# ch02 - CHAPTER 2 Section 2-1 2-1 2-2 Let"a"b denote a part...

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CHAPTER 2 Section 2-1 2-1. Let "a", "b" denote a part above, below the specification {} S aaa aab aba abb baa bab bba bbb = ,,,,,,, 2-2. Let "e" denote a bit in error Let "o" denote a bit not in error ("o" denotes okay) = oooo oeoo eooo eeoo oooe oeoe eooe eeoe ooeo oeeo eoeo eeeo ooee oeee eoee eeee S , , , , , , , , , , , , , , , 2-3. Let "a" denote an acceptable power supply Let "f" ,"m","c" denote a supply with a functional, minor, or cosmetic error, respectively. Sa f m c = ,, , 2-4. = set of nonnegative integers { S = 012 , , ,... } 2-5. If only the number of tracks with errors is of interest, then { } S = 24 , , ,..., 2-6. A vector with three components can describe the three digits of the ammeter. Each digit can be 0,1,2,. ..,9. Then S is a sample space of 1000 possible three digit integers, { } S = 000 001 999 , 2-7. S is the sample space of 100 possible two digit integers. 2-8. Let an ordered pair of numbers, such as 43 denote the response on the first and second question. Then, S consists of the 25 ordered pairs 1112 55 , 2-9. in ppb. { ,..., 2 , 1 , 0 = S } } } 2-10. in milliseconds { ,..., 2 , 1 , 0 = S 2-11. 0 . 14 , 2 . 1 , 1 . 1 , 0 . 1 K = S 2-12. s = small, m = medium, l = large; S = {s, m, l, ss, sm, sl, ….} 2-13 in milliseconds. { ,..., 2 , 1 , 0 = S 2-14. automatic transmission transmission standard without with air without air air air with white red blue black white red blue black white red blue black white red blue black 2-1

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2-15. PRESS CAVITY 1 2 2 3 4 5 6 7 8 3 6 7 2-16. memory disk storage 4 81 2 200 300 400 200 300 400 200 300 400 2-17. c = connect, b = busy, S = {c, bc, bbc, bbbc, bbbbc, …} 2-18. {} S s fs ffs fffS fffFS fffFFS fffFFFA = ,, , , , , 2-19 a.) b.) 2-2
c.) d.) e.) 2.20 a.) 2-3

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b.) c.) d.) e.) 2-4
2-21. a) S = nonnegative integers from 0 to the largest integer that can be displayed by the scale. Let X represent weight. A is the event that X > 11 B is the event that X 15 C is the event that 8 X <12 S = {0, 1, 2, 3, …} b) S c) 11 < X 15 or {12, 13, 14, 15} d) X 11 or {0, 1, 2, …, 11} e) S f) A C would contain the values of X such that: X 8 Thus (A C) would contain the values of X such that: X < 8 or {0, 1, 2, …, 7} g) h) B would contain the values of X such that X > 15. Therefore, B C would be the empty set. They have no outcomes in common or i) B C is the event 8 X <12. Therefore, A (B C) is the event X 8 or {8, 9, 10, …} 2-22. a) A B C b) B c) 2-5

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d.) A B C e.) If the events are mutually exclusive, then A B is equal to zero. Therefore, the process would not produce product parts with X =50 cm and Y =10 cm. The process would not be successful 2-23. Let "d" denoted a distorted bit and let "o" denote a bit that is not distorted. a) S dddd dodd oddd oodd dddo dodo oddo oodo ddod dood odod oood ddoo dooo odoo oooo = ,,,, ,,, b) No, for example {} A A dddd dddo ddod ddoo 12 ∩= c) = dooo ddoo dood ddod dodo dddo dodd dddd A , , , , , 1 d) = oooo odoo oood odod oodo oddo oodd oddd A , , , , , , , 1 e) } { 4 3 2 1 dddd A A A A = f) ddoo oodd ddod oddd dddo dodd dddd A A A A , , , , , , ) ( ) ( 4 3 2 1 = 2-6
2-24. Let "d" denote a defective calculator and let "a" denote an acceptable calculator a a) {} aaa daa aad dad

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ch02 - CHAPTER 2 Section 2-1 2-1 2-2 Let"a"b denote a part...

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