Page 396 - Fundamentals of Probability and Statistics for Engineers

Appendix C: Answers to Selected

Problems

CHAPTER 2

2.1 (a) Incorrect, (b) Correct, (c) Correct, (d) Correct, (e) Correct,
(f) Correct
)
2.4 (a f1, 2, ... ,10g, b) f1, 3,4,5,6g, c) f2, 7g, d) f2, 4, 6, 7, 8, 9, 10g,
(e) f1, 2, ... ,10g, f) f1, 3,4,5,6g, g) f1, 5g
2.7 (a)A B C, b) AB C, c) AB C) [ ABC) [ A BC), d) A [ B [ C,
(e) ABC) [ ABC), f) ABC, g) AB) [ BC) [ CA), h) ABC,
(i) ABC
2.9 (a) A [ B, b) AB [ AB
2.11 (a) 0.00829, (b) 0.00784, (c) 0.00829
2.14 (a) 0.553, (b) 0.053, (c) 0.395
2.16 0.9999
2.18 (a) 0.8865, (b) [1 1 p A ) 1 p C )][1 1 p B ) 1 p D )]
2.20 No
0.5,
2.22 No, (a) P A) ˆ P B) ˆ 0:5, (b) Impossible
2.23 Under condition of mutual exclusiveness: (a) false, (b) true,
(c) false, (d) true, (e) false
Under condition of independence: (a) true, (b) false, (c) false,
(d) false, (e) true
5

2.24 (a) Approximately 10 , (b) Yes, (c) 0.00499
t 1 t 0 t 1 t 0
2.26 (a) , b)
t t t 0
2.28 (a) 0.35, (b) 0.1225, (c) 0.65
2.30 (a) 0.08, (b) 0.375
2.32 (a) 0.351, (b) 0.917, (c) 0.25
2.34 (a) 0.002, (b) 0.086, (c) 0.4904

Fundamentals of Probability and Statistics for Engineers T.T. Soong  2004 John Wiley & Sons, Ltd
ISBNs: 0-470-86813-9 (HB) 0-470-86814-7 (PB)

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