Instrumentation Engineering
GATE IN 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.
Questions 1–4 of 4. Imported answers require independent review unless marked reviewed.
Question 65
Open questionINNAT2 marksNeeds review
A random variable X has a probability density function
The probability of X > 2 is _________ (rounded off to three decimal places).Log in to check the answer
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Open questionINNAT1 markNeeds review
is a discrete random variable which takes values 0, 1 and 2. The probabilities are
and
. With
denoting the expectation operator, the value of
is _____ (rounded off to one decimal place).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 37
Open questionINNAT2 marksNeeds review
Consider that X and Y are independent continuous valued random variables with uniform PDF given by
and
. Then
is equal to ________ (rounded off to two decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
Open questionINMCQ1 markNeeds review
and
are two independent random variables with variances 1 and 2, respectively. Let
. The variance of Z isYour answerChoose one option.
Log in to check the answer
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