047_Prob and Stat for Eng Soln_Probability and Statistics for Engineering and the Sciences 6TH ED

047_Prob and Stat for Eng Soln_Probability and Statistics for Engineering and the Sciences 6TH ED

This preview shows pages 1–5. Sign up to view the full content.

CHAPTER 2 Section 2.1 1. a. S = { 1324, 1342, 1423, 1432, 2314, 2341, 2413, 2431, 3124, 3142, 4123, 4132, 3214, 3241, 4213, 4231 } b. Event A contains the outcomes where 1 is first in the list: A = { 1324, 1342, 1423, 1432 } c. Event B contains the outcomes where 2 is first or second: B = { 2314, 2341, 2413, 2431, 3214, 3241, 4213, 4231 } d. The compound event A B contains the outcomes in A or B or both: A B = {1324, 1342, 1423, 1432, 2314, 2341, 2413, 2431, 3214, 3241, 4213, 4231 } 2. a. Event A = { RRR, LLL, SSS } b. Event B = { RLS, RSL, LRS, LSR, SRL, SLR } c. Event C = { RRL, RRS, RLR, RSR, LRR, SRR } d. Event D = { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR, SSL, SRS, SLS, RSS, LSS } e. Event D contains outcomes where all cars go the same direction, or they all go different directions: D = { RRR, LLL, SSS, RLS, RSL, LRS, LSR, SRL, SLR } Because Event D totally encloses Event C, the compound event C D = D: C D = { RRL, RRS, RLR, RSR, LRR, SRR, LLR, LLS, LRL, LSL, RLL, SLL, SSR, SSL, SRS, SLS, RSS, LSS } Using similar reasoning, we see that the compound event C D = C: C D = { RRL, RRS, RLR, RSR, LRR, SRR } 47

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

View Full Document
Chapter 2: Probability 3. a. Event A = { SSF, SFS, FSS } b. Event B = { SSS, SSF, SFS, FSS } c. For Event C, the system must have component 1 working ( S in the first position), then at least one of the other two components must work (at least one S in the 2 nd and 3 rd positions: Event C = { SSS, SSF, SFS } d. Event C = { SFF, FSS, FSF, FFS, FFF } Event A C = { SSS, SSF, SFS, FSS } Event A C = { SSF, SFS } Event B C = { SSS, SSF, SFS, FSS } Event B C = { SSS SSF, SFS } 4. a. Home Mortgage Number Outcome 1 2 3 4 1 F F F F 2 F F F V 3 F F V F 4 F F V V 5 F V F F 6 F V F V 7 F V V F 8 F V V V 9 V F F F 10 V F F V 11 V F V F 12 V F V V 13 V V F F 14 V V F V 15 V V V F 16 V V V V b. Outcome numbers 2, 3, 5 ,9 c. Outcome numbers 1, 16 d. Outcome numbers 1, 2, 3, 5, 9 e. In words, the UNION described is the event that either all of the mortgages are variable, or that at most all of them are variable: outcomes 1,2,3,5,9,16. The INTERSECTION described is the event that all of the mortgages are fixed: outcome 1. f. The UNION described is the event that either exactly three are fixed, or that all four are the same: outcomes 1, 2, 3, 5, 9, 16. The INTERSECTION in words is the event that exactly three are fixed AND that all four are the same. This cannot happen. (There are no outcomes in common) : b c = . 48
Chapter 2: Probability 5. a. Outcome Number Outcome 1 111 2 112 3 113 4 121 5 122 6 123 7 131 8 132 9 133 10 211 11 212 12 213 13 221 14 222 15 223 16 231 17 232 18 233 19 311 20 312 21 313 22 321 23 322 24 323 25 331 26 332 27 333 b. Outcome Numbers 1, 14, 27 c. Outcome Numbers 6, 8, 12, 16, 20, 22 d. Outcome Numbers 1, 3, 7, 9, 19, 21, 25, 27 49

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

View Full Document
Chapter 2: Probability 6. a.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 48

047_Prob and Stat for Eng Soln_Probability and Statistics for Engineering and the Sciences 6TH ED

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online