1
GATE ECE 2013
+2
-0.6
Let $$U$$ and $$V$$ be two independent zero mean Gaussian random variables of variances $${1 \over 4}$$ and $${1 \over 9}$$ respectively. The probability $$\,P\left( {3V \ge 2U} \right)\,\,$$ is
A
$$4/9$$
B
$$1/2$$
C
$$2/3$$
D
$$5/9$$
2
GATE ECE 2013
+2
-0.6
Consider two identically distributed zero - mean random variables $$U$$ and $$V.$$ Let the cumulative distribution functions of $$U$$ and $$2V$$ be $$F(x)$$ and $$G(x)$$ respectively. Then for all values of $$x$$
A
$$F\left( x \right) - G\left( x \right) \le 0$$
B
$$F\left( x \right) - G\left( x \right) \ge 0$$
C
$$\left( {F\left( x \right) - G\left( x \right)} \right).x \le 0$$
D
$$\left( {F\left( x \right) - G\left( x \right)} \right).x \ge 0$$
3
GATE ECE 2012
+2
-0.6
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is
A
$$1/3$$
B
$$1/2$$
C
$$2/3$$
D
$$3/4$$
4
GATE ECE 2010
+2
-0.6
A fair coin is tossed independently four times. The probability of the event ''The number of times heads show up is more than the number of times tails show up'' is
A
$$1/16$$
B
$$1/8$$
C
$$1/4$$
D
$$5/16$$
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
EXAM MAP
Joint Entrance Examination