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9. Sandsynlighedsregning - KennethHansen.net

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2.7<br />

2.8 a) 1,8% b) 44,4 %<br />

2.9 39,1%<br />

3.1 a) 0,3 b) 0,45 c) 0,3<br />

d) 0,25 e) 0,75 f) 0,75<br />

g) 0,222 h) 0,357 i) 0<br />

j) 1 k) 6,5 l) 2,550<br />

3.2 a)<br />

b)<br />

c)<br />

4.1 64<br />

d) 17/27 83/27 146/27<br />

e) 1628/729 3830/729 32414/729<br />

4.2 a) 9 735 10 11 −<br />

, ⋅<br />

4.3 0,00202<br />

b) 0, 0825<br />

4.4 a) 4 b) 1020 c) 624 d) 54912<br />

e) 5148 f) 17160 g) 5148 h) 10240<br />

i) 40<br />

5.1 63,3 %<br />

t -5 -4 -3 -2 -1 0<br />

P( Y = t)<br />

1/36 2/36 3/36 4/36 5/36 6/36<br />

t 1 2 3 4 5<br />

P( Y = t)<br />

5/36 4/36 3/36 2/36 1/36<br />

t -2 1 3<br />

P( X = t)<br />

8/27 4/9 7/27<br />

t -1 0 2 6<br />

P( Y = t)<br />

1/3 1/27 7/27 10/27<br />

t -12 -4 -1 0 2 6 18<br />

P( XY = t)<br />

1/9 1/27 2/9 1/27 2/9 2/9 4/27<br />

63

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