SRM University 2007 B.Tech Electronics and Communications Engineering Bank of EC306-Information Theory - Question Paper

EC306-Information Theory

ques. Bank
info Theory

UNIT-1
REVIEW OF PROBABILITY THEORY

PART-A
1. describe probability.
2. elaborate mutually exclusive events? provide an example.
3. elaborate equally likely events? provide an example.
4. describe sample space.
5. provide the 3 axioms of probability.
6. What is conditional probability?
7. What is A Priori and A posteriori probability in communication?
8. provide the Bayes theorem of Conditional probability.
9. 3 identical coins are tossed. obtain the probability that at lowest 1 of them indicates
head.
10. describe random variable.
11. Write down the properties of CDF.
12. Write down the properties of PDF.
13. elaborate Statistical averages?
14. describe expectation of a continuous random variable.
15. describe variance.
16. describe Co-variance.
17. describe random process.
18. What is ensemble average?
19. Distinguish ranging from random variable and random process.
20. provide a few examples for random process.
21. describe time avg..
22. describe Ergodic process.
23. describe Markov process.

24. In a fair die experiment, it is provided that even number has turned. What is the
Probability of getting ‘4’ in that experiment?
25. describe stationary process


PART-B


1. discuss the subsequent terms with examples. a) Experiment b) Trail c) Event d)
Mutually exclusive events e) Equally likely events f) Sample space.

2 .a) A battery is connected to a load trough relay switches as shown in the figure. every
of which may fail with a probability of q, (p=1-q). obtain the probability that the
current flows in the load.


b) The probability of closing every relay of the circuit is provided to be 0.1. Assuming that all
the relays act independently, what is the probability that the current flows ranging from the
terminals A and B.

3. a) In a telegraph office 160 Morse codes were transmitted. When it is received at the
receiver, it is obtained that 40 codes were erroneous. Randomly 1 code was picked
up and obtained to be erroneous and therefore that code was eliminated from the data
stream. What is the probability that a 2nd code chosen at random is also
erroneous?

b) A and B take parts in throwing 2 dice. The 1st person to throw ‘10’ being
awarded the prize. If B has the 1st throw, what is the probability of his winning?

Earning:   Approval pending.