5531F2009hmk1

# 5531F2009hmk1 - EE 5531 F2009 Homework Set 1 due by 4:30pm...

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EE 5531 F2009 Homework Set 1 — due by 4:30pm Wed Sept. 16 Directions: Work as many of the following problems as you can. They are intended as a review of EE 3025. If you get stuck, go to Study Materials Web Page and study the solutions to EE 5531 F2008 Homework 1, which is similar. You can also review topics in the posted EE 3025 Notes as needed. Please go to the Homework Web Page to see the proper format for submitting your homework solutions; please note that you must do your own work—collaboration between students is not permitted. Problem 1 An insurance company unoﬃcially believes that 30% of drivers are careless and the prob- ability that a driver will have an accident in any one year is 0 . 4 for a careless driver and 0 . 2 for a careful driver. Find the prob that a driver will have an accident next year given that she has had an accident this year. Problem 2 (For this problem, in addition to EE 5531 F2008 Hmk 1 Sol, you might want to look at EE 3025 Matlab Demo 5.) Random pair ( X, Y ) is bivariate Gaussian with PDF f ( x, y ) = C exp[

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