1

GATE PI 2008

MCQ (Single Correct Answer)

+2

-0.6

In a game, two players $$X$$ and $$Y$$ toss a coin alternately. Whoever gets a 'head' first, wins the game and the game is terminated. Assuming that players $$X$$ starts the game the probability of player $$X$$ winning the game is

2

GATE PI 2007

MCQ (Single Correct Answer)

+2

-0.6

If $$X$$ is a continuous random variable whose probability density function is given by
$$$\,\,\,f\left( x \right) = \left\{ {\matrix{
{k\left( {5x - 2{x^2}} \right),} & {0 \le x \le 2} \cr
{0,} & {Otherwise} \cr
} } \right.\,\,\,\,$$$

Then $$P\left( {x > 1} \right)$$ is

Then $$P\left( {x > 1} \right)$$ is

3

GATE PI 2007

MCQ (Single Correct Answer)

+2

-0.6

Two cards are drawn at random in succession with replacement from a deck of $$52$$ well shuffled cards Probability of getting both 'Aces' is

Questions Asked from Probability and Statistics (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE PI Subjects

Engineering Mechanics

Strength of Materials

Theory of Machines

Engineering Mathematics

Machine Design

Fluid Mechanics

Thermodynamics

Casting

Joining of Materials

Metal Forming

Machine Tools and Machining

Metrology

Industrial Engineering