Table of Distributions
PMF/PDF
Distribution
Name
Binomial
; ,
Hypergeometric
=
ℎ ; , ,
max{0,
Negative
binomial
∗
) ;
Geometric
−
−
} ≤
= 0,1,2, ⋯ ,
−
− ,
.
=
/0
,!
≤ min{ , }.
,
1
2 ; 3, 4 = 54 − 3 , 3 ≤ ≤ 4
0,
elsewhere
*
1
B A
; <, = =
. (@A
, −∞ <
√2? =
<∞
Uniform
Normal
−
⋅
−1
⋅ #1 − $
(
1
1−
3+4
2
4−3
12
(
,-
= 0,1,2, ⋯
Variance
⋅
−1 &
&
,
−1
= , + 1, + 2, ⋯
*
=
,
= 1,2,3, ⋯
; ,
; ,- =
Poisson
=
,
Mean
<
,-
(
=(
Important Formulae
EF =
∑E
,
L=
⋅
,
100
<=X E =Y 2
∑E ( − ∑E
−1
H=I
<_
e
= Yℎ
=Z 2
\
CVar =
2
[ ,
E > RW + 1.5 IQR
\
<=X E =Z
`
,
no. of values < E + 0.5
=
E < R* − 1.5 IQR ,
,
(
,
\
2
⋅ 100
= ( = X]E ( ^ − <( ,
[ ,
(
=a`bc
= d( = (
−∞ <
s
⋅ 100
EF
<∞