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|
| Ejercicios de probabilidad binomial |
| Conoce también:
Calculadora de probabilidad binomial
Fórmulas de distribución binomial
Otras Fórmulas
Esperamos que te sean muy útiles.
|
Ejercicios resueltos distribución binomial.
| N= |
15 |
|
1 |
|
N= |
9 |
|
2 |
| p= |
0.8 |
|
SUMA |
|
p= |
0.71 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
3.2768E-11 |
3.2768E-11 |
|
|
0 |
1.4507E-05 |
1.45071E-05 |
| |
1 |
1.9661E-09 |
1.99885E-09 |
|
|
1 |
0.00031966 |
0.000334165 |
| |
2 |
5.505E-08 |
5.70491E-08 |
|
|
2 |
0.00313044 |
0.003464603 |
| |
3 |
9.542E-07 |
1.01125E-06 |
|
|
3 |
0.01788308 |
0.021347683 |
| |
4 |
1.145E-05 |
1.24617E-05 |
|
|
4 |
0.06567407 |
0.087021753 |
| |
5 |
0.00010076 |
0.000113226 |
|
|
5 |
0.16078824 |
0.247809992 |
| |
6 |
0.00067176 |
0.000784985 |
|
|
6 |
0.26243598 |
0.51024597 |
| |
7 |
0.00345476 |
0.00423975 |
|
|
7 |
0.27536386 |
0.785609828 |
| |
8 |
0.01381906 |
0.018058807 |
|
|
8 |
0.16854167 |
0.954151499 |
| |
9 |
0.04299262 |
0.06105143 |
|
|
9 |
0.0458485 |
1 |
| |
10 |
0.10318229 |
0.164233724 |
|
|
|
|
|
| |
11 |
0.18760417 |
0.351837895 |
|
|
|
|
|
| |
12 |
0.2501389 |
0.601976791 |
|
|
|
|
|
| |
13 |
0.23089744 |
0.832874233 |
|
|
|
|
|
| |
14 |
0.1319414 |
0.964815628 |
|
|
|
|
|
| |
15 |
0.03518437 |
1 |
|
|
|
|
|
| N= |
11 |
|
3 |
|
N= |
11 |
|
4 |
| p= |
0.06 |
|
SUMA |
|
p= |
0.1 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.50629821 |
0.506298207 |
|
|
0 |
0.3138106 |
0.313810596 |
| |
1 |
0.35548598 |
0.861784183 |
|
|
1 |
0.38354628 |
0.69735688 |
| |
2 |
0.11345297 |
0.975237153 |
|
|
2 |
0.21308127 |
0.910438149 |
| |
3 |
0.02172504 |
0.99696219 |
|
|
3 |
0.07102709 |
0.981465239 |
| |
4 |
0.00277341 |
0.999735599 |
|
|
4 |
0.0157838 |
0.997249037 |
| |
5 |
0.00024784 |
0.999983436 |
|
|
5 |
0.00245526 |
0.999704294 |
| |
6 |
1.5819E-05 |
0.999999255 |
|
|
6 |
0.00027281 |
0.9999771 |
| |
7 |
7.2125E-07 |
0.999999976 |
|
|
7 |
2.1651E-05 |
0.999998752 |
| |
8 |
2.3019E-08 |
1 |
|
|
8 |
1.2029E-06 |
0.999999954 |
| |
9 |
4.8976E-10 |
1 |
|
|
9 |
4.455E-08 |
0.999999999 |
| |
10 |
6.2522E-12 |
1 |
|
|
10 |
9.9E-10 |
1 |
| |
11 |
3.628E-14 |
1 |
|
|
11 |
1E-11 |
1 |
| N= |
20 |
|
5 |
|
N= |
7 |
|
6 |
| p= |
0.81 |
|
SUMA |
|
p= |
0.62 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
3.759E-15 |
3.759E-15 |
|
|
0 |
0.00114416 |
0.001144156 |
| |
1 |
3.205E-13 |
3.24263E-13 |
|
|
1 |
0.01306746 |
0.01421162 |
| |
2 |
1.298E-11 |
1.33047E-11 |
|
|
2 |
0.0639618 |
0.078173417 |
| |
3 |
3.3203E-10 |
3.4533E-10 |
|
|
3 |
0.1739312 |
0.252104619 |
| |
4 |
6.0158E-09 |
6.3611E-09 |
|
|
4 |
0.28378249 |
0.535887107 |
| |
5 |
8.2068E-08 |
8.84289E-08 |
|
|
5 |
0.27780812 |
0.813695227 |
| |
6 |
8.7467E-07 |
9.63099E-07 |
|
|
6 |
0.15108863 |
0.964783854 |
| |
7 |
7.4577E-06 |
8.42081E-06 |
|
|
7 |
0.03521615 |
1 |
| |
8 |
5.1664E-05 |
6.00851E-05 |
|
|
|
|
|
| |
9 |
0.00029367 |
0.000353756 |
|
|
|
|
|
| |
10 |
0.00137716 |
0.001730917 |
|
|
|
|
|
| |
11 |
0.00533732 |
0.00706824 |
|
|
|
|
|
| |
12 |
0.01706539 |
0.024133628 |
|
|
|
|
|
| |
13 |
0.04477073 |
0.068904362 |
|
|
|
|
|
| |
14 |
0.09543235 |
0.164336716 |
|
|
|
|
|
| |
15 |
0.16273728 |
0.327073994 |
|
|
|
|
|
| |
16 |
0.2168046 |
0.543878592 |
|
|
|
|
|
| |
17 |
0.21747582 |
0.761354411 |
|
|
|
|
|
| |
18 |
0.15452229 |
0.915876703 |
|
|
|
|
|
| |
19 |
0.06934241 |
0.985219117 |
|
|
|
|
|
| |
20 |
0.01478088 |
1 |
|
|
|
|
|
| N= |
17 |
|
7 |
|
N= |
10 |
|
8 |
| p= |
0.16 |
|
SUMA |
|
p= |
0.79 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.05161166 |
0.051611664 |
|
|
0 |
1.668E-07 |
1.66799E-07 |
| |
1 |
0.16712348 |
0.218735148 |
|
|
1 |
6.2748E-06 |
6.44161E-06 |
| |
2 |
0.25466436 |
0.473399505 |
|
|
2 |
0.00010622 |
0.000112665 |
| |
3 |
0.24253748 |
0.715936988 |
|
|
3 |
0.00106561 |
0.001178273 |
| |
4 |
0.16169166 |
0.877628643 |
|
|
4 |
0.00701525 |
0.008193528 |
| |
5 |
0.08007587 |
0.95770451 |
|
|
5 |
0.03166886 |
0.039862391 |
| |
6 |
0.03050509 |
0.988209602 |
|
|
6 |
0.09927937 |
0.139141763 |
| |
7 |
0.00913078 |
0.997340378 |
|
|
7 |
0.21341688 |
0.352558644 |
| |
8 |
0.00217399 |
0.999514372 |
|
|
8 |
0.30107024 |
0.653628888 |
| |
9 |
0.00041409 |
0.999928467 |
|
|
9 |
0.25168835 |
0.905317239 |
| |
10 |
6.31E-05 |
0.999991567 |
|
|
10 |
0.09468276 |
1 |
| |
11 |
7.6485E-06 |
0.999999215 |
|
|
|
|
|
| |
12 |
7.2843E-07 |
0.999999944 |
|
|
|
|
|
| |
13 |
5.3365E-08 |
0.999999997 |
|
|
|
|
|
| |
14 |
2.9042E-09 |
1 |
|
|
|
|
|
| |
15 |
1.1064E-10 |
1 |
|
|
|
|
|
| |
16 |
2.6342E-12 |
1 |
|
|
|
|
|
| |
17 |
2.9515E-14 |
1 |
|
|
|
|
|
| N= |
9 |
|
9 |
|
N= |
12 |
|
10 |
| p= |
0.09 |
|
SUMA |
|
p= |
0.26 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.4279298 |
0.4279298 |
|
|
0 |
0.02696377 |
0.026963771 |
| |
1 |
0.38090455 |
0.808834347 |
|
|
1 |
0.11368509 |
0.140648862 |
| |
2 |
0.15068751 |
0.959521861 |
|
|
2 |
0.21968876 |
0.360337617 |
| |
3 |
0.03477404 |
0.994295902 |
|
|
3 |
0.25729314 |
0.617630754 |
| |
4 |
0.00515879 |
0.999454689 |
|
|
4 |
0.20340066 |
0.82103141 |
| |
5 |
0.00051021 |
0.999964898 |
|
|
5 |
0.11434415 |
0.935375563 |
| |
6 |
3.364E-05 |
0.999998538 |
|
|
6 |
0.0468708 |
0.982246364 |
| |
7 |
1.4259E-06 |
0.999999964 |
|
|
7 |
0.01411553 |
0.996361895 |
| |
8 |
3.5255E-08 |
1 |
|
|
8 |
0.00309969 |
0.999461589 |
| |
9 |
3.8742E-10 |
1 |
|
|
9 |
0.00048404 |
0.999945625 |
| |
|
|
|
|
|
10 |
5.102E-05 |
0.999996645 |
| |
|
|
|
|
|
11 |
3.2593E-06 |
0.999999905 |
| |
|
|
|
|
|
12 |
9.5429E-08 |
1 |
| N= |
5 |
|
11 |
|
N= |
9 |
|
12 |
| p= |
0.16 |
|
SUMA |
|
p= |
0.24 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.41821194 |
0.418211942 |
|
|
0 |
0.08459064 |
0.084590644 |
| |
1 |
0.39829709 |
0.81650903 |
|
|
1 |
0.24041551 |
0.325006158 |
| |
2 |
0.15173222 |
0.968241254 |
|
|
2 |
0.30368275 |
0.628688913 |
| |
3 |
0.02890138 |
0.99714263 |
|
|
3 |
0.22376624 |
0.852455153 |
| |
4 |
0.00275251 |
0.999895142 |
|
|
4 |
0.10599453 |
0.958449688 |
| |
5 |
0.00010486 |
1 |
|
|
5 |
0.03347196 |
0.991921646 |
| |
|
|
|
|
|
6 |
0.00704673 |
0.998968374 |
| |
|
|
|
|
|
7 |
0.00095369 |
0.999922067 |
| |
|
|
|
|
|
8 |
7.5292E-05 |
0.999997358 |
| |
|
|
|
|
|
9 |
2.6418E-06 |
1 |
| N= |
18 |
|
13 |
|
N= |
18 |
|
14 |
| p= |
0.11 |
|
SUMA |
|
p= |
0.88 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.12274961 |
0.12274961 |
|
|
0 |
2.6623E-17 |
2.66233E-17 |
| |
1 |
0.2730834 |
0.395833011 |
|
|
1 |
3.5143E-15 |
3.5409E-15 |
| |
2 |
0.28689099 |
0.682724 |
|
|
2 |
2.1906E-13 |
2.22598E-13 |
| |
3 |
0.18911166 |
0.871835663 |
|
|
3 |
8.5676E-12 |
8.79015E-12 |
| |
4 |
0.08765007 |
0.959485731 |
|
|
4 |
2.3561E-10 |
2.44398E-10 |
| |
5 |
0.03033283 |
0.989818564 |
|
|
5 |
4.8378E-09 |
5.08221E-09 |
| |
6 |
0.00812284 |
0.997941401 |
|
|
6 |
7.6867E-08 |
8.19497E-08 |
| |
7 |
0.00172105 |
0.999662452 |
|
|
7 |
9.6633E-07 |
1.04828E-06 |
| |
8 |
0.00029248 |
0.999954934 |
|
|
8 |
9.7439E-06 |
1.07921E-05 |
| |
9 |
4.0166E-05 |
0.9999951 |
|
|
9 |
7.9394E-05 |
9.01866E-05 |
| |
10 |
4.4679E-06 |
0.999999568 |
|
|
10 |
0.000524 |
0.00061419 |
| |
11 |
4.0161E-07 |
0.999999969 |
|
|
11 |
0.00279469 |
0.003408875 |
| |
12 |
2.8955E-08 |
0.999999998 |
|
|
12 |
0.01195504 |
0.015363917 |
| |
13 |
1.6517E-09 |
1 |
|
|
13 |
0.04046322 |
0.055827136 |
| |
14 |
7.2909E-11 |
1 |
|
|
14 |
0.1059751 |
0.161802232 |
| |
15 |
2.403E-12 |
1 |
|
|
15 |
0.20724019 |
0.369042421 |
| |
16 |
5.5687E-14 |
1 |
|
|
16 |
0.28495526 |
0.653997681 |
| |
17 |
8.0973E-16 |
1 |
|
|
17 |
0.24584375 |
0.899841434 |
| |
18 |
5.5599E-18 |
1 |
|
|
18 |
0.10015857 |
1 |
| N= |
18 |
|
15 |
|
N= |
8 |
|
16 |
| p= |
0.46 |
|
SUMA |
|
p= |
0.91 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
1.5244E-05 |
1.52436E-05 |
|
|
0 |
4.3047E-09 |
4.30467E-09 |
| |
1 |
0.00023374 |
0.000248979 |
|
|
1 |
3.482E-07 |
3.52505E-07 |
| |
2 |
0.00169242 |
0.001941395 |
|
|
2 |
1.2322E-05 |
1.26749E-05 |
| |
3 |
0.007689 |
0.009630399 |
|
|
3 |
0.00024919 |
0.000261862 |
| |
4 |
0.02456209 |
0.034192493 |
|
|
4 |
0.00314944 |
0.003411304 |
| |
5 |
0.05858514 |
0.092777636 |
|
|
5 |
0.02547549 |
0.028886792 |
| |
6 |
0.10812937 |
0.200907005 |
|
|
6 |
0.12879275 |
0.157679538 |
| |
7 |
0.15790321 |
0.35881021 |
|
|
7 |
0.37206793 |
0.529747472 |
| |
8 |
0.18495144 |
0.543761649 |
|
|
8 |
0.47025253 |
1 |
| |
9 |
0.17505692 |
0.718818567 |
|
|
|
|
|
| |
10 |
0.1342103 |
0.853028871 |
|
|
|
|
|
| |
11 |
0.08314712 |
0.936175995 |
|
|
|
|
|
| |
12 |
0.04131694 |
0.97749293 |
|
|
|
|
|
| |
13 |
0.01624427 |
0.993737195 |
|
|
|
|
|
| |
14 |
0.00494204 |
0.998679234 |
|
|
|
|
|
| |
15 |
0.00112264 |
0.99980187 |
|
|
|
|
|
| |
16 |
0.00017931 |
0.99998118 |
|
|
|
|
|
| |
17 |
1.797E-05 |
0.99999915 |
|
|
|
|
|
| |
18 |
8.5043E-07 |
1 |
|
|
|
|
|
| N= |
18 |
|
17 |
|
N= |
19 |
|
18 |
| p= |
0.11 |
|
SUMA |
|
p= |
0.24 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.12274961 |
0.12274961 |
|
|
0 |
0.00543824 |
0.005438239 |
| |
1 |
0.2730834 |
0.395833011 |
|
|
1 |
0.03262943 |
0.03806767 |
| |
2 |
0.28689099 |
0.682724 |
|
|
2 |
0.09273628 |
0.130803948 |
| |
3 |
0.18911166 |
0.871835663 |
|
|
3 |
0.16594913 |
0.296753078 |
| |
4 |
0.08765007 |
0.959485731 |
|
|
4 |
0.20961995 |
0.506373031 |
| |
5 |
0.03033283 |
0.989818564 |
|
|
5 |
0.19858732 |
0.704960355 |
| |
6 |
0.00812284 |
0.997941401 |
|
|
6 |
0.1463275 |
0.851287856 |
| |
7 |
0.00172105 |
0.999662452 |
|
|
7 |
0.08581613 |
0.937103985 |
| |
8 |
0.00029248 |
0.999954934 |
|
|
8 |
0.04064975 |
0.977753731 |
| |
9 |
4.0166E-05 |
0.9999951 |
|
|
9 |
0.01568938 |
0.993443106 |
| |
10 |
4.4679E-06 |
0.999999568 |
|
|
10 |
0.00495454 |
0.998397646 |
| |
11 |
4.0161E-07 |
0.999999969 |
|
|
11 |
0.00128012 |
0.999677766 |
| |
12 |
2.8955E-08 |
0.999999998 |
|
|
12 |
0.0002695 |
0.999947265 |
| |
13 |
1.6517E-09 |
1 |
|
|
13 |
4.5826E-05 |
0.999993091 |
| |
14 |
7.2909E-11 |
1 |
|
|
14 |
6.202E-06 |
0.999999293 |
| |
15 |
2.403E-12 |
1 |
|
|
15 |
6.5284E-07 |
0.999999945 |
| |
16 |
5.5687E-14 |
1 |
|
|
16 |
5.154E-08 |
0.999999997 |
| |
17 |
8.0973E-16 |
1 |
|
|
17 |
2.8722E-09 |
1 |
| |
18 |
5.5599E-18 |
1 |
|
|
18 |
1.0078E-10 |
1 |
| |
|
|
|
|
|
19 |
1.675E-12 |
1 |
| N= |
11 |
|
19 |
|
N= |
13 |
|
20 |
| p= |
0.16 |
|
SUMA |
|
p= |
0.26 |
|
SUMA |
| |
x |
prob(x) |
prob acum(x) |
|
|
x |
prob(x) |
prob acum(x) |
| |
0 |
0.14691703 |
0.146917032 |
|
|
0 |
0.01995319 |
0.019953191 |
| |
1 |
0.30782616 |
0.454743195 |
|
|
1 |
0.09113755 |
0.111090738 |
| |
2 |
0.29316777 |
0.747910969 |
|
|
2 |
0.1921278 |
0.303218541 |
| |
3 |
0.16752444 |
0.915435411 |
|
|
3 |
0.247516 |
0.550734539 |
| |
4 |
0.06381884 |
0.979254246 |
|
|
4 |
0.2174127 |
0.76814724 |
| |
5 |
0.01701836 |
0.996272602 |
|
|
5 |
0.13749884 |
0.905646083 |
| |
6 |
0.00324159 |
0.999514194 |
|
|
6 |
0.06441387 |
0.970059955 |
| |
7 |
0.00044103 |
0.999955227 |
|
|
7 |
0.0226319 |
0.992691857 |
| |
8 |
4.2003E-05 |
0.99999723 |
|
|
8 |
0.00596381 |
0.998655668 |
| |
9 |
2.6669E-06 |
0.999999897 |
|
|
9 |
0.00116411 |
0.999819776 |
| |
10 |
1.0159E-07 |
0.999999998 |
|
|
10 |
0.0001636 |
0.99998338 |
| |
11 |
1.7592E-09 |
1 |
|
|
11 |
1.5677E-05 |
0.999999057 |
| |
|
|
|
|
|
12 |
9.1803E-07 |
0.999999975 |
| |
|
|
|
|
|
13 |
2.4812E-08 |
1 |
|
|
|
