# 2006 Pondicherry University B.E Computer Science Probability and Queuing Theory Question paper

** University Question Papers **

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**2006 Pondicherry University B.E Computer Science Probability and Queuing Theory Question paper

Note : If necessary use statistical table.

Answer any FIVE questions by choosing ONE full from each unit.

All questions carry equal marks.

UNIT I

1. (a) In a bolt factory, machines A, B and C produce 25%, 35% and 40% of the total output respectively, of their outputs 5%, 4% and 2% are respectively defective bolts.

(i) If a bolt is chosen at random from the combined output, what is the probability that is defective?

(ii) If a randomly chosen bolt is found to be defective, what is the probability that it was produced by the machine B? (8 Marks)

(b) If a random variable X has the MGF, M(t)=3/3-t obtain the standard deviation of X. (7 Marks)

Or

2. (a) Derive the MGF of Poisson Distribution. (8 Marks)

(b) A fair die is tossed 720 times using Chebyshe's in equality, find a lower bound for the probability of getting 100 to 140 sixes. (7 Marks)