1
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33
Two continuous random variables X and Y are related as Y = 2X + 3. Let $$\sigma _x^2$$ and $$\sigma _y^2$$ denote the variances of X and Y, respectively. The variances are related as
2
GATE ECE 2020
Numerical
+1
-0
The two sides of a fair coin are labelled as 0 and 1 . The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of those tosses. For a random variable $X$, defined as $X=\min (M, N)$, the expected value $E[X]$ (rounded off to two decimal places) is $\_\_\_\_$ .
Your input ____
3
GATE ECE 2018
Numerical
+1
-0
Let
X1
, X2
, X3
and
X4
be independent normal random variables with zero mean and unit
variance. The probability that
X4
is the smallest among the four is _______.
Your input ____
4
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
$$500$$ students are taking one or more courses out of chemistry, physics and Mathematics. Registration records indicate course enrolment as follows: chemistry $$(329)$$, physics $$(186)$$, Mathematics $$(295)$$, chemistry and physics $$(83)$$, chemistry and Mathematics $$(217)$$, and physic and Mathematics $$(63)$$, How many students are taking all $$3$$ subjects?
GATE ECE Subjects
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Control Systems
Engineering Mathematics
Analog Circuits
Network Theory
Electromagnetics
Electronic Devices and VLSI
Digital Circuits
Microprocessors
Signals and Systems
Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Fourier Transform Representation of Continuous Time Signal Fourier Series Transmission of Signal Through Continuous Time LTI Systems Miscellaneous Sampling Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Discrete Time Signal Z Transform Transmission of Signal Through Discrete Time Lti Systems
Communications
General Aptitude