14 2.059865316E-10 14 2.54344659666E-08 14 1.26326521347E-18

15 9.15495696E-12 15 3.39126212887E-09 15 1.21775700095E-21

16 3.1788045E-13 16 4.23907766109E-10 16 6.73522363864E-25

17 8.3106E-15 17 4.98715018952E-11 17 2.13731579038E-28

18 1.539E-16 18 5.54127798836E-12 18 3.89144284061E-32

19 1.8E-18 19 5.83292419827E-13 19 4.06516244614E-36

20 1E-20 20 5.83292419827E-14 20 2.43652258842E-40

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

00.05

0.10.15

0.20.25

0.3

Binomial DistributionX ~ B ( 20 , 0.1 )

xGraph 25

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

00.05

0.10.15

0.20.25

0.3

Poisson DistributionX ~ Pₒ ( λ = 2 )

xGraph 26

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

00.05

0.10.15

0.20.25

0.30.35

Normal DistributionX ~ N ( 2 , 1.8 )

xGraph27

P (

X =

x )

Page 17: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

00.05

0.10.15

0.20.25

0.30.35

Normal DistributionX ~ N ( 2 , 1.8 )

xGraph27

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Combination Graph for n=20 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 28

P (

X =

x )

Page 18: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Combination Graph for n=20 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 28

P (

X =

x )

Page 19: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Combination Graph for n=20 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 28

P (

X =

x )

Page 20: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Combination Graph for n=20 and p=0.1

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 28

P (

X =

x )

Page 21: Math T Result

X ~ B ( 10 , 0.5 ) X ~ Pₒ ( λ = 5 ) X ~ N ( 5 , 2.5 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.0009765625 0 0.006737946999085 0 0.001700073320504

1 0.009765625 1 0.033689734995427 1 0.010284844252704

2 0.0439453125 2 0.084224337488568 2 0.041707100072566

3 0.1171875 3 0.140373895814281 3 0.113371652244979

4 0.205078125 4 0.175467369767851 4 0.206576618986911

5 0.24609375 5 0.175467369767851 5 0.252313252202016

6 0.205078125 6 0.146222808139876 6 0.206576618986911

7 0.1171875 7 0.104444862957054 7 0.113371652244979

8 0.0439453125 8 0.065278039348159 8 0.041707100072566

9 0.009765625 9 0.036265577415644 9 0.010284844252704

10 0.0009765625 10 0.018132788707822 10 0.001700073320504

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Binomial DistributionX ~ B ( 10 , 0.5 )

xGraph29

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

00.020.040.060.08

0.10.120.140.160.18

0.2

Poisson DistributionX ~ Pₒ ( λ = 5 )

xGraph30

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Normal DistributionX ~ N ( 5 , 2.5 )

xGraph 31

P (

X =

x )

Page 22: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Normal DistributionX ~ N ( 5 , 2.5 )

xGraph 31

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Combination Graph for n=10 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 32

P (

X =

x )

Page 23: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Combination Graph for n=10 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 32

P (

X =

x )

Page 24: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Combination Graph for n=10 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 32

P (

X =

x )

Page 25: Math T Result

0 1 2 3 4 5 6 7 8 9 10

0

0.05

0.1

0.15

0.2

0.25

0.3

Combination Graph for n=10 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 32

P (

X =

x )

Page 26: Math T Result

X ~ B ( 20 , 0.5 ) X ~ Pₒ ( λ = 10 ) X ~ N ( 10 , 5 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 9.53674316406E-07 0 4.53999297625E-05 0 8.09991095609E-06

1 1.90734863281E-05 1 0.000453999297625 1 5.41551496443E-05

2 0.000181198120117 2 0.002269996488124 2 0.000296442440144

3 0.001087188720703 3 0.007566654960414 3 0.001328562843977

4 0.004620552062988 4 0.018916637401035 4 0.004874891216128

5 0.014785766601563 5 0.037833274802071 5 0.014644982561926

6 0.036964416503906 6 0.063055458003451 6 0.036020844672154

7 0.073928833007813 7 0.090079225719216 7 0.072537073483923

8 0.120134353637695 8 0.11259903214902 8 0.119593415967282

9 0.160179138183594 9 0.125110035721133 9 0.161434225871536

10 0.176197052001953 10 0.125110035721133 10 0.178412411615277

11 0.160179138183594 11 0.113736396110121 11 0.161434225871536

12 0.120134353637695 12 0.094780330091768 12 0.119593415967282

13 0.073928833007813 13 0.072907946224437 13 0.072537073483923

14 0.036964416503906 14 0.052077104446026 14 0.036020844672154

15 0.014785766601563 15 0.034718069630684 15 0.014644982561926

16 0.004620552062988 16 0.021698793519178 16 0.004874891216128

17 0.001087188720703 17 0.012763996187752 17 0.001328562843977

18 0.000181198120117 18 0.007091108993195 18 0.000296442440144

19 1.90734863281E-05 19 0.003732162627998 19 5.41551496443E-05

20 9.53674316406E-07 20 0.001866081313999 20 8.09991095609E-06

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

Binomial DistributionX ~ B ( 20 , 0.5 )

xGraph 33

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

00.020.040.060.08

0.10.120.14

Poisson DistributionX ~ Pₒ ( λ = 10 )

xGraph 34

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

Normal DistributionX ~ N ( 10 , 5 )

xGraph 35

P (

X =

x )

Page 27: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.05

0.1

0.15

0.2

Normal DistributionX ~ N ( 10 , 5 )

xGraph 35

P (

X =

x )

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

Combination Graph for n=20 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 36

P (

X =

x )

Page 28: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

Combination Graph for n=20 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 36

P (

X =

x )

Page 29: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

Combination Graph for n=20 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 36

P (

X =

x )

Page 30: Math T Result

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

Combination Graph for n=20 and p=0.5

Binomial Distribution

Poisson Distribution

Normal Distribution

xGraph 36

P (

X =

x )

Page 31: Math T Result

X ~ B ( 5 , 0.05 ) X ~ Pₒ ( λ = 0.25 ) X ~ N ( 0.25 , 0.2375 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.7737809375 0 0.7788007831 0 0.7176856259

1 0.2036265625 1 0.1947001958 1 0.2504852527

2 0.021434375 2 0.0243375245 2 0.0012972442

3 0.001128125 3 0.002028127 3 9.969031E-08

4 0.0000296875 4 0.0001267579 4 1.136778E-13

5 0.0000003125 5 6.337897E-06 5 1.923492E-21

Page 32: Math T Result

0 1 2 3 4 50

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Combination Graph for n=5 and p=0.05

Binomial DistributionPoissn DistributionNormal Distribution

xGraph 4

P ( X

= x

)

Page 33: Math T Result

0 1 2 3 4 50

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Combination Graph for n=5 and p=0.05

Binomial DistributionPoissn DistributionNormal Distribution

xGraph 4

P ( X

= x

)

Page 34: Math T Result

X ~ B ( 5 , 0.1 ) X ~ Pₒ ( λ = 0.5 ) X ~ N ( 0.5 , 0.45 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.59049 0 0.6065306597 0 0.4504706009

1 0.32805 1 0.3032653299 1 0.4504706009

2 0.0729 2 0.0758163325 2 0.0488166085

3 0.0081 3 0.0126360554 3 0.0005732841

4 0.00045 4 0.0015795069 4 7.295807E-07

5 0.00001 5 0.0001579507 5 1.006185E-10

Page 35: Math T Result

0 1 2 3 4 50

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Combination Graph for n=5 and p=0.1

Binomial DistributionPoisson DistributionNormal Distribution

xGraph 8

P ( X

= x

)

Page 36: Math T Result

0 1 2 3 4 50

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Combination Graph for n=5 and p=0.1

Binomial DistributionPoisson DistributionNormal Distribution

xGraph 8

P ( X

= x

)

Page 37: Math T Result

X ~ B ( 5 , 0.5 ) X ~ Pₒ ( λ = 2.5 ) X ~ N ( 2.5 , 1.25 )

x P ( X = x ) x P ( X = x ) x P ( X = x )

0 0.03125 0 0.0820849986 0 0.0292899651

1 0.15625 1 0.2052124966 1 0.145074147

2 0.3125 2 0.2565156207 2 0.3228684517

3 0.3125 3 0.2137630172 3 0.3228684517

4 0.15625 4 0.1336018858 4 0.145074147

5 0.03125 5 0.0668009429 5 0.0292899651

Page 38: Math T Result

0 1 2 3 4 50

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Combination Graph for n=5 and p=0.5

Binomial DistributionPoisson DistributionNormal Distribution

xGraph 12

P ( X

= x

)

Page 39: Math T Result

0 1 2 3 4 50

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Combination Graph for n=5 and p=0.5

Binomial DistributionPoisson DistributionNormal Distribution

xGraph 12

P ( X

= x

)