Casio FX-CG20 AU - Distribution (Discrete)

6-72
k Distribution (Discrete)
Distribution Probability
Binomial Distribution
p(x) = nCxp
x
(1–p)
n – x
(x = 0, 1, ·······, n)
n : number of trials
Poisson Distribution
(x = 0, 1, 2, ···)
p(x) =
x!
e
–
λ
λ
×
x
λ : mean ( λ > 0)
Geometric Distribution
p(x) = p(1– p)
x – 1
(x = 1, 2, 3, ···)
Hypergeometric
Distribution
p(x) =
MCx × N – MCn – x
N
Cn
n : Number of elements extracted from population (0  x integer)
M : Number of elements contained in attribute A (0  M integer)
N : Number of population elements ( n  N , M  N integer)
Distribution
Cumulative Distribution
Inverse Cumulative Distribution
Binomial Distribution
p =
Σ
p(x)
x=Lower
Upper
p H
Σ
p(x)
x=0
X
Poisson Distribution
Geometric Distribution
p =
Σ
p(x)
x=Lower
Upper
p H
Σ
p(x)
x=1
X
Hypergeometric
Distribution
p =
Σ
p(x)
x=Lower
Upper
p H
Σ
p(x)
x=0
X