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Consider the random process X (t) = U+ Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________
    Correct answer is '2'. Can you explain this answer?
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    Calculation of Mean Value at t = 2

    The random process X(t) can be expressed as X(t) = U - Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2.

    Given Information:
    - U is a zero-mean Gaussian random variable.
    - V is uniformly distributed between 0 and 2.
    - U and V are statistically independent.
    - We need to find the mean value of the random process at t = 2.

    Mean Value Calculation:
    - The mean value of X(t) at any time t can be calculated as E[X(t)] = E[U - Vt] = E[U] - t*E[V].
    - Since U is a zero-mean Gaussian random variable, E[U] = 0.
    - E[V] is the mean of the uniform distribution between 0 and 2, which is (0+2)/2 = 1.

    Substitute values:
    - E[X(2)] = 0 - 2*1 = -2.

    Therefore, the mean value of the random process at t = 2 is -2.
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    Consider the random process X (t) = U+ Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________Correct answer is '2'. Can you explain this answer?
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    Consider the random process X (t) = U+ Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________Correct answer is '2'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Consider the random process X (t) = U+ Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________Correct answer is '2'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the random process X (t) = U+ Vt, where U is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is ____________Correct answer is '2'. Can you explain this answer?.
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