Q. The given figure shows a discrete time system consisting of a unit delay system, a multiplier and a summer, such that y(k) = x(k - 1) + 0.5 x(k). This system

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Q. The joint probability function of two discrete random variable X and Y is given below.
Then E(y) is

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Q. The joint probability function of two discrete random variable X and Y is given below.
Variance σ² will be

[Hint: σ² = E(X²) - μ² ⇒ E(X²) - (E(X))²]

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Q. A probability density function is given by p(x) = Ke^(-x²/2) for -∞ < x < ∞ , The value of K should be

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Q. The Laplace transform of f(t) is

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Q. In the given figure 15.6 shows a series, R - C circuit fed by a current source i(t). There is an initial voltage v₀ across the capacitor. The system

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Q. If Laplace transform of f(t) is F(s), then

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Q. Which of the following is the correct Laplace transform of the signal shown in the given figure

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Q. If v(t) is a time varying voltage, then following is

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Q. The data of speed of train V and resistance to motion R is given below. The law R = a + bV² is of the form

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Q. If H(z) is given by following equation, then system is

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Q. If F(s) = 10 / s²+4s+4, f(t) =

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Q. Consider z transform of a signal as given below, then the response will be

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Q. The eigen values of the following matrix are

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Q. The initial value theorem is

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Q. Consider following two statements:

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Q. The exponential form of Fourier series is

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Q. The unit step response of a system starting from rest is given by c(t) = 1 - e^(-2t) for t ≥ 0. The transfer function of the system is

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Q. Check the following system for causality

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Q. Paley Wiener criterion for designing of filter is

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