STAT1301 (Assig1 ans)

STAT1301 (Assig1 ans) - 09/10 THE UNIVERSITY OF HONG KONG...

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09/10 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 (b) 725760 (c) 1036800 (d) 86400 (e) 3840 4. (a) 24300000 (b) 17100720 5. (a) 4226 . 0 4 4 5 52 3 2 4 4 13 = × × × C C C (b) 04754 . 0 4 3 5 52 2 4 2 4 3 13 = × × × × C C C C (c) 02113 . 0 4 3 5 52 2 3 4 3 13 = × × × C C C (d) () 003925 . 0 4 4 10 5 52 5 = × C (straight-flush is excluded) (e) () 001965 . 0 10 4 5 52 5 13 = × C C (straight-flush is excluded) (f) 001441 . 0 2 5 52 2 4 3 4 2 13 = × × × C C C C (g) 0002401 . 0 4 2 5 52 2 13 = × × C C (h) 00001539 . 0 10 4 5 52 = × C 6. 0.2068 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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09/10 p. 2 13. (a) 0.8 (b) 0.2 (c) 0 14. (a) () 20000 100000 % 0 % 19 % 1 = × + + (b) () 12000 100000 % 1 % 3 % 1 % 7 = × + + + 1%
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STAT1301 (Assig1 ans) - 09/10 THE UNIVERSITY OF HONG KONG...

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