Applied Statistics and Probability for Engineers

CHAPTER 2

Section 2-1

2-1. Let a, bdenote a part above,

below the specification.

S{aaa,aab,aba,abb,baa,

bab,bba,bbb}

2-7. Sis the sample space of 100 pos-

sible two-digit integers.

2-9. S{0, 1, 2,...,} in ppb.

2-17. cconnect, bbusy, S

{c, bc,bbc, bbbc, bbbbc, ...}

2-21. (a)S{0, 1, 2, 3,...}

(b)S (c) {12, 13, 14, 15}

(d) {0, 1, 2,..., 11} (e)S

(f ) {0, 1, 2, ..., 7} (g)

(h) (i) {8, 9, 10,.. .}

2-23. Let ddenote a distorted bit and let

odenote a bit that is not distorted.

(a)

(b) No

(c) {dddd,dodd,dddo,dodo,

ddod,dood,ddoo,dooo}

(d) {oddd,oodd,oddo,oodo,

odod,oood,odoo,oooo}

(e) {dddd}

(f ) {dddd,dodd,dddo,oddd,

ddod,oodd,ddoo}

2-25. 212  4096

2-27. (a)

2-29. (a)

(b)

(c) 72.5

(d)

2-31. Let gdenote a good board, ma

board with minor defects, and ja

board with major defects.

(a)S{gg,gm,gj,mg,mm,

mj,jg,jm,jj}

(b)S{gg,gm,gj,mg,mm,

mj,jg,jm}

Section 2-2

2-35. (a) 0.4 (b) 0.8 (c) 0.6

(d) 1 (e) 0.2

2-37. (a)S{1, 2, 3, 4, 5, 6, 7, 8}

(b) 28 (c) 6 8

2-39. (a) 0.7 (b) 0.8

2-41. (a) 0.25 (b) 0.75

2-43. 5.7  10 ^8

2-45. (a) 0.86 (b) 0.79 (c) 0.14

(d) 0.70 (e) 0.95 (f ) 0.84

2-47. (a) 0.30 (b) 0.77 (c) 0.70

(d) 0.22 (e) 0.85 (f ) 0.92

Section 2-3

2-49. (a) 0.7 (b) 0.4 (c) 0.1

(d) 0.2 (e) 0.6 from part (b)

(f ) 0.8

2-51. No

2-53. (a) 350370 (b) 362 370

(c) 358370 (d) 345 370

2-55. (a) 13130 (b) No

Section 2-4

2-57. (a) 86100 (b)P(B)

79 100 (c) 70 79

(d) 70 86

2-59. (a) 345357 (b) 5 13

2-61. (a) 0.15 (b) 0.153

(c) 0.72 (d) 0.733

(e) 0.11 (f ) 0.76

2-63. (a) 1540 (b) 14 39

(c) 0.135 (d) 0.599

A ́B 5 x 0 x 06

A ̈B 5 x 0 52.5x

B¿ 5 x 0 x52.5 6

A¿ 5 x 0 x72.5 6

A ́B 92

A¿ ̈B10, B¿10,

Sμ

dddd, dodd, oddd, oodd,

dddo, dodo, oddo, oodo,

ddod, dood, odod, oood,

ddoo, dooo, odoo, oooo

∂

Appendix C

Answers to

Selected

Exercises

679

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