GATE ECE 2001 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

The PDF of a Gaussian random variable X is given by $${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}/18]$$.

The probability of the event {X = 4} is

1/2

$$1/\left( {3\sqrt {2\,\pi } } \right)$$

1/4

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

an RC filter

an envelope detector

a PLL

an ideal low-pass filter with the appropriate bandwidth

GATE ECE 2001

MCQ (Single Correct Answer)

-0.6

During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n bits is transmitted, the probability of at most one bit error is equal to

$$1 - {\left( {1 - p} \right)^n}$$

$$p + \left( {n - 1} \right)\left( {1 - p} \right)$$

$$np - {\left( {1 - p} \right)^{n - 1}}$$

$${\left( {1 - p} \right)^n} + np{\left( {1 - p} \right)^{n - 1}}$$

GATE ECE 2001

MCQ (Single Correct Answer)

-0.6

A video transmission system transmits 625 picture frames per second. Each frame consists of a $$400\,\, \times \,\,400$$ pixel grid with 64 intensity levels per pixel. The data rate of the system is

16 Mbps

100 Mbps

600 Mbps

6.4 Gbps

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