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Previous year question hub

Probability and Statistics - Engineering Mathematics - Production & Industrial Engineering Previous Year Questions

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

22Papers
20Years
68Questions
1Topics

Probability and Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Probability and Statistics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 60 88.2%
Medium 8 11.8%

Question type distribution

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

MCQ 51 75%
Numerical Answer Type (NAT) 16 23.5%
MSQ 1 1.5%

Subject weightage

Top subjects by unique question coverage.

Production & Industrial Engineering
68 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
68 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
68 Qs

Paper coverage

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

Production and Industrial Engineering (PI) 2026
2 Qs
Production & Industrial Engineering (PI) 2025
3 Qs
Production & Industrial Engineering (PI) 2024
2 Qs
Production & Industrial Engineering (PI) 2023
2 Qs
Production & Industrial Engineering (PI) 2022
2 Qs
Production & Industrial Engineering (PI) 2021
2 Qs
Production & Industrial Engineering (PI) 2020
2 Qs
Production & Industrial Engineering (PI) 2019
1 Qs
Production & Industrial Engineering (PI) 2018
2 Qs
Production & Industrial Engineering (PI) 2017
2 Qs
Production & Industrial Engineering (PI) 2016
3 Qs
Production & Industrial Engineering (PI) 2015
2 Qs
Production & Industrial Engineering (PI) 2014
5 Qs
Production & Industrial Engineering (PI) 2013 [Session 1]
3 Qs
Production & Industrial Engineering (PI) 2013 [Session 2]
3 Qs
Production & Industrial Engineering (PI) 2013 [Session 4]
3 Qs
Production & Industrial Engineering (PI) 2012
3 Qs
Production & Industrial Engineering (PI) 2011
2 Qs
Production & Industrial Engineering (PI) 2010
8 Qs
Production & Industrial Engineering (PI) 2009
2 Qs
Production & Industrial Engineering (PI) 2008
4 Qs
Production & Industrial Engineering (PI) 2007
10 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Production and Industrial Engineering (PI) 202620262View paper
Production & Industrial Engineering (PI) 202520253View paper
Production & Industrial Engineering (PI) 202420242View paper
Production & Industrial Engineering (PI) 202320232View paper
Production & Industrial Engineering (PI) 202220222View paper
Production & Industrial Engineering (PI) 202120212View paper
Production & Industrial Engineering (PI) 202020202View paper
Production & Industrial Engineering (PI) 201920191View paper
Production & Industrial Engineering (PI) 201820182View paper
Production & Industrial Engineering (PI) 201720172View paper
Production & Industrial Engineering (PI) 201620163View paper
Production & Industrial Engineering (PI) 201520152View paper
Production & Industrial Engineering (PI) 201420145View paper
Production & Industrial Engineering (PI) 2013 [Session 1]20133View paper
Production & Industrial Engineering (PI) 2013 [Session 2]20133View paper
Production & Industrial Engineering (PI) 2013 [Session 4]20133View paper
Production & Industrial Engineering (PI) 201220123View paper
Production & Industrial Engineering (PI) 201120112View paper
Production & Industrial Engineering (PI) 201020108View paper
Production & Industrial Engineering (PI) 200920092View paper
Production & Industrial Engineering (PI) 200820084View paper
Production & Industrial Engineering (PI) 2007200710View paper

All Probability and Statistics previous year questions

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

1
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
Two cards are drawn at random in succession, with replacement, from a deck of 52 well shuffled cards. Probability of getting both ‘Aces’ is
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2
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
Two cards are drawn at random in succession, with replacement, from a deck of 52 well shuffled cards. Probability of getting both 'Aces' is
Open complete paper
3
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
If X is a continuous random variable whose probability density function is given by \( f(x) = \begin{cases} K(5x - 2x^2), & 0 \le x \le 2 \\ 0, & \text{otherwise} \end{cases} \) Then \( P(X > 1) \) is:
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4
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
The random variable X takes on the values 1, 2, or 3 with probabilities (2+5P)/5, (1+3P)/5, and (1.5+2P)/5, respectively. The values of P and E[X] are respectively
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5
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
If X is a continuous random variable whose probability density function is given by \( f(x) = \begin{cases} K(5x - 2x^2), & 0 \le x \le 2 \\ 0, & \text{otherwise} \end{cases} \) Then P(X > 1) is:
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6
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
The average number of accidents occurring monthly on an assembly shop floor is 2. The probability that there will be at least one accident in this month is estimated to be
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7
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
\( X_1, ..., X_{100} \) are Bernoulli random variables with a probability of success equal to 0.6. By the Central Limit Theorem, the random variable \( Y = \sum_{i=1}^{100} X_i \) is approximately normally distributed. Then \( Y \) has mean and variance respectively equal to
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8
2007 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2007
X_1, ..., X_100 are Bernoulli random variables with a probability of success equal to 0.6. By the Central Limit Theorem, the random variable Y = \sum_{i=1}^{100} X_i is approximately normally distributed. Then Y has mean and variance respectively equal to
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9
2008 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2008
For a random variable \(x\) (\(-\infty < x < \infty\)) following normal distribution, the mean is \(\mu = 100\). If the probability is \(P = \alpha\) for \(x \geq 110\), then the probability of \(x\) lying between 90 and 110, i.e., \(P(90 \leq x \leq 110)\) will be equal to
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10
2008 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2008
For a random variable $x$ ($-\infty < x < \infty$) following normal distribution, the mean is $\mu = 100$. If the probability is $P = \alpha$ for $x \geq 110$, then the probability of $x$ lying between 90 and 110, i.e., $P(90 \leq x \leq 110)$ will be equal to
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11
2008 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2008
In a game, two players \(X\) and \(Y\) toss a coin alternately. Whosoever gets a 'head' first, wins the game and the game is terminated. Assuming that player \(X\) starts the game, the probability of player \(X\) winning the game is
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12
2008 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2008
In a game, two players \( X \) and \( Y \) toss a coin alternately. Whosoever gets a ‘head’ first, wins the game and the game is terminated. Assuming that player \( X \) starts the game, the probability of player \( X \) winning the game is
Open complete paper
13
2009 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2009
Consider the joint probability mass function of random variables X and Y as shown in table below :
For instance, P(X = 1, Y = 2) = 0.3
X = 1X = 2
Y = 10.20.3
Y = 20.30.1
Y = 30.1
The value of P(X=2 | Y=2) is

Question diagram

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14
2009 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2009
Consider the joint probability mass function of random variables X and Y as shown in table below : For instance, P(X = 1, Y = 2) = 0.3
X = 1X = 2
Y = 10.20.3
Y = 20.30.1
Y = 30.1
The value of P(X=2 | Y=2) is

Question diagram

Open complete paper
15
2010 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2010
If a random variable X satisfies the Poisson’s distribution with a mean value of 2, then the probability that \( X \ge 2 \) is
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16
2010 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2010
Two white and two black balls, kept in two bins, are arranged in four ways as shown below. In each arrangement, a bin has to be chosen randomly and only one ball needs to be picked randomly from the chosen bin. Which one of the following arrangements has the highest probability for getting a white ball picked?
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17
2010 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 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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18
2010 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 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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19
2010 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 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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20
2011 · Production & Industrial Engineering · Engineering Mathematics · Probability and Statistics
Production & Industrial Engineering (PI) 2011

It is estimated that the average number of events during a year is three. What is the probability of occurrence of not more than two events over a two-year duration? Assume that the number of events follows a Poisson distribution.

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Showing 20 of 57 questions