Tarea

FORMULARIO

x x=∑ n

xf x=∑ ∑f
2

pmf x=∑ ∑f
2
2

V x = A+∑ n
2

Vf x = A+∑ ∑f
V f =∑ ∑f
2

s

2

δ =∑2

s

n
CV = s x

δ f =∑ ∑f

s

V =∑

⎛ V⎟ ⎞ −⎜ ∑ ⎟ ⎟ ⎜ n ⎟ ⎟ n ⎝ ⎠
2

s

2

⎞ ⎛ Vf ⎟ −⎜ ∑ ⎟ ⎜ f ⎟ ⎟ ⎜∑ ⎟⎠ ⎝

2

s= s

2

δ = x−x
V = x−A

δ = pm − x V = pm − A
d1 i d1 + d 2
Md = Li +
n 2

Mo = Li +

−c i f
fn− G = ∑ pm1f1 pm 2f 2 ... pm nf−11 pm nf n

G = n x1 x 2 x3 ...x n−2 x n−1 x n
log x G = anti log ∑ n

n− n− G = ∑ x1f1 x 2f2 x3f3 ...x nf−22 x nf−11 x nf n

f

f log x G = anti log ∑ ∑f

f log pm G = anti log ∑ ∑f
H=

H=

n 1 ∑x
x − Mo s3

H=

∑f f ∑x
C 3 − C1

∑f f ∑pm
Sk = a3 = m3 s3

Sk =

Sk =

(C3 − C 2 )− (C 2 − C1 ) = C 3 + C1 − 2 Md
C 3− C1
3

m3

V f =∑ ∑f
V f =∑ ∑f
4

⎛ Vf ⎞ ⎛ Vf ⎞ ⎛ V 2 f ⎞ ⎟ ⎟ ⎟ ⎟ + 2⎜ ∑ ⎟ ⎟ ⎟ − 3⎜ ∑ ⎟ ⎜ ∑ ⎟ ⎟⎜ ⎜ f ⎟ ⎜ f ⎟⎜ ⎟ ⎟ ⎜∑ ⎟⎜∑ ⎠ ⎝ ⎠ ⎝ ∑f ⎠ ⎝
⎛ Vf ⎟ ⎛ V 3 f ⎟ ⎞ ⎞ ⎛ Vf ⎞ ⎟ + 6⎜ ∑ ⎟ ⎟ ⎟ − 4⎜ ∑ ⎟ ⎜ ∑ ⎟⎜ ⎟ ⎜ f ⎟⎜ ⎜ f ⎟ ⎟ ⎜ ∑ ⎟ ∑f ⎟ ⎜∑ ⎟ ⎝ ⎠⎝ ⎠ ⎝ ⎠

2m4

⎛ V 2 f ⎟ ⎛ Vf ⎟ ⎞ ⎞ ⎜∑ ⎟ − 3⎜ ∑ ⎟ ⎟ ⎜ ⎟ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ ∑f ⎟ ⎝ ⎠ ⎝ ∑f ⎠

4

a4 =

m4 m = 42 s4 s2

( )

f (z ) =1 −z 2 2 e 2π

z=

x −μ s

x = μ ± zs
z= p−P

z=
.

x −μ

σx

μ = x ± zσ x

σp

P = p ± zσ p