midterm09 - EE 278 Statistical Signal Processing Handout...

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EE 278 Handout #10 Statistical Signal Processing Wednesday, July 22, 2009 Midterm This is a 1 hour and 45 minute exam. The exam is open everything except for laptop and internet connection. The total number of points is 80. Please begin each problem solution on a new page. In solving the problems you can use any results from the lecture notes or homeworks without providing derivations. 1. (25 points) Inequalities Label each of the following statements with =, , or NONE. Label a statement with = if equality always holds. Label a statement with or if strict inequality is possible. If no such equality or inequality holds in general, label the statement as NONE. Justify your answers. You may receive partial credit if your justification is not correct. (a) (4 points) P ( A ) vs. min { P ( A | B ) ,P ( A | B c ) } . (b) (3 points) F XY ( x,y ) vs. F X ( x ). (c) (3 points) E ± X 2 1 X 2 1 + X 2 2 ² vs. 1
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midterm09 - EE 278 Statistical Signal Processing Handout...

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