chapter1 - 1 Chapter 1 11. (a) P (A B C) = 1 - P (A B C) =...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Chapter 1 1–1. (a) P ( A B C ) = 1 - P ( A B C ) = 1 - 0 . 25 = 0 . 75 (b) P ( A B ) = P ( A ) + P ( B ) - P ( A B ) = 0 . 18 1–2. (a) A B C A (B C) = (A B) C A B C A (B C) = (A B) C U U (b) A B C A C A B C A (B C) = (A B) C(A C) U U A B = A A C B C A B C A (B C) = (A B) (A C) U U = (c) A B A B = A U (d) A B A B = B U (e) A B U A B = A B (f) A B C U A B and B C A C 1–3. (a) A B = { 5 } , (b) A B = { 1 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } , (c) A B = { 2 , 3 , 4 , 5 } , (d) A ( B C ) = U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } , (e) A ( B C ) = { 1 , 2 , 5 , 6 , 7 , 8 , 9 , 10 }
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 1–4. P ( A ) = 0 . 02, P ( B ) = 0 . 01, P ( C ) = 0 . 015 P ( A B ) = 0 . 005, P ( A C ) = 0 . 006 P ( B C ) = 0 . 004, P ( A B C ) = 0 . 002 P ( A B C ) = 0 . 02 + 0 . 01 + 0 . 015 - 0 . 005 - 0 . 006 - 0 . 004 + 0 . 002 = 0 . 032 1–5. S = { ( t 1 ,t 2 ): t 1 R,t 2 R,t 1 0 ,t 2 0 } A t 1 t 2 t 1 + t 2 = 0.3 B t 1 t 2 0.15 0.15 C t 1 t 2 A = { ( t 1 ,t 2 ): t 1 R,t 2 R, 0 t 1 0 . 3 , 0 t 2 0 . 3 - t 1 } B = { ( t 1 ,t 2 ): t 1 R,t 2 R, 0 t 1 0 . 15 , 0 t 2 0 . 15 } C = { ( t 1 ,t 2 ): t 1 R,t 2 R,t 1 0 ,t 2 0 ,t 1 - 0 . 06 t 2 t 1 + 0 . 06 } 1–6. (a) S = { ( x,y ): x R,y R, 0 x y 24 } (b) i) t 1 t 2 24 23 24 1 y x = 1 ii) x y 24 t 2 t 1 iii) x y 24 19.2 24 4.8
Background image of page 2
3 1–7. S = { NNNNN,NNNND,NNNDN,NNNDD,NNDNN, NNDND,NNDD,NDNNN,NDNND,NDND, NDD,DNNNN,DNNND,DNND,DND,DD } 1–8. { 0 , 1
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 8

chapter1 - 1 Chapter 1 11. (a) P (A B C) = 1 - P (A B C) =...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online