2500_Exam1_F2010 - Name: _ RIN#: _ Exam 1 Engineering...

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Name: _______________________________ RIN#: _______________________________ Exam 1 Engineering Probability ECSE-2500 October 1, 2010 Points Score Grader 1 40 2 20 3 10 4 10 5 20 Total 100 Notes : Show all work. You have 75 minutes to take this exam. You are allowed one 8.5 x 11 inch piece of paper with nothing written on one side. You may use a calculator, but no programmable features. No communication devices of any kind. All cell phones off. This exam has 7 pages including this cover page.
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2 1. (40 points) Let   1,2,3,4,5,6 S and let P be a probability law on S with   Pk   defined by k   1 0.2 2 0.2 3 0.2 4 0.1 5 0.1 6 0.2 1.a. (10 points) Let   is even . B k S k  Compute   . PB Show your work in detail.
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3 1.b. (20 points) Fill in the tables below with the correct conditional probabilities. Show your work. k     P k B 1 2 3 4 5 6 1.c. (10 points) Which, if any, of the i A above are independent of B ? Clearly justify your answers. i A i P A B   1 1,2,3 A   2 3,4,5,6 A   3 1,2 A   4 3,4 A   5 1,3,5 A
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4 2.
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This note was uploaded on 11/29/2011 for the course ECSE 2500 taught by Professor Radke during the Spring '11 term at Rensselaer Polytechnic Institute.

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2500_Exam1_F2010 - Name: _ RIN#: _ Exam 1 Engineering...

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