Mathematic Methods HW Solutions 71

# Mathematic Methods HW Solutions 71 - 72 = 0 236(c 6 17 = 0...

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Chapter 15 71 9.3 Number of particles: 0 1 2 3 4 5 Number of intervals: 406 812 812 541 271 108 9.4 P 0 = 0 . 018, P 1 = 0 . 073, P 4 = 0 . 195 9.5 P 0 = 0 . 37, P 1 = 0 . 37, P 2 = 0 . 18, P 3 = 0 . 06 9.6 Exactly 5: 64 days. Fewer than 5: 161 days. Exactly 10: 7 days. More than 10: 5 days. Just 1: 12 days. None at all: 2 or 3 days 9.7 0 . 238 9.8 3, 10, 3 9.9 P 2 = 0 . 022, P 6 = P 7 = 0 . 149, P n > 10 = 0 . 099 9.11 Normal: 0 . 08, Poisson: 0 . 0729, (binomial: 0 . 0732) 10.8 ¯ x = 5, ¯ y = 1, s x = 0 . 122, s y = 0 . 029, σ x = 0 . 131, σ y = 0 . 030, σ mx = 0 . 046, σ my = 0 . 0095, r x = 0 . 031, r y = 0 . 0064, x + y = 6 with r = 0 . 03, xy = 5 with r = 0 . 04, x 3 sin y = 105 with r = 2 . 00, ln x = 1 . 61 with r = 0 . 006 10.9 ¯ x = 100 with r = 0 . 47, ¯ y = 20 with r = 0 . 23, x - y = 80 with r = 0 . 5, x/y = 5 with r = 0 . 06, x 2 y 3 = 8 · 10 7 with r = 2 . 9 · 10 6 , y ln x = 92 with r = 1 10.10 ¯ x = 6 with r = 0 . 062, ¯ y = 3 with r = 0 . 067, 2 x - y = 9 with r = 0 . 14, y 2 - x = 3 with r = 0 . 4, e y = 20 with r = 1 . 3, x/y 2 = 0 . 67 with r = 0 . 03 11.1 (a) 11 / 30 (b) 19 . 5 cents (c) 6 / 11 (d)7 / 11 11.2 (b) E ( x ) = 5, σ = 3 (c) 0 . 0767 (d) 0 . 0807 (e) 0 . 0724 11.3 20 / 47 11.4 5 / 8 11.6 MB: 25 FD: 10 BE: 15 11.7 ¯ x = 1 / 4, σ = 3 / 4 11.8 (b) ¯ x = 4 / 3, σ = 2 / 3 (c) 1 / 5 11.9 (a) x : 0 1 2 p : 55 / 72 = 0 . 764 16 / 72 = 0 . 222 1 / 72 = 0 . 139 (b) 17
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Unformatted text preview: / 72 = 0 . 236 (c) 6 / 17 = 0 . 353 (d) ¯ x = 1 / 4, σ = √ 31 / 12 = 0 . 463 11.10 (a) 0 . 7979, 0 . 7979 (b) 0 . 9123, 0 . 9123 11.11 (a) 0 . 0347, 0 . 0352 (b) 0 . 559, 0 . 562 11.12 (a) 0 . 00534, 0 . 00540 (b) 0 . 503, 0 . 500 11.13 30, 60 11.14 1 11.15 binomial: 0 . 2241, normal: 0 . 195, Poisson: 0 . 2240 11.16 (a) binomial: 0 . 0439, normal: 0 . 0457, Poisson: 0 . 0446 (b) binomial: 0 . 0946, normal: 0 . 0967, Poisson: 0 . 0846 11.17 ¯ x = 2 with r = 0 . 073, ¯ y = 1 with r = 0 . 039, x-y = 1 with r = 0 . 08, xy = 2 with r = 0 . 11, x/y 3 = 2 with r = 0 . 25 11.18 ¯ x = 5 with r = 0 . 134, ¯ y = 60 with r = 0 . 335, x + y = 65 with r = 0 . 36, y/x = 12 with r = 0 . 33, x 2 = 25 with r = 1 . 3...
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