EE 102 Exam 1 Solution Spring 2006

EE 102 Exam 1 Solution Spring 2006 - San Jose State...

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San Jose State University Department of Electrical Engineering Exam 1 EE 102, Section Fall 2006 Closed Book, Closed Notes, Instructions: There are three problems. Interpretation of questions will not be given during the exam. If you are unsure about the meaning of a question, make an assumption, state what it is and continue. Problem Score Possible 1 40 2 30 3 30 Total 100 They are weighted as shown. Enter your name and Social Security number at the bottom of this page and work all three problems. Last Name: First Name: SSN:
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Problem 1: (40 points) Consider an urn with 20 red, 15 black and 5 green balls. A sample of 5 is drawn without replacement. Find a) Probability [“exactly 2 Black balls”] (10 points) [] 15 14 25 24 23 5! 2898000 10 exactry 2 black balls 0.367 40 39 38 37 36 3!2! 78960960 P × =⋅⋅⋅⋅⋅ = = 15 25 15! 25! 23 241500 13!2! 22!3! exactry 2 black balls 0.367 40! 40 658008 35!5! 5 P ⎛⎞ ⎜⎟ × ⎝⎠ == = = 15 20 5 15 20 5 15 20 15 5 212 22 1 2 3 exactry 2 black balls 0.367 40 5 P ⎞⎛⎞ ⎛⎞⎛⎞ ++ + ⎟⎜⎟ ⎜⎟⎜⎟ ⎠⎝⎠
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EE 102 Exam 1 Solution Spring 2006 - San Jose State...

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