1.1 Solution of Assignment 1

1.1 Solution of Assignment 1 - 10/11 THE UNIVERSITY OF HONG...

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10/11 p. 1 THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT1301 Probability and Statistics I Assignment 1 Solution 1. 19958400 2. (a) 588 (b) 770 (c) 672 3. (a) 3628800 ! 10 = (b) (arrange (A,B), C, D, E, F, G, H, I, J in a row) 725760 2 ! 9 = × (c) (MWMWMWMWMW or WMWMWMWMWM) 28800 ! 5 ! 5 2 = × × (d) (arrange (A,B,C,D,E,F), G, H, I, J in a row) 86400 ! 6 ! 5 = × (e) (arrange (A,B), (C,D), (E,F), (G,H), (I,J) in a row) 3840 2 ! 5 5 = × 4. (a) 24300000 (b) 17100720 5. (a) 0.4226 (b) 0.04754 (c) 0.02113 (d) 0.003925 (e) 0.001965 (f) 0.001441 (g) 0.0002401 (h) 0.00001539 6. () ( ) ( ) accountant 1 and lawers 2 lawers 3 doctors than lawers more P P P + = ( ) ( ) s accountant 2 and lawer 1 doctor 1 and lawers 2 P P + + 2068 . 0 3 21 2 7 1 5 1 9 2 5 1 7 2 5 3 5 = + + + = 7. (a) 816 (b) 1637 12. (a) c c G F E (b) G F E c (c) G F E (d) () () ( G F G E F E ) ) (e) G F E (f) c c c G F E (g) () () ( () c G F G E F E (h) () c G F E (i) () () () () ( ) c G F E G F G E F E (j) Ω

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1.1 Solution of Assignment 1 - 10/11 THE UNIVERSITY OF HONG...

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