1
GATE EE 2022
Numerical
+2
-0
Let the probability density function of a random variable x be given as
f(x) = ae$$-$$2|x|
The value of a is _________.
Your input ____
2
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $$3$$ tosses. Let the random variable $$Y$$ denotes the number of heads. The value of var $$\left\{ Y \right\},$$ where var $$\left\{ . \right\}$$ denotes the variance, equal
3
GATE EE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Let the probability density function of a random variable $$X,$$ be given as:
$$${f_x}\left( x \right) = {3 \over 2}{e^{ - 3x}}u\left( x \right) + a{e^{4x}}u\left( { - x} \right)$$$
where $$u(x)$$ is the unit step function. Then the value of $$'a'$$ and Prob $$\left\{ {X \le 0} \right\},$$ respectively, are
where $$u(x)$$ is the unit step function. Then the value of $$'a'$$ and Prob $$\left\{ {X \le 0} \right\},$$ respectively, are
4
GATE EE 2016 Set 1
Numerical
+2
-0
Candidates were asked to come to an interview with $$3$$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $$3$$ pens having the same colour is _______.
Your input ____
Questions Asked from Probability and Statistics (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits