1

GATE ME 2024

Numerical

+2

-1.33

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 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

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 2015 Set 3

MCQ (Single Correct Answer)

+2

-0.6

A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event that a tail occurs on the third toss. Let $$Z$$ be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

Questions Asked from Probability and Statistics (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ME 2024 (1)
GATE ME 2016 Set 3 (1)
GATE ME 2016 Set 2 (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