Taller estadistica

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Taller estadistica

  1. 1. EVENTOS 1. C= Tiene cuentas de ahorro CDT= tiene CDT C'= No tiene cuentas de ahorro CDT'= No tiene CDT P (C)= 0.65 P (C ∩CDT)= 0.30 P ( CDT/C) = P (CDT ∩C) / P (C) = 0.30 / 0.65 = 46% 2. B= Localizada en Bogotá M= Localizada en Medellín B'= No localizada en Bogotá M'= No localizada en Medellín P (B)= 0.33 P (M)= 0.26 P (B U M) = 0.51 P (B U M) = P (B)+ P (M) - P (B ∩M) P ( B U M) - P (B) - P (M) = -P (B ∩M) 0.51 -0.3 - 0.26 = -P (B ∩M) -0.08 = -P (B ∩M) 0.08 = P (B ∩M) P (B' ∩M') = 0.49 ~ 49% 3. A B C Total D 0.05 0.10 0.15 0.30 I 0.35 0.25 0.10 0.70 Total 0.40 0.0.34 0.25 1 a. P (C/I) = P (C ∩I)/ P (I) = 0.10 /0.70 = 14% b. P (D ∩A)= P (D ∩A)/P (A) = 0.50/0.40 = 12.5% c. P (B/D) + (C/D) P (B U C/D) = P [(B U C) ∩D]/ P(D) P[(B ∩D) + P (C ∩D)]/ P(D) = 0.10 + 0.15/0.30 = 0.25/0.30 = 83.3%
  2. 2. P (B ∩D)/ P(D) + P (C ∩B)/ P(D) =0.10/0.30 + 0.15/0.30 =0.10+0.15/0.30 =0.25/0.30 = 83.3% ● P (C U I)= P(C) + P(I) - P(C ∩I) =0.25 + 0.70 - 0.10 = 0.85 ~ 85% 4. P(A)= 0.32 P(B)= 0.28 P(A AB)= 0.12 A A ' Total B 0.12 0.16 0.28 B' 0.20 0.52 0.72 Total 0.32 0.68 1 a. P(A') = 0.68 b. P(A' ∩B) = 0.16 P(A' ∩B) = P(B)- P(A ∩B) = 0.28- 0.12 = 0.16 c. P(A U B)= P (A) + P (B) - P (A ∩B) =0.32 + 0.28 - 0.12 =0.48 ~ 48% d. P (A ∩B')= 0.20 e. P(A U B)'= 1-0.48 = 0.52~ 52% f. P (A' U B) = P (A')+P (B) - P (A' ∩ B) = 0.68 + 0,28 - 0.16 =0.80 ~ 80%
  3. 3. A= Se cierra EPS Armenia A'=No se cierre EPS Armenia P= Se cierre EPS Pereira P'= No se cierre EPS Pereira P (A)= 0.48 P (B)= 0.36 P (A U P)= 0.625 P (A ∩B)= 0.215 A A' P 0.215 0.145 0.36 P' 0.265 0.375 0.64 0.480 0.52 1 P (A U P)= P (A) + P (P) - P (A ∩P) P (A U P) - P (A) - P(P) = - P (A ∩P) 0.625 - 0.48 - 0.36= - P (A ∩P) - 0.215 = - P (A ∩P) 0,215= P (A ∩P) P(A' ∩P') = 0.375 ~ 37.5 %

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