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The random process Z(t) is defined as Z(t) = X +Y; where X and Y are independent random variables. X is uniformly distributed on (-1, 1) and Y is uniformly distributed on (0, 1)
The auto correlation function of Z(t) is Rz (0) is
  • a)
    2/3
  • b)
    4/3
  • c)
    1/2
  • d)
    1/4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The random process Z(t) is defined as Z(t) = X +Y; where X and Y are i...
∵ X and Y are independent
Rz(0) = E[X2] + E[Y2]
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The random process Z(t) is defined as Z(t) = X +Y; where X and Y are independent random variables. X is uniformly distributed on (-1, 1) and Y is uniformly distributed on (0, 1)The auto correlation function of Z(t) is Rz (0) isa)2/3b)4/3c)1/2d)1/4Correct answer is option 'A'. Can you explain this answer?
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The random process Z(t) is defined as Z(t) = X +Y; where X and Y are independent random variables. X is uniformly distributed on (-1, 1) and Y is uniformly distributed on (0, 1)The auto correlation function of Z(t) is Rz (0) isa)2/3b)4/3c)1/2d)1/4Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The random process Z(t) is defined as Z(t) = X +Y; where X and Y are independent random variables. X is uniformly distributed on (-1, 1) and Y is uniformly distributed on (0, 1)The auto correlation function of Z(t) is Rz (0) isa)2/3b)4/3c)1/2d)1/4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The random process Z(t) is defined as Z(t) = X +Y; where X and Y are independent random variables. X is uniformly distributed on (-1, 1) and Y is uniformly distributed on (0, 1)The auto correlation function of Z(t) is Rz (0) isa)2/3b)4/3c)1/2d)1/4Correct answer is option 'A'. Can you explain this answer?.
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