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YMR0070, YMR3720 Tõenäosusteooria ja matemaatiline statistika

YMR0070, YMR3720 Tõenäosusteooria ja matemaatiline statistika

YMR0070, YMR3720 Tõenäosusteooria ja matemaatiline statistika

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20<br />

7.12. 0,14.<br />

7.13. 0,525.<br />

7.14. 0,4.<br />

7.15. 0,2.<br />

7.16.<br />

9<br />

14<br />

7.17. 0,813.<br />

7.18. 0,659.<br />

7.19. 0,173.<br />

≈ 0, 643.<br />

7.20. 3, 0,222.<br />

7.21. 0,178.<br />

7.22.<br />

x k 1 2 3 4 5<br />

p k 0,2 0,2 0,2 0,2 0,2 ,<br />

EX = 3, DX = 2, σ = √ 2 ≈ 1, 4, P (X ≤ 3) = 0, 6,<br />

F (x) = 0, 2 · 1(x − 1) + 0, 2 · 1(x − 2) + 0, 2 · 1(x − 3)+<br />

+0, 2 · 1(x − 4) + 0, 2 · 1(x − 5) =<br />

⎧<br />

0, x ≤ 1,<br />

0, 2, 1 < x ≤ 2,<br />

5∑<br />

⎪⎨<br />

0, 4, 2 < x ≤ 3,<br />

= 0, 2 · 1(x − k) =<br />

0, 6, 3 < x ≤ 4,<br />

k=1<br />

0, 8, 4 < x ≤ 5,<br />

⎪⎩<br />

1, x > 5,

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