Continous Time Signals MCQ

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• A joint sample space for two random variable X and Y has four elements (1,1), (2,2), (3,3) and (4,4). Probabilities of these elements are 0.1, 0.35, 0.05 and 0.5 respectively. What is the probability of the event that X is less than three?
  ক

  0.45

  খ

  0.50

  গ

  0.55

  ঘ

  0.60
• The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x). What is the variance of the random variable x is?
  ক

  1/10

  খ

  3/80

  গ

  5/16

  ঘ

  3/16
• The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x). What is the mean of the random variable x is?
  ক

  1/4

  খ

  1/6

  গ

  1/3

  ঘ

  1/5
• The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x). What is the expect value of g(x) = X3?
  ক

  48

  খ

  192

  গ

  36

  ঘ

  72
• How many weeds per year (average) can the Delhi expect the number of murders per week to equal or exceed the average number per week?
  ক

  15

  খ

  20

  গ

  25

  ঘ

  30
• Delhi averages three murder per week and their occurrences follow a Poisson distribution. On average, how many weeks a year can Delhi expect to have no murders?
  ক

  1.4

  খ

  1.9

  গ

  2.6

  ঘ

  3.4
• Delhi averages three murder per week and their occurrences follow a Poisson distribution. The probability that there will be five or more murders in a given week is?
  ক

  0.1847

  খ

  0.2461

  গ

  0.3927

  ঘ

  0.4167
• The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b=2. What is the probability that no car will arrive is?
  ক

  0.516

  খ

  0.459

  গ

  0.246

  ঘ

  0.135
• The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b=2. What is the probability that more than 3 cars will arrive during any 10 min period?
  ক

  0.249

  খ

  0.143

  গ

  0.346

  ঘ

  0.543