stata wzory

E(X) = ±.,p,    D^!(X) = ^[x,-£(Z)]²p_i

1=1 ^ '

(x-m)² Standaryzacja:

F( x)

20'

ajlir

U

x - w

f(U)~

l -4-

»"!_*_**    E(X) = np

Wariancja:

D\X) = )ipq

(T

y[2/r

X ~~ N(m₉a)

P(a <x <b) = P

a-w x — /// b-m

£(0 = o

o

G

o

o

= P("i <^U <//₂) = 0(//₂)-4>(//i) t = -j=yfk _D~_(t) =_—

(/)

k-2

m —

X = -f_JX_i T= S²=-Y(X_i-X)² W=— x~N

ntt v/7    ¹    n

P

<T

T

u =

X-w X-m

a

JT,

a

x-u_a-j= < m < x + u_aT= 1 = 1 -a a-0.05 =>$((/J = 1-— = 0.975 =>u_a = 1.96

y]n    yjn J    2

t -

X - m

I-7 X - m j-

Vw - 1 =—-V«

Pl x — t

S(X)

X~~N

77/.

<7

U =

₂ nS²(X)

z~=-

S(X)

X - w X - w

a	<7
Y	nS\X) 2

<<7 <

2 . »5²(X)

V» P\x- u

syn

^{a n}-' TY

S(X)

< m < x + t

° ,JT,

< m < x + u

•V(.V)

"-¹TY

S(X)

= 1 -a

~ 1 - a

O

z,^.

= l-aS(x)

a

a.-j= V2;/

" T .

S(X)-a S(X) - a ^

u =

a

<7

P\S(X)-u_a^)TL_<(7<S(_<X) + u_aTT\~\-a 7 = ^{W p}

w

--P

11

2 w

Tii

TH \

p(i-p)    p(i-p)

i ^f)} | j /w

p

W    J 77 V 77

--u.

77

’cr

77

777

<_P< — + ll_a 77

-	(-f)
■
	77

= 1 - a

U =

V 7/

x- m₀

u

x-m₀ r-    X - m₀ - X - m₀

u = —T xń ~ wc0,1) t =-- -    ^—--vt;

5(x)    S(x)    SM

n-5²(x)    (n-l)-Ś²(x)    -- ',-

*² =-7    ⁼-5- U = J?Xp — 'JTn--3

/    /    ( /l /

ŁuLELCyrtf _{r2 =}

^ ^; n-k    n-k    zr₌₁(y, -y)

9pro.q = ax_T + b Y/X:y = ax + b ^b = y - ax

ifc-^)² z

S.1 CTi-W    .

-3 R² = 1 — <p²

A" = =

S*»

i = l

"aT

Ż ^x'^n> Y ^/ = 1	Ż^Xin> X - = ^i=1
A = = - N	N

i = l

N

X_t - Xi

i = 1 V

N

ⁿD ~ ⁿD-1

n,

■h,

(ⁿo ~ n_D-i) + {n_B ~ n_D+l )