Distribución f(x) F(x) )t(M
X
E(X) Var(X)
Binomial nxqp
x
n
xf
xnx
,...,2,1,0)( =
=
−
nxqp
i
n
xF x
i
ini ≤≤
=
∑
=
−0)(
0
(
)
tqpe)t(M
n
t
X
∀+=
pnXE
=
)(
pqn)X(Var
=
Hipergeométrica
)Np,nmin(x))NpN(n,max(
n
N
xn
NpN
x
Np
)x(f
≤≤−−
−
−
=
0
pn)X(E
=
1
−
−
=
N
nN
qpn)X(Var
Poisson
,...2,1,0
!
)( ==
−
x
x
e
xf x
µ
µ
,...2,1,0
!
)(
0
==
∑
=
−x
i
e
xF x
i
i
µ
µ
(
)
te)t(M
t
e
X
∀=
−µ 1
µ
=
)( XE
µ
=
)( XVar
Uniforme
bxa
a
b
xf ≤≤
−
=1
)(
bxa
a
b
ax
xF ≤≤
−
−
=)(
2
ab
)X(E +
=
( )
12
2
ab
)X(Var −
=
Normal
0
2
1
2
2
1
>σ
∞<µ<∞−
∞<<∞−
πσ
=
σ
µ−−
xe)x(f
x
te)t(M
tt
X
∀=
σ+µ
22
2
1
µ
=
)( XE
2
σ=)X(Var
Gamma
0,0
)(
1
)( /1
>>
Γ
=−−
βα
βα
βα
α
x
exxf x
( )
entero α
1
1
1
β
<
β−
=
α
t
t
)t(M
X
entero α
αβ
=
)X(E
entero α
2
αβ=)X(Var
Exponencial
0,0
1
)( />>= −
β
β
β
xexf x
01)( >−=
−
xexF
x
β
( )
β
<
β−
=1
1
1t
t
)t(M
X
β
=
)(XE
2
β=)X(Var
Chi-cuadrado
00
2
2
12
1
2
2
>ν>
ν
Γ
=−−
ν
ν,xex)x(f
x
( )
2
1
21
2
<−=
−
tt)t(M
v
X
ν
=
)( XE
ν
=
2)X(Var