Assignment 4 (Solution).pdf - Assignment 4 Solution 1...

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Assignment 4 Solution 1. Omitted. 2. 𝑃(16 < 𝑋 < 24) ≥ 3 4 3. (a) b a 3 4 1 , b a 2 1 , b a 3 4 1 (b) 675 . 0 , , 675 . 0 (c) 2877 . 0 , 6931 . 0 , 3863 . 1 4. 93.06 5. 89 th 6.   3 2 8 y y Y e e y f , y 8. (a)   x x x f X 2 1 exp 2 1 2 3 , 0 x (b)   2 2 2 y Y e y f , 0 y (c) 2 log 2 2 1 w W e w w f , 0 w (d) 1 9.   2 2 2 y Y e y f , 0 y 10. (a) undefined 11.   y Y e y f 2 1 , y 12. (a) 8 1 (b)   x e x f x X 1 4 1 , x ;   y Y e y y f 3 6 1 , y 0 (c) 0 13. (a) 0.15, 0.2 (b)   1 35 . 0 0 65 . 0 x x x p X ,   2 35 . 0 1 35 . 0 0 3 . 0 y y y y p Y
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