Distribution (Continuous) - Casio FX-CG20 AU User Manual

k Distribution (Continuous)
Distribution
Normal
Distribution
t
Student-
Distribution
χ
2
Distribution
F
Distribution
Distribution
Normal
Distribution
t
Student-
Distribution
χ
2
Distribution
F
Distribution
Probability Density
(x – μ) 2
μ
1
–
p(x) = 2
e σ
2
πσ
2
df + 1
Γ
1 +
2
×
p(x) =
π
df
Γ
2
df
1 1 2
× × x
p(x) =
2
df
Γ
2
ndf + ddf
Γ
2
p(x) =
ndf ddf
Γ × Γ
2 2
Inverse Cumulative Distribution
∫
Upper
p =
p x dx
( )
–∞
tail = Left
σ
( > 0)
df+
1
–
2
2
x
df
× df
df
x
–1 –
× e
2 2
(x 0)
ndf
ndf
–1
ndf × x
ndf 2
2
x 1 +
ddf
ddf
∞
∫
p =
p x
(
Lower
tail = Right
∞
∫
p = p x
( )
Lower
6-71
Cumulative Distribution
∫
Upper
p =
Lower
ndf + ddf
–
2
(x 0)
∫
Upper
p =
dx
)
Lower
tail = Central
dx
p x dx
( )
p x dx
( )