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Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Test  >  Communication System  >  Test: Special Classes of Random Processes - Electronics and Communication Engineering (ECE) MCQ

Special Classes of Random Processes - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Special Classes of Random Processes (8 Questions)

You can prepare effectively for Electronics and Communication Engineering (ECE) Communication System with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Special Classes of Random Processes". These 8 questions have been designed by the experts with the latest curriculum of Electronics and Communication Engineering (ECE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 8

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Test: Special Classes of Random Processes - Question 1
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Let U and V be two independent zero mean Gaussian random variables of variances 1/4 and 1/9 respectively. The probability P(3V ≥ 2U) is 

Detailed Solution: Question 1

U and V are two independent zero mean and Gaussian.

let z = 3V - 2U

U and V are Gaussian then their linear transformation Z is also Gaussian

than E[z] = E[3V - 2U]=3E[V] - 2E[U]=0

if z is gaussian and zero mean then its probability for greater than zero is 0.5

Option C is the correct answer. 

Test: Special Classes of Random Processes - Question 2
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A device has 200 Ω equivalent noise resistance, 300 Ω input resistor, and the bandwidth of the amplifier is 6 MHz. If the operating temperature of the amplifier is 290° K, the noise voltage at the input of a television RF amplifier will be nearly

Detailed Solution: Question 2

Concept:

The noise voltage at the input of the RF amplifier is given by:

Where,

Equivalent resistance (Req) = RNoise + Rin

Boltzmann constant (k) = 1.38 × 10-23

T: Operating temperature.

B: Bandwidth of amplifier.

Calculation:

Given Equivalent resistance (Req) = 200 + 300 = 500 Ω

B = 6 MHz and T = 290 0K

Putting on the respective values, we get:

V = 6.92 μV

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Test: Special Classes of Random Processes - Question 3
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Which method is much better and efficient?

Detailed Solution: Question 3

Vector quantization will always equal or exceed the performance of scalar quantization.

Test: Special Classes of Random Processes - Question 4
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Which reduces the dynamic range of quantization noise in PCM?

Detailed Solution: Question 4

Adaptive quantizer reduces the dynamic range of quantization noise in PCM and DPCM.

Test: Special Classes of Random Processes - Question 5
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Gaussian process is a

Detailed Solution: Question 5

If Gaussian process is a wide sense stationary process then it will also be strict sense stationary process.

Test: Special Classes of Random Processes - Question 6
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Air craft of Jet Airways at Ahmedabad airport arrive according to a Poisson process at a rate of 12 per hour. All aircraft are handled by one air traffic controller. If the controller takes a 2 – minute coffee break, what is the probability that he will miss one or more arriving aircraft?

Detailed Solution: Question 6

P (miss/or more aircraft) = 1 – P(miss 0) = 1 – P(0 arrive).

Test: Special Classes of Random Processes - Question 7
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A random process is defined by X(t) + A where A is continuous random variable uniformly distributed on (0,1). The auto correlation function and mean of the process is

Detailed Solution: Question 7

E[X(t)X(t + t)] = 1/3 and E[X(t)] = 1/2 respectively.

Test: Special Classes of Random Processes - Question 8
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The auto correlation function of a stationary ergodic random process is shown below.

What is the value of variance?

Detailed Solution: Question 8

Here X = 0, y = 0, Rxx(0) = 5, Ryy(0) = 10. The only value that satisfies all the given conditions is 30.

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About this Electronics and Communication Engineering (ECE) Practice Test

This test contains 8 MCQs on Special Classes of Random Processes with detailed solutions for each question. It is part of the Communication System course on EduRev, designed to align with the current Electronics and Communication Engineering (ECE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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