HW 1_20090922

# HW 1_20090922 - Home assignment 01 Name 1 E(X = 3 V ar(X =...

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Home assignment 01 Name: 1. E ( X ) = 3 , V ar ( X ) = 1 ; E ( Y ) = 5 ; V ar ( Y ) = 4 ; Cov ( X;Y ) = 0 : 7 : Compute the followings. (a) Corr ( X;Y ) (b) Cov (3 X + 2 Y;Y ) 2. A study was recently done that emphasized the problem we all face with drinking and driving. Twenty accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below: Case ID 1 2 3 4 5 6 7 8 9 10 Alcohol played a role? Y Y Y N N Y N Y N Y # of cars 1 1 2 1 2 2 1 1 3 2 Case ID 11 12 13 14 15 16 17 18 19 20 Alcohol played a role? N N Y N Y Y Y N Y Y # of cars 2 2 2 2 1 2 3 1 3 2 Let D = 1 if alcohol played a role in the event; 0 otherwise and X be the number of cars involved. X = 1 X = 2 X = 3 D = 1 D = 0 Which of the following does the table show? (1) f XD ( x;d ) (1) f X j D ( x j d ) (3) f D j X ( d;x ) (b) Compute

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HW 1_20090922 - Home assignment 01 Name 1 E(X = 3 V ar(X =...

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