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GATE BT concept:random-variables PYQs

Build your understanding with focused practice from past exam papers.

How to practice concept:random-variables

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

GATE BT syllabus

Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.

Topic practice 5 questionsPage 1 of 1

Question 31

Open question
BTNAT1 markNeeds review
The probability density function of a random variable

is

. The probability

(rounded off to two decimal places) is ________________.

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Question 55

Open question
BTNAT2 marksNeeds review
Consider a random variable

with mean

and variance

. A new random variable

is defined. The variance of the random variable

(rounded off to one decimal place) is ____________________.

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Question 43

Open question
BTNAT2 marksNeeds review
If the values of two random variables

are (121, 360), (242, 364) and (363, 362), the value of correlation coefficient between X and Y (rounded off to one decimal place) is _____.

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Question 24

Open question
BTNAT1 markNeeds review
A normal random variable has mean equal to 0, and standard deviation equal to 3. The probability that on a random draw the value of this random variable is greater than 0 is ____________ (round off to 2 decimal places).

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Question 42

Open question
BTNAT2 marksNeeds review
The probability distribution for a discrete random variable

is given below.

1
2
3
4

0.3
0.4
0.2
0.1
The expectation value of

is (up to one decimal place)


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