1

GATE PI 2016

MCQ (Single Correct Answer)

+2

-0.6

A normal random variable $$X$$ has the following probability density function
$$${f_x}\left( x \right) = {1 \over {\sqrt {8\pi } }}e{}^{ - \left\{ {{{{{\left( {x - 1} \right)}^2}} \over 8}} \right\}}, - \infty < x < \infty $$$

Then $$\,\int\limits_1^\infty {{f_x}\left( x \right)dx = } $$

Then $$\,\int\limits_1^\infty {{f_x}\left( x \right)dx = } $$

2

GATE PI 2015

MCQ (Single Correct Answer)

+2

-0.6

A product is an assemble of $$5$$ different components. The product can be sequentially assembled in two possible ways. If the $$5$$ components are placed in a box and these are drawn at random from the box, then the probability of getting a correct sequence is

3

GATE PI 2015

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?

4

GATE PI 2014

Numerical

+2

-0

A simple random sample of $$100$$ observations was taken form a large population. The sample mean and the standard deviation were determined to be $$80$$ and $$12,$$ respectively. The standard error of mean is ______.

Your input ____

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