1
GATE ECE 2016 Set 1
Numerical
+1
-0
The second moment of a Poisson-distributed random variables is $$2.$$ The mean of the random variable is _______.
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2
GATE ECE 2016 Set 1
Numerical
+2
-0
Two random variables $$X$$ and $$Y$$ are distributed according to $$${f_{X,Y}}\left( {x,y} \right) = \left\{ {\matrix{ {\left( {x + y} \right),} & {0 \le x \le 1,} & {0 \le y \le 1} \cr {0,} & {otherwise} & \, \cr } } \right.$$$

The probability $$P\left( {X + Y \le 1} \right)$$ is ________.

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3
GATE ECE 2016 Set 1
Numerical
+2
-0
In the following integral, the contour $$C$$ encloses the points $${2\pi j}$$ and $$-{2\pi j}$$. The value of the integral $$ - {1 \over {2\pi }}\oint\limits_c {{{\sin z} \over {{{\left( {z - 2\pi j} \right)}^3}}}} dz$$ is ___________.
Your input ____
4
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
In an 8085 system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this?
A
For POP, the data transceivers remain in the same direction as for instruction fetch (memory to processor), whereas for PUSH their direction has to be reversed.
B
Memory write operations are slower than memory read operations in an 8085 based system.
C
The stack pointer needs to be pre-decremented before writing registers in a PUSH, whereas a POP operation uses the address already in the stack pointer.
D
Order of registers has to be interchanged for a PUSH operation, whereas POP uses their natural order.
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