Download PTU B.Tech 2021 Jan ECE 5th Sem 78708 Random Variables And Stochastic Processes Question Paper

Download PTU (Punjab Technical University) B.Tech (Bachelor of Technology) / BE (Bachelor of Engineering) 2021 January ECE 5th Sem 78708 Random Variables And Stochastic Processes Previous Question Paper

Roll No.
Total No. of Pages : 02
Total No. of Questions : 18
B.Tech. (ECE)(Sem.?5 )
RANDOM VARIABLES AND STOCHASTIC PROCESSES
Subject Code : BTEC-905B-18
M.Code : 78708
Time : 3 Hrs. Max. Marks : 60
INST RUCT IONS T O CANDIDAT ES :
1 .
SECT ION-A is COMPULSORY cons is ting of TEN questions carrying TWO marks
each.
2 .
SECT ION-B c ontains F IVE questions c arrying FIVE marks eac h and s tud ents
have to atte mpt any FOUR q ues tions.
3 .
SECT ION-C contains THREE questions carrying T EN marks e ach and s tudents
have to atte mpt any T WO questio ns.
SECTION-A
Write briefly:
1)
Define probability Distribution function
2)
What are the conditions for a function to be a random variable?
3)
State the importance of central limit theorem.
4)
List various levels of stationary random process.
5)
Derive expression for mean for uniform random variable.
6)
Explain ergodic random process in short.
7)
a) Write a short note on ergodicity.
b) Write a short note on sampling models
8)
Define covariance with example.
9)
Differentiate between Random Processes and Random variables with an example.
10) Write a short note on sets operation.
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SECTION-B
11) Explain about conditional probability and its properties.
12) Define power density spectrum and write down its properties.
13) What is random process? Explain Gaussian random process.
14) Explain the moments of the random variable in detail.
15) Calculate the variance of g(x) = 2x+3 where x is a random variable with probability
distribution as :
x
0
1
2
3
1
1
1
1
f(x)
4
8
2
8
SECTION-C
16) Discuss random sequences and modes of convergence in detail.
17) State and prove Chebyshev inequality.
18) Describe in detail strong and weak laws of large numbers.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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