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X^k

k n-k

P <(

-k

ki

X =

n - p

!- dla ,ve ia.b'.‘

J(.x) = <b~a

| 0 dla ,v« Ui.b) i 0 dla .v < a

Fix) = < ——— dla a <: x < b j b- a

P(n < X < b) — Pio < X <b) — P{a < X <b)~ P[a < X < b) — J f(x)d\ P(a < X <b)~ F(b) — F(a)

g (.v j = ,v => EX = ]T ₍*«■ Pi

X(x)=x² => EX²- ^.x}Pi

D'X = EX'~ ~(EX)^:

DpaX) = a²D²X.

D\X+b) = D²X, bz E

v - ° m

i l dla x > h

EX — j .v f(\)d\ — EX ’ = j ,v" • / i .v i<7.v = — DjY=,A-„r 12		+ - O
	0	dla x < 0
./ (-V) = <
	A,<?^-AA	dla x > 0
	0	dla x < 0
F(x) —'
EX =-	| -/v. 1 - <?	d l a a- > 0

II ><	1 = p. P(X = 1) = q, q = \- p
EX - 0 • cj +1 ■ p - p
EX^z=0^2-	<7 + 1^2' P=P
D*X = p-	-p^2 =zp(\-p)=p.q
Pi X = k	) = b^p^tq"-\ k =0,1.2,q = \ — p
EX ~n p
to li	■q
P(X =	k) = q^k~'p, k = 1,2,...,
-1 ^5 II
P n^2 v -
i.y a —	_

d²x =~L

x²

P(X = k) = — ek= 0,1,2. /c!

= A

rPx =x