Random Process MCQ

Test your knowledge with important Random Process MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Random Process MCQs at Bissoy

• The auto correlation function of a stationary ergodic random process is shown below. What is the value of variance?
  ক

  20

  খ

  50

  গ

  70

  ঘ

  30
• The auto correlation function of a stationary ergodic random process is shown below. What is E?
  ক

  ? ] 10

  খ

  X2(t)

  গ

  X2(t)

  ঘ

  X2(t)
• The auto correlation function of a stationary ergodic random process is shown below. What is the mean value E?
  ক

  ? ] 50

  খ

  X(t)

  গ

  X(t)

  ঘ

  X(t)
• 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
  ক

  1/2 & 1/3

  খ

  1/3 & 1/2

  গ

  1 & 1/2

  ঘ

  1/2 & 1
• A stationary random process X(t) is applied to the input of a system for which h(t) = u(t) t2 e(-8t). If E = 2, the mean value of the system’s response Y(t) is
  ক

  = 2, the mean value of the system’s response Y(t) is ] 1/128

  খ

  X(t)

  গ

  X(t)

  ঘ

  X(t)
• 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?
  ক

  0.33

  খ

  0.44

  গ

  0.55

  ঘ

  0.66
• The two-level semi-random binary process is defined by X(t) A or -A where (n 1)T < t < nt and the levels A and -A occur with equal probability. T is a positive constant and n = 0, ±1, ±2. Then the autocorrelation Rxx(t1 = 0.5T, t2 = 0.7T) will be?
  ক

  1

  খ

  0

  গ

  A x A

  ঘ

  0.5 (A x A)
• The two-level semi-random binary process is defined by X(t) A or -A where (n 1)T < t < nt and the levels A and -A occur with equal probability. T is a positive constant and n = 0, ±1, ±2. What is the mean value of E?
  ক

  ? ] 1/2

  খ

  X(t)

  গ

  X(t)

  ঘ

  X(t)
• White noise with power density No/2 = 6 microW/Hz is applied to an ideal filter of gain 1 and bandwidth W rad/s. If the output’s average noise power is 15 watts, the bandwidth W is
  ক

  2.5 x 10 (-6)

  খ

  2.5p x 10 (-6)

  গ

  5 x 10 (-6)

  ঘ

  p5 x 10 (-6)
• For random process X = 6 and Rxx (t, t+t) = 36 + 25 exp(|t|). Consider following statements: (i) X(t) is first order stationary. (ii) X(t) has total average power of 36 W. (iii) X(t) is a wide sense stationary. (iv) X(t) has a periodic component. Which of the following is true?
  ক

  i, ii, and iv

  খ

  ii, iii, and iv

  গ

  ii and iii

  ঘ

  only iii