Probabilistica

16. A B C

A = A 1 %

B = 2A 3 %

C = 2B 2 %

Porcentaje de artículos defectuosos = 1 %, 2 %, 3 %

D: Defectuoso.

ND: No Defectuoso.

1 % A 2A 2(2A)

3 % A2A 4A

2 % A + 2A + 4A = 6 %

6 % 7A = 6 %

P (D) = 0.06

P (ND) = 0.94

P (A U C) = P (A) + P (C)= 0.01 + 0.02

= 0.03

18. Consecuencia falta de frenos = 0.04 CFF

Correctamente falta de frenos = 0.82 CRFFIncorrectamente falta de frenos = 0.03 IFF

A. P(CFF U CRFF) = P(CFF) + P(CRFF)

= 0.04 + 0.82

= 0.86P (CRFF U CFF)

B. P(CRFF/CFF) =

P (CFF)

P (CRFF) + P (CFF)

=

P (CFF)0.04 + 0.82

= = 21.5

0.04

21. A = Caras en los dos primeros lanzamientos

B = Sello en el tercertiro

C = Dos sellos en los tres tiros

P (A U B) = P (A) * P (B)

P (B U C) = P (B) * P (C)

C (C C C)

C S (C C S)

1/2 CC (C S C)

S S (C S S)

C C (S C C)

1/2 S S (S C S)

S C (S S C)S (S S S)

2

P(A) =

8 1

P (A Ω B) =

4 8

P (B) =

8 2P (B Ω C) =

3 8

P(C) =

8

P (A U B) = P (A) + P (B) - P (A Ω B)

2 4 1 5...