Q. If the number of ways an event may result ins analysed into m successes and n failures, each equally likely to occur, the probability of success in a single trial is m( m + n)

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Q. If X(z) = (1 - a)z¯¹/[(1 - z¯¹)(1 - az¯¹)] and 1 < |z|, the final value of xk is

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Q. Final value theorem is used to find

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Q. Which one of following is correct condition to check the stability of sysytem in terms of impulse response?

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Q. If a function f(t) is an odd, function, its Fourier series

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Q. The total area under the probability distribution curve is

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Q. Which one of following is correct condition to check the stability of system?

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Q. The inverse Fourier transform of the function F(ω) = 2/jω is

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Q. Let f1(t) = G1(t) + 4, f2(t) = G2(t) + 3. If G1(t) and G2(t) are uncorrected then the correlation between f1(t) and f2(t) are

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Q. The function δ'(t - b) is a unit doublet.

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Q. The value of P(2 < x < 3) in function f(x) = K(x - 1) for K = 1 < x < 4 is

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Q. If f(t) = sgn(t), F(jω)

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Q. If xk = 0 for k < 0 and = 2^k for k ≥ 0 X(z) = z/(z -2).

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Q. Assertion (A): If an event A can happen in m ways and another event B can happen in n ways, both can happen in mn ways.

Reason (R): Two events are mutually exclusive if happening of either precludes the occurrence of other.

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Q. A dice is tossed. The probability that either 1 or 2 will appear is

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Q. The signal m(t) = 10 cos 100 πt is sampled at the rate of Fs = 75 Hz, then determine signal after sampling.

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Q. The tree selected for the formation of state equations contains

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Q. Consider the following statements

1. If ensemble and time averages of a random process are identical, the process is ergodic.
2. If ensemble and time average of a random process are not identical, the process is ergodic.
3. An ergodic process is stationary.
4. A stationary process is necessarily ergodic.

Which of the above statements are correct?

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Q. (sI - A)¯¹ is equal to

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Q. For a Gaussian process, auto-correlation sequence also implies that

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