Formulário

LICENCIATURA: MARKETING

FORMULÁRIO
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TEORIA DA PROBABILIDADE: acontecimentos A e B (A, B   )
P :   IR
A  P(A)

; P(A)  0 ; P(  )  1 ; A  B    P(A  B)  P(A)  P(B)

P( A )  1  P(A) ; P( )  0 ; P(A  B)  P(A)  P(A  B) ; P(A  B)  P(A)  P(B)  P(A  B) ;
A  B  P(A)  P(B) ; 0  P(A)  1

P(A | B) 

P(A  B)
, P(B)  0
P(B)

; P(A  B)  P(A)  P(B | A)  P(B)  P(A | B)

A e B independentes  P(A  B)  P(A)  P(B)

A

1

, A 2 , , A m  ,

m

A

i

 Ω e A i  A j   i , j  1, 2 , , m ; i  j  , P(A i )  0 

i 1

m

m

i 1

i 1

P(B)   P(A i  B)   P(A i )  P(B | A i )

P(A i | B) 

P(A i  B)
, P(B)  0 , i  1, , m
P(B)

VARIÁVEL ALEATÓRIA: v.a. X
f.d.: F ( x )  P( X  x )  P X     , x  

;

 n k
 x i  P X  x i  ,
EX    i 1

g k 
,
 k X v.a. discreta

, k  IN

X v.a. contínua

E X    :
Ec   c , c  IR ; Ec X  d   c E X   d , c, d  IR ; E X  Y   E X   EY  , X e Y vsas ;
E X  Y   E X   EY  , X e Y vsas independentes

Var  X    2 : Var  X   EX 2   E X 

2

Var c   0 , c  IR ; Var c X  d   c 2 Var  X  , c, d  IR
Var  X  Y   Var  X   Var Y  , X e Y vsas independentes

1 

EX 3   3 E X   EX 2   2 E X 

3

3

CV 

2 

P  X       e P  X      1   , X v.a. discreta

 

Var( X )

EX 4   4 E X   EX 3   6 E X   EX 2   3 E X 
2

;






4

4
F      , X v.a. contínua

P  X  x i   P  X  x i 1  e P  X  x i   P  X  x i  1  , X v.a. discreta
  0 x  V    f ( x )  f    , X v.a. contínua (f (x)  f.d.p.)
1/13

AIQ   0.75   0.25

LICENCIATURA: MARKETING

FORMULÁRIO
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