Hacer un histograma y un grafico de la serie de tiempo para una distribución binomial, de los siguientes valores (N y P)
1. n=6 p= 0.01, 0.1, 0.2, 0.3, 0.5, 0.99, 0.9, 0.8, 0.7
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 |
| | 0.01 | 0.1 | 0.2 | 0.3 | 0.5 | 0.99 | 0.9 | 0.8 | 0.7 |
1 | 0 | 0.941480 | 0.531441 | 0.262144 | 0.117649 | 0.015625 | 0.000000 | 0.000001 | 0.000064 | 0.000729 |
2 | 1 | 0.057059 | 0.354294 | 0.393216 | 0.302526 | 0.093750 | 0.000000 | 0.000054 | 0.001536 | 0.010206 |
3 | 2 | 0.001441 | 0.098415 | 0.245760 | 0.324135 | 0.234375 | 0.000000 | 0.001215 | 0.015360 | 0.059535 |
4 | 3 | 0.000019 | 0.014580 | 0.081920 | 0.185220 | 0.312500 | 0.000019 | 0.014580 | 0.081920 | 0.185220 |
5 | 4 | 0.000000 | 0.001215 | 0.015360 | 0.059535 | 0.234375 | 0.001441 | 0.098415 | 0.245760 | 0.324135 |
6 | 5 | 0.000000 | 0.000054 | 0.001536 | 0.010206 | 0.093750 | 0.057059 | 0.354294 | 0.393216 | 0.302526 |
7 | 6 | 0.000000 | 0.000001 | 0.000064 | 0.000729 | 0.015625 | 0.941480 | 0.531441 | 0.262144 | 0.117649 |
1. n=2 p= 0.5, 0.6, 0.7, 0.8, 0.9
| C1 | C2 | C3 | C4 | C5 | C6 |
| | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 |
1 | 0 | 0.25 | 0.16 | 0.09 | 0.04 | 0.01 |
2 | 1 | 0.50 | 0.48 | 0.42 | 0.32 | 0.18 |
3 | 2 | 0.25 | 0.36 | 0.49 | 0.64 | 0.81 |
1. n=14 p= 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.99
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 |
| | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.99 |
1 | 0 | 0.228768 | 0.043980 | 0.006782 | 0.000784 | 0.000061 | 0.000003 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
2 | 1 | 0.355861 | 0.153932 | 0.040693 | 0.007314 | 0.000854 | 0.000056 | 0.000002 | 0.000000 | 0.000000 | 0.000000 |
3 | 2 | 0.257011 | 0.250139 | 0.113360 | 0.031694 | 0.005554 | 0.000550 | 0.000024 | 0.000000 | 0.000000 | 0.000000 |
4 | 3 | 0.114227 | 0.250139 | 0.194332 | 0.084517 | 0.022217 | 0.003298 | 0.000221 | 0.000004 | 0.000000 | 0.000000 |
5 | 4 | 0.034903 | 0.171970 | 0.229034 | 0.154948 | 0.061096 | 0.013603 | 0.001419 | 0.000042 | 0.000000 | 0.000000 |
6 | 5 | 0.007756 | 0.085985 | 0.196315 | 0.206598 | 0.122192 | 0.040809 | 0.006623 | 0.000336 | 0.000001 | 0.000000 |
7 | 6 | 0.001293 | 0.032244 | 0.126202 | 0.206598 | 0.183289 | 0.091821 | 0.023180 | 0.002015 | 0.000016 | 0.000000 |
8 | 7 | 0.000164 | 0.009213 | 0.061813 | 0.157408 | 0.209473 | 0.157408 | 0.061813 | 0.009213 | 0.000164 | 0.000000 |
9 | 8 | 0.000016 | 0.002015 | 0.023180 | 0.091821 | 0.183289 | 0.206598 | 0.126202 | 0.032244 | 0.001293 | 0.000000 |
10 | 9 | 0.000001 | 0.000336 | 0.006623 | 0.040809 | 0.122192 | 0.206598 | 0.196315 | 0.085985 | 0.007756 | 0.000000 |
11 | 10 | 0.000000 | 0.000042 | 0.001419 | 0.013603 | 0.061096 | 0.154948 | 0.229034 | 0.171970 | 0.034903 | 0.000009 |
12 | 11 | 0.000000 | 0.000004 | 0.000221 | 0.003298 | 0.022217 | 0.084517 | 0.194332 | 0.250139 | 0.114227 | 0.000326 |
13 | 12 | 0.000000 | 0.000000 | 0.000024 | 0.000550 | 0.005554 | 0.031694 | 0.113360 | 0.250139 | 0.257011 | 0.008066 |
14 | 13 | 0.000000 | 0.000000 | 0.000002 | 0.000056 | 0.000854 | 0.007314 | 0.040693 | 0.153932 | 0.355861 | 0.122853 |
15 | 14 | 0.000000 | 0.000000 | 0.000000 | 0.000003 | 0.000061 | 0.000784 | 0.006782 | 0.043980 | 0.228768 | 0.868746 |
1. n=30 p= 0.01,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.99
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 |
| | 0.01 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.99 |
1 | 0 | 0.739700 | 0.042391 | 0.001238 | 0.000023 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
2 | 1 | 0.224152 | 0.141304 | 0.009285 | 0.000290 | 0.000004 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
3 | 2 | 0.032830 | 0.227656 | 0.033656 | 0.001801 | 0.000043 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
4 | 3 | 0.003095 | 0.236088 | 0.078532 | 0.007203 | 0.000266 | 0.000004 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
5 | 4 | 0.000211 | 0.177066 | 0.132522 | 0.020838 | 0.001197 | 0.000026 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
6 | 5 | 0.000011 | 0.102305 | 0.172279 | 0.046440 | 0.004149 | 0.000133 | 0.000001 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
7 | 6 | 0.000000 | 0.047363 | 0.179457 | 0.082928 | 0.011524 | 0.000553 | 0.000008 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
8 | 7 | 0.000000 | 0.018043 | 0.153821 | 0.121854 | 0.026341 | 0.001896 | 0.000040 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
9 | 8 | 0.000000 | 0.005764 | 0.110559 | 0.150141 | 0.050487 | 0.005451 | 0.000173 | 0.000001 | 0.000000 | 0.000000 | 0.000000 |
10 | 9 | 0.000000 | 0.001565 | 0.067564 | 0.157291 | 0.082275 | 0.013325 | 0.000634 | 0.000006 | 0.000000 | 0.000000 | 0.000000 |
11 | 10 | 0.000000 | 0.000365 | 0.035471 | 0.141562 | 0.115185 | 0.027982 | 0.001997 | 0.000030 | 0.000000 | 0.000000 | 0.000000 |
12 | 11 | 0.000000 | 0.000074 | 0.016123 | 0.110308 | 0.139619 | 0.050876 | 0.005448 | 0.000126 | 0.000000 | 0.000000 | 0.000000 |
13 | 12 | 0.000000 | 0.000013 | 0.006382 | 0.074852 | 0.147375 | 0.080553 | 0.012938 | 0.000464 | 0.000002 | 0.000000 | 0.000000 |
14 | 13 | 0.000000 | 0.000002 | 0.002209 | 0.044418 | 0.136039 | 0.111535 | 0.026872 | 0.001498 | 0.000009 | 0.000000 | 0.000000 |
15 | 14 | 0.000000 | 0.000000 | 0.000671 | 0.023115 | 0.110127 | 0.135435 | 0.048945 | 0.004246 | 0.000042 | 0.000000 | 0.000000 |
16 | 15 | 0.000000 | 0.000000 | 0.000179 | 0.010567 | 0.078312 | 0.144464 | 0.078312 | 0.010567 | 0.000179 | 0.000000 | 0.000000 |
17 | 16 | 0.000000 | 0.000000 | 0.000042 | 0.004246 | 0.048945 | 0.135435 | 0.110127 | 0.023115 | 0.000671 | 0.000000 | 0.000000 |
18 | 17 | 0.000000 | 0.000000 | 0.000009 | 0.001498 | 0.026872 | 0.111535 | 0.136039 | 0.044418 | 0.002209 | 0.000002 | 0.000000 |
19 | 18 | 0.000000 | 0.000000 | 0.000002 | 0.000464 | 0.012938 | 0.080553 | 0.147375 | 0.074852 | 0.006382 | 0.000013 | 0.000000 |
20 | 19 | 0.000000 | 0.000000 | 0.000000 | 0.000126 | 0.005448 | 0.050876 | 0.139619 | 0.110308 | 0.016123 | 0.000074 | 0.000000 |
21 | 20 | 0.000000 | 0.000000 | 0.000000 | 0.000030 | 0.001997 | 0.027982 | 0.115185 | 0.141562 | 0.035471 | 0.000365 | 0.000000 |
22 | 21 | 0.000000 | 0.000000 | 0.000000 | 0.000006 | 0.000634 | 0.013325 | 0.082275 | 0.157291 | 0.067564 | 0.001565 | 0.000000 |
23 | 22 | 0.000000 | 0.000000 | 0.000000 | 0.000001 | 0.000173 | 0.005451 | 0.050487 | 0.150141 | 0.110559 | 0.005764 | 0.000000 |
24 | 23 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000040 | 0.001896 | 0.026341 | 0.121854 | 0.153821 | 0.018043 | 0.000000 |
25 | 24 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000008 | 0.000553 | 0.011524 | 0.082928 | 0.179457 | 0.047363 | 0.000000 |
26 | 25 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000001 | 0.000133 | 0.004149 | 0.046440 | 0.172279 | 0.102305 | 0.000011 |
27 | 26 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000026 | 0.001197 | 0.020838 | 0.132522 | 0.177066 | 0.000211 |
28 | 27 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000004 | 0.000266 | 0.007203 | 0.078532 | 0.236088 | 0.003095 |
29 | 28 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000043 | 0.001801 | 0.033656 | 0.227656 | 0.032830 |
30 | 29 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000004 | 0.000290 | 0.009285 | 0.141304 | 0.224152 |
31 | 30 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000023 | 0.001238 | 0.042391 | 0.739700 |