Jawaharlal Nehru Technological University Kakinada 2008 B.Tech Electronics and Communications Engineering PROBABILITY THEORY AND STOCHASTIC PROCESSES - Question Paper

6. explain in detail about:
(a) 1st order stationary random process
(b) 2nd order & Wide - Sense Stationary Random Process. [8+8]
7. (a) A WSS random process X(t) has RXX (t ) = A0
h
1 - |t|
t
i
- t = t = t
= 0 else where
obtain power density spectrum.
(b) RXX (t ) = A2
0
2 sin ?0t. obtain Sxx (?) [8+8]
8. (a) elaborate the precautions to be taken in cascading stages of a network from
the point of view of noise reduction?
(b) What is the need for band limiting the signal towards the direction of increas-
ing SVR? [8+8]
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2 of 2Code No: 07A3EC10 Set No. 2
II B.Tech I Semester Regular Examinations, November 2008
PROBABILITY THEORY AND STOCHASTIC PROCESSES
( Common to Electronics & Communication Engineering, Electronics &
Telematics and Electronics & Computer Engineering)
Time: three hours Max Marks: 80
ans any 5 ques.
All ques. carry equal marks
? ? ? ? ?
1. (a) Is probability relative frequency of occurrence of a few event? discuss with
an example.
(b) 1 card is drawn from a regular deck of 52 cards. What is the probability of
the card being either red or a king? [8+8]
2. (a) De?ne Random variable and provide the concept of random variable.
(b) In an experiment of rolling a die and ?ipping a coin. The random variable(X)
is chosen such that:
i. A coin head (H) result corresponds to positive values of X that are
equal to the numbers that show upon the die and
ii. A coin tail (T) result corresponds to negative values of X that are equal
in magnitude to twice the number that indicates on die. Map the elements
of random variable X into points on the real line and discuss.
(c) In experiment where the pointer on a wheel of chance is spun. The possible
results are the numbers from 0 to 12 marked on the wheel. The sample
space consists of the numbers in the set {0 < S < = 12} and if the random
variable X is de?ned as X = X(S) = S2
, map the elements of random variable
on the real line and discuss. [4+6+6]
3. (a) In an experiment when 2 dice are thrown simultaneously, ?nd expected
value of the sum of number of points on them.
(b) The exponential density function provided by
fx(x) = (1/b)e
-(x-a)/b

Earning:   Approval pending.