UNIVERSIDAD FERMÍN TORO
SISTEMA DE APRENDIZAJES INTERACTIVOS A DISTANCIA
CABUDARE
DISTRIUCIONES DISCRETAS
ESTADÍSTICA APLICADA
INTEGRANTE:KAREN NARIÑO
C.I.: 21.759.611
INGENIERÍA EN MANTENIMIENTO MECÁNICO
Num. Hipergeométrica Binomial Poisso
n
1 N = 19 n = 21 λ = 3N1 = 6 p = 0,25
n = 8x = 2 x = 8 x = 2
P(X=x) 0,3405 P(X=x) 0,0737 P(X=x) 0,2240
Hipergeometrica
P(X=x) = (N1Cx) (N-N1Cn-x) (NCn)-1 for x = max (0, n-N+N1), ... , min (n, N1)P(X = 2) = 0,340557275542
Expectation = nN1/N = 2,526315789474Variance = nN1(N - N1)(N - n) / [N2(N - 1)] = 1,056325023084
Standard deviation = 1,027776737956
Binomial
P(X=x) = (nCx) px (1-p)n-x for x = 0,1, ..., nP(X = 8) = 0,073766565781
Expectation = np = 5,25Variance = np(1 - p) = 3,9375
Standard deviation = 1,984313483298Moment generating function M(t) = (1 - p + pet)n
Poisson
P(X=x) = e- x / x! for x = 0, 1, ....P(X = 2) = 0,22404180766
Expectation = = 3Variance = = 3
Standard deviation = 1,732050807569Moment generating function M(t) = exp[(et - 1)]