Applied maths for electronics engineers jan-2013- 1

1. Reg. No. : l?-ll 11.-1) I, h.,141 1 ~toIf IDl
Question Paper Code: 68186 I
M.E. DEGREE EXAMINATION, JANUARY 2013.
First Semester
Applied Electronics
MA 9217fMA 90S/UMA 9125 - APPLIED MATHEMATICS FOR ELECTRONICS
ENGINEERS
(Common to M.E. VLSI Design, M.E. VLSI ~esign ~nd Em?edd~d Systems,
M.E. Medical Electrorucs and M.E. Biomedical Engineering)
(Regulation 2009)
Time: Three hours Maximum: 100 marks
Answer ALL questions.
PART A - (10 x 2 = 20 marks)
1. State any two properties of classical logic.
2. Name some applications of fuzzy logic.
3. State Cholesky's algorithm used in decomposing a square matrix of order n,
4. Define Toeplitz matrix with an example.
5. A CRY X that can assume any value between x = 2 and x = 5 has a density
function given by I(x) = k(l +x). Find P(X < 4).
6. State and prove the memoryless property of Exponential distribution.
7, If a customer has to wai~in a (M / M / 1) : (<X) / FIFO) que~e system, what is his
average waiting time in the queue, if A =8 per hour and fJ = 12 per hour?
8. Define effective arrival rate with respect to an (M I MIs) : (K I FIFO) queuing
model.
9. State Bellman's principle of optimality.
10. State the applications of dynamic programming.