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K distribution (discrete) – Casio FX-CG10 User Manual

Page 264

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6-71

k Distribution (Discrete)

Distribution

Probability

Binomial Distribution

p

(x) =

n

C

x

p

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) =

M

C

x

×

N

M

C

n

x

N

C

n

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

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