1
GATE ME 2024
Numerical
+2
-0
Let $X$ be a continuous random variable defined on $[0, 1]$ such that its probability density function $f(x) = 1$ for $0 \leq x \leq 1$ and $0$ otherwise. Let $Y = \log_e (X + 1)$. Then the expected value of $Y$ is _____ . (rounded off to 2 decimal places)
Your input ____
2
GATE ME 2022 Set 1
Numerical
+2
-0
Let a random variable X follow Poisson distribution such that
Prob(X = 1) = Prob(X = 2).
The value of Prob(X = 3) is __________ (round off to 2 decimal places).
Your input ____
3
GATE ME 2016 Set 2
Numerical
+2
-0
The probability that a screw manufactured by a company is defective is $$0.1$$. The company sells screws in packets containing $$5$$ screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is _________.
Your input ____
4
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Three cards were drawn from a pack of $$52$$ cards. The probability that they are a king, a queen, and a jack is
Questions Asked from Probability and Statistics (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ME 2024 (1)
GATE ME 2022 Set 1 (1)
GATE ME 2016 Set 2 (1)
GATE ME 2016 Set 3 (1)
GATE ME 2015 Set 3 (1)
GATE ME 2015 Set 2 (1)
GATE ME 2014 Set 2 (2)
GATE ME 2014 Set 3 (1)
GATE ME 2014 Set 1 (1)
GATE ME 2013 (1)
GATE ME 2012 (2)
GATE ME 2011 (1)
GATE ME 2007 (1)
GATE ME 2005 (1)
GATE ME 2004 (2)
GATE ME 2000 (1)
GATE ME 1999 (1)
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude