Pondicherry University 2006 B.E Computer Science Probability and Queuing Theory - Question Paper

Note : If necessary use statistical table.

ans any 5 ques. by choosing 1 full from every unit.

All ques. 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 obtained 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 find 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, obtain a lower bound for the probability of getting 100 to 140 sixes. (7 Marks)

Attachment: pondicherry-university-2006-b-e-computer-science-4019-1.jpg pondicherry-university-2006-b-e-computer-science-4019-2.jpg

Earning:   Approval pending.