1 Test #1 Practice Questions 1. (a) 9.1=x (b) 5.1~=x (c) R = 5 2. (a) 2=x (b) s = 5 (c) C.V. = 2.5 3. Q1=35, Q2=42, Q3=48, smallest value=20, largest value=64, outlier =10 The distribution is symmetric. 4. (a) 114 (b) 103 (c) ⎟⎟⎠⎞⎜⎜⎝⎛24, ⎟⎟⎠⎞⎜⎜⎝⎛⋅⎟⎟⎠⎞⎜⎜⎝⎛⋅⎟⎟⎠⎞⎜⎜⎝⎛141124 (d) ⎟⎟⎠⎞⎜⎜⎝⎛411 (e) ⎟⎟⎠⎞⎜⎜⎝⎛⎟⎟⎠⎞⎜⎜⎝⎛⋅⎟⎟⎠⎞⎜⎜⎝⎛⋅⎟⎟⎠⎞⎜⎜⎝⎛411141124 5. (a) 0.45 (b) 0.15 (c) 0.5625 6. (a) 0.34 (b) 0.15 7. (a) 61 (b) 60492 (c) 85 (d) Not independent. 8. (a) 5.0)5( =Xf, 3.0)10( =Xf, 2.0)15(=Xf 6.0)1( =Yf, 4.0)2( =Yf (b) E(X) = 8.5 V(X) = 15.25 (c) Independent. 9. (a) E(X) = 3.4 (b) V(X) =19.64 (c) E[g(X,Y)]= − 6.7 (d) V[g(X,Y)]= 10.61 (e) Lower bound = 0.75 10. (a) 45.0)2( =Yf, 55.0)4( =Yf (b) 113 (c) 0.35 (d) −0.29 11. (a) 216121)(xxxFX−= (b) 165 (c) (i) V(X) = 98 (ii) 163 12. (a) )6(92)(yyfY−=, 21 << y = 0 otherwise (b) Not
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