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Previous year question hub

Probability and Statistics - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

Practice Probability and Statistics - Engineering Mathematics - Electronics & Communication Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

29Papers
19Years
125Questions
1Topics

Probability and Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 107 85.6%
Medium 18 14.4%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 99 79.2%
Numerical Answer Type (NAT) 17 13.6%
MSQ 7 5.6%
Fill in the blanks 2 1.6%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering
125 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
125 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
125 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Electronics and Communication Engineering (EC) 2026
1 Qs
Electronics & Communication Engineering (EC) 2025
2 Qs
Electronics & Communication Engineering (EC) 2024
1 Qs
Electronics & Communication Engineering (EC) 2022
1 Qs
Electronics & Communication Engineering (EC) 2021
2 Qs
Electronics & Communication Engineering (EC) 2020
1 Qs
Electronics & Communication Engineering (EC) 2019
2 Qs
Electronics & Communication Engineering (EC) 2018
1 Qs
Electronics & Communication Engineering (EC) 2017 [Session 1]
9 Qs
Electronics & Communication Engineering (EC) 2017
7 Qs
Electronics & Communication Engineering (EC) 2017 [Session 2]
1 Qs
Electronics & Communication Engineering (EC) 2016 [Session 2]
8 Qs
Electronics & Communication Engineering (EC) 2016 [Session 1]
6 Qs
Electronics & Communication Engineering (EC) 2016 [Session 3]
1 Qs
Electronics & Communication Engineering (EC) 2015 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 2]
6 Qs
Electronics & Communication Engineering (EC) 2014 [Session 3]
4 Qs
Electronics & Communication Engineering (EC) 2014 [Session 4]
3 Qs
Electronics & Communication Engineering (EC) 2014 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2013 [Session 1]
8 Qs
Electronics & Communication Engineering (EC) 2013 [Session 2]
8 Qs
Electronics & Communication Engineering (EC) 2013 [Session 3]
8 Qs
Electronics & Communication Engineering (EC) 2013 [Session 4]
8 Qs
Electronics & Communication Engineering (EC) 2012
10 Qs
Electronics & Communication Engineering (EC) 2011
8 Qs
Electronics & Communication Engineering (EC) 2010
10 Qs
Electronics & Communication Engineering (EC) 2009
3 Qs
Electronics & Communication Engineering (EC) 2008
2 Qs
Electronics & Communication Engineering (EC) 2007
2 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Electronics and Communication Engineering (EC) 20262026
1 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20252025
2 questions in this view		2025
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20242024
1 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20222022
1 questions in this view		2022
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20212021
2 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20202020
1 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20192019
2 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20182018
1 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20172017
7 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Electronics & Communication Engineering (EC) 2017 [Session 1]2017
9 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2017 [Session 2]2017
1 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 1]2016
6 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 2]2016
8 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 3]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2015 [Session 1]2015
1 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 1]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 2]2014
6 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 3]2014
4 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 4]2014
3 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 1]2013
8 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 2]2013
8 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 3]2013
8 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 4]2013
8 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20122012
10 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20112011
8 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20102010
10 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20092009
3 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20082008
2 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20072007
2 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Probability and Statistics previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2007

If \(E\) denotes expectation, the variance of a random variable \(X\) is given by

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2
2007 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2007

An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is

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3
2008 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2008

The probability density function (PDF) of a random variable X is as shown below.

The corresponding cumulative distribution function (CDF) has the form

Question diagram

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4
2008 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2008
\(P_X(x) = M \exp(-2|x|) + N \exp(-3|x|)\) is the probability density function for the real random variable \(X\), over the entire \(x\) axis. \(M\) and \(N\) are both positive real numbers. The equation relating \(M\) and \(N\) is
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5
2009 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2009
A fair coin is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads ?
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6
2009 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2009
Consider two independent random variables \(X\) and \(Y\) with identical distributions. The variables \(X\) and \(Y\) take values \(0, 1\) and \(2\) with probabilities \(\frac{1}{2}, \frac{1}{4}\) and \(\frac{1}{4}\) respectively. What is the conditional probability \(P(X + Y = 2 | X - Y = 0)\) ?
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7
2009 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2009
A discrete random variable \(X\) takes values from 1 to 5 with probabilities as shown in the table. A student calculates the mean of \(X\) as 3.5 and her teacher calculates the variance of \(X\) as 1.5. Which of the following statements is true ?
\(k\)12345
\(P(X=k)\)0.10.20.40.20.1

Question diagram

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8
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
A fair coin is tossed independently four times. The probability of the event “the number of times heads show up is more than the number of times tails show up” is
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9
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
Which of the following options is the closest in meaning to the word below: Circuitous
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10
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed : Worker

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11
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
Choose the most appropriate word from the options given below to complete the following sentence: If we manage to ____________ our natural resources, we would leave a better planet for our children.
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12
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics ____________ his lack of seriousness about the subject.
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13
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:
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14
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regrettably, there exist people in military establishments who think that chemical agents are useful tools for their cause. Which of the following statements best sums up the meaning of the above passage:
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15
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

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16
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?
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17
2010 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2010
Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts: i. Hari's age + Gita's age > Irfan's age + Saira's age ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest. iii. There are no twins. In what order were they born (oldest first)?
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18
2011 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2011

A fair dice is tossed two times. The probability that the second toss results in a value that is higher than the first toss is

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19
2011 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2011
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena
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20
2011 · Electronics & Communication Engineering · Engineering Mathematics · Probability and Statistics
Electronics & Communication Engineering (EC) 2011

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what was the total number of voters?

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Showing 20 of 105 questions