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Previous year question hub

Probability and Statistics - Engineering Mathematics - Chemical Engineering Previous Year Questions

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

17Papers
17Years
31Questions
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 26 83.9%
Medium 5 16.1%

Question type distribution

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

MCQ 23 74.2%
Numerical Answer Type (NAT) 7 22.6%
MSQ 1 3.2%

Subject weightage

Top subjects by unique question coverage.

Chemical Engineering
31 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
31 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
31 Qs

Paper coverage

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

Chemical Engineering (CH) 2026
1 Qs
Chemical Engineering (CH) 2025
2 Qs
Chemical Engineering (CH) 2024
1 Qs
Chemical Engineering (CH) 2023
1 Qs
Chemical Engineering (CH) 2021
2 Qs
Chemical Engineering (CH) 2020
1 Qs
Chemical Engineering (CH) 2019
1 Qs
Chemical Engineering (CH) 2018
1 Qs
Chemical Engineering (CH) 2017
2 Qs
Chemical Engineering (CH) 2014
2 Qs
Chemical Engineering (CH) 2013
4 Qs
Chemical Engineering (CH) 2012
4 Qs
Chemical Engineering (CH) 2011
1 Qs
Chemical Engineering (CH) 2010
4 Qs
Chemical Engineering (CH) 2009
1 Qs
Chemical Engineering (CH) 2008
2 Qs
Chemical Engineering (CH) 2007
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Chemical Engineering (CH) 202620261View paper
Chemical Engineering (CH) 202520252View paper
Chemical Engineering (CH) 202420241View paper
Chemical Engineering (CH) 202320231View paper
Chemical Engineering (CH) 202120212View paper
Chemical Engineering (CH) 202020201View paper
Chemical Engineering (CH) 201920191View paper
Chemical Engineering (CH) 201820181View paper
Chemical Engineering (CH) 201720172View paper
Chemical Engineering (CH) 201420142View paper
Chemical Engineering (CH) 201320134View paper
Chemical Engineering (CH) 201220124View paper
Chemical Engineering (CH) 201120111View paper
Chemical Engineering (CH) 201020104View paper
Chemical Engineering (CH) 200920091View paper
Chemical Engineering (CH) 200820082View paper
Chemical Engineering (CH) 200720071View paper

All Probability and Statistics previous year questions

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

1
2007 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2007
The thickness of a conductive coating in micrometers has a probability density function of \( 600 x^{-2} \) for \( 100 \mu m < x < 120 \mu m \). The mean and the variance of the coating thickness is
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2
2008 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2008
The normal distribution is given by \( f(x) = \frac{1}{\sqrt{2\pi}\sigma} \exp \left( -\frac{(x-\mu)^2}{2\sigma^2} \right), \; -\infty < x < \infty \)
The points of inflexion on the normal curve are
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3
2008 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2008
The Poisson distribution is given by \( P(r) = \frac{m^r}{r!} \exp(-m) \). The first moment about the origin for this distribution is
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4
2009 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2009
A fair die is rolled. Let \(R\) denote the event of obtaining a number less than or equal to 5 and \(S\) denote the event of obtaining an odd number. Then which ONE of the following about the probability (\(P\)) is TRUE?
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5
2010 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2010

X and Y are independent random variables. X follows a binomial distribution, with N = 5 and p = 1/2. Y takes integer values 1 and 2, with equal probability. Then the probability that X = Y is

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6
2010 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2010

A box contains three red and two black balls. Four balls are removed from the box one by one, without replacement. The probability of the ball remaining in the box being red, is

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7
2010 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 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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8
2010 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 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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9
2011 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2011
Fuel cell stacks are made of NINE membrane electrode assemblies (MEAs) interleaved between TEN bipolar plates (BPs) as illustrated below. The width of a membrane electrode assembly and a bipolar plate are normally distributed with \(\mu_{MEA} = 0.15\), \(\sigma_{MEA} = 0.01\) and \(\mu_{BP} = 5\), \(\sigma_{BP} = 0.1\) respectively. The widths of the different layers are independent of each other. Which ONE of the following represents the CORRECT values of (\(\mu_{stack}, \sigma_{stack}\)) for the overall fuel cell stack width?

Question diagram

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10
2012 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2012

A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are

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11
2012 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2012
An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
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12
2012 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2012

Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.

Which one of the following is the best inference from the above advertisement?

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13
2012 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2012
Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
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14
2013 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2013
The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15, respectively. What are the median and the mode for these data?
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15
2013 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2013
For two rolls of a fair die, the probability of getting a 4 in the first roll and a number less than 4 in the second roll, up to 3 digits after the decimal point, is ______
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16
2013 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2013

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?

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17
2013 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2013
Following table gives data on tourists from different countries visiting India in the year 2011.
CountryNumber of Tourists
USA2000
England3500
Germany1200
Italy1100
Japan2400
Australia2300
France1000
Which two countries contributed to the one third of the total number of tourists who visited India in 2011?
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18
2014 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2014
Consider the following two normal distributions
\(f_1(x) = \exp(-\pi x^2)\)
\(f_2(x) = \frac{1}{2\pi} \exp \left\{ -\frac{1}{4\pi} (x^2 + 2x + 1) \right\}\)
If \(\mu\) and \(\sigma\) denote the mean and standard deviation, respectively, then
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19
2014 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2014
In rolling of two fair dice, the outcome of an experiment is considered to be the sum of the numbers appearing on the dice. The probability is highest for the outcome of __________
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20
2017 · Chemical Engineering · Engineering Mathematics · Probability and Statistics
Chemical Engineering (CH) 2017
The marks obtained by a set of students are: 38, 84, 45, 70, 75, 60, 48.
The mean and median marks, respectively, are
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Showing 20 of 31 questions