Ejemplos De Distribución Gamma

ejemplos de distribución gamma

∁2 3= 3 x 2!2!=3
∁2 7= 7 x 6 x5!2 x 5!=21
∁4 10= 10x9x8x7x6!24x6!=210

∁2 3= 3 x 2!2!=3
∁2 7= 7 x 6 x5!2 x 5!=21
∁4 10= 10x9x8x7x6!24x6!=210

Problema n°01* N= 10
* K= 3
* n= 4
* x= 2

P (x= 2) = ∁2 3∁27∁410

P (x= 2) =3 X 21210 = 0.3

∁0 6= 6!0 x 6!=1
∁3 9= 9x8x7x6!6 x 6!=84
∁3 15= 15x14x13x12!6x12!=455

∁06= 6!0 x 6!=1
∁3 9= 9x8x7x6!6 x 6!=84
∁3 15= 15x14x13x12!6x12!=455

Problema 2
* N= 15
* K= 6
* n= 3
* x= 0, 1, 2, 3

P (x= 0) = ∁0 6∁39∁315

P (x= 2) = 1 x 84455 =0.18

∁120= 20!1! x 19!=20
∁3 80= 80x79x78x77!6 x 77!=82160
∁4 100= 100x99x98x97x96!24x96!=3921225

∁120= 20!1! x 19!=20
∁3 80= 80x79x78x77!6 x 77!=82160
∁4 100= 100x99x98x97x96!24x96!=3921225Problema 3
* N= 100
* K= 20
* n= 4
* x= 1

a)
P (x= 1) = ∁1 20∁380∁4100
∴ P (x= 1) = 20 x 821603921225 = 0.42
b)
p (x=4) = ∁4 20∁080∁4100=> 4845 x 13921225 = 1.23 x 10-3
c) determinar la media y varianza
* μ=Ex=n .P
* P= kN
μ=n.kN
μ=4.20100 = 0.8
σ2= n. p (1-p)N-nN-1
σ2= 0.8 x(1-0.2)100-4100-1
σ2= 0.62

∁24= 4x3x2!2! x 2!=6
∁1 6= 6x5!1 x 5!=6
∁3 10= 10x9x8x7!6x7!=120

∁24= 4x3x2!2! x 2!=6
∁1 6= 6x5!1 x 5!=6
∁3 10= 10x9x8x7!6x7!=120

Problema 04
* N= 10
* K=4
* n= 3
* x= 2
P (x= 2) = ∁2 4∁16∁310
∴ P (x= 2) = 6 x 6120= 0.3

Un 30% de probabilidad de seleccionar 3 caballos se carreras, 2° de los cuales estan enfermos
∁35= 15x14x13x12!6 x12!=455
∁1 5= 5x4!1 x 4!=5
∁4 20= 20x19x18x17x16!24x16!=4845

∁35= 15x14x13x12!6 x 12!=455
∁1 5= 5x4!1 x 4!=5
∁4 20= 20x19x18x17x16!24x16!=4845

Problema 6
* N= 20
* K= 15
* n= 4* x= 3
P (x= 3) = ∁3 5∁15∁420
∴ P (x= 2) = 455 x 54845 = 0.47

∁25= 5x4x3!2 x 3!=10
∁3 9= 9x8x7x6!6 x 6!=5
∁5 14= 14x13x12x11x10x9!120x9!=2002

∁25= 5x4x3!2 x 3!=10
∁3 9= 9x8x7x6!6...