mid06sol - Solution Mid06 1 2(a The uncertainty before an...

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Solution Mid06 1. 2.(a) The uncertainty before an experiment causes the variation of outcomes after the experiment. Probability measures the uncertainty before the experiments and thus it can explain the variation after the experiment. (b) P(higher for the year | higher first week)= 29/34=0.853. (c) P(Higher for the year)= 39/54=0.722 not equal 0.853, therefore dependent. (d) H L FH 28 2 P(H | FH)= 28/30 = 0.933 FL 11 13 3. (a) P(X>1.6) = P(Z> (1.6 – 1.2)/0.3)=P(Z>1.33)=0.0918 (b) ) 3 . 0 ( 67 . 0 2 . 1 ± =(1.0, 1.4) (c) m+0.44sd=1.8 m-0.44sd=1.2 m=1.5, sd=0.68. (d) 3 Q = 2.3, 1 Q = 2.3 – 2*(2.3 – 1.6) = 0.9, inter-quartile range = 2.3 – 0.9 = 1.4 4. (a) 097 . 0 ) 7 . 0 ( ) 3 . 0 ( 4 7 3 4 = (b) 2557 . 0 ) 3 . 0 ( 6 6 7 . 0 ) 3 . 0 ( 5 6 ) 7 . 0 ( ) 3 . 0 ( 4 6 ) 7 . 0 ( ) 3 . 0 ( 3 6 6 5 2 4 3 3 = + + + 5.(a) Let X be the performance rating and Y be your fee, then X Y = 120000 9 . 2 1 . 0 5 2 . 0 4 3 . 0 3 3 . 0 2 1 . 0 1 ) ( =
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