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Previous year question hub

Probability and Statistics - Engineering Mathematics - Biotechnology Previous Year Questions

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

16Papers
16Years
37Questions
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 28 75.7%
Medium 9 24.3%

Question type distribution

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

MCQ 20 54.1%
Numerical Answer Type (NAT) 16 43.2%
Fill in the blanks 1 2.7%

Subject weightage

Top subjects by unique question coverage.

Biotechnology
37 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
37 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
37 Qs

Paper coverage

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

Biotechnology (BT) 2026
1 Qs
Biotechnology (BT) 2025
1 Qs
Biotechnology (BT) 2024
1 Qs
Biotechnology (BT) 2023
2 Qs
Biotechnology (BT) 2022
2 Qs
Biotechnology (BT) 2021
2 Qs
Biotechnology (BT) 2019
2 Qs
Biotechnology (BT) 2018
4 Qs
Biotechnology (BT) 2017
4 Qs
Biotechnology (BT) 2016
1 Qs
Biotechnology (BT) 2015
1 Qs
Biotechnology (BT) 2014
1 Qs
Biotechnology (BT) 2013
4 Qs
Biotechnology (BT) 2012
4 Qs
Biotechnology (BT) 2011
2 Qs
Biotechnology (BT) 2010
5 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Biotechnology (BT) 20262026
1 questions in this view
2026
Biotechnology (BT) 20252025
1 questions in this view
2025
Biotechnology (BT) 20242024
1 questions in this view
2024
Biotechnology (BT) 20232023
2 questions in this view
2023
Biotechnology (BT) 20222022
2 questions in this view
2022
Biotechnology (BT) 20212021
2 questions in this view
2021
Biotechnology (BT) 20192019
2 questions in this view
2019
Biotechnology (BT) 20182018
4 questions in this view
2018
Biotechnology (BT) 20172017
4 questions in this view
2017
Biotechnology (BT) 20162016
1 questions in this view
2016
Biotechnology (BT) 20152015
1 questions in this view
2015
Biotechnology (BT) 20142014
1 questions in this view
2014
Biotechnology (BT) 20132013
4 questions in this view
2013
Biotechnology (BT) 20122012
4 questions in this view
2012
Biotechnology (BT) 20112011
2 questions in this view
2011
Biotechnology (BT) 20102010
5 questions in this view
2010

All Probability and Statistics previous year questions

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

1
2013 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2013
One percent of the cars manufactured by a company are defective. What is the probability (upto four decimals) that more than two cars are defective, if 100 cars are produced? ________
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2
2013 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 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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3
2013 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 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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4
2013 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2013
All professors are researchers
Some scientists are professors

Which of the given conclusions is logically valid and is inferred from the above arguments:
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5
2014 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2014
If an unbiased coin is tossed 10 times, the probability that all outcomes are same will be ____ ×10⁻⁵
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6
2015 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2015

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible.

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7
2016 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2016
Runs scored by a batsman in five one-day matches are 55, 75, 67, 88 and 15. The standard deviation is ______ .
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8
2017 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2017
At the transcription start site of a gene, any of the four nucleotides can occur with equal probability p. The Shannon Entropy S, given by S = - Σi=14 pi ln pi, for this start site is ______.
Given data: ln(2) = 0.69
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9
2017 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2017

The distribution of marks scored by a large class in an exam can be represented as a normal distribution with mean μ and standard deviation σ. In a follow-up exam in the same class, everyone scored 5 marks more than their respective score in the earlier exam. For this follow-up exam, the distribution of marks can be represented as a normal distribution with mean μ2 and standard deviation σ2. Which one of the following is correct?

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10
2017 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2017
For the probability density \( P(x) = 0.5e^{-0.5x} \), the integral \( \int_{0}^{\infty} P(x)dx = \) _______.
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11
2017 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2017
In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.
Which of the following statements is correct?
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12
2018 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2018
Consider an unfair coin. The probability of getting heads is 0.6. If you toss this coin twice, what is the probability that the first or the second toss is heads?
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13
2018 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2018

Standard error is

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14
2018 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2018
The variable z has a standard normal distribution. If \(P(0 \le z \le 1) = 0.34\), then \(P(z^2 > 1)\) is equal to (up to two decimal places) __________
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15
2018 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2018
The probability distribution for a discrete random variable X is given below.
X1234
P(X)0.30.40.20.1

The expectation value of X is (up to one decimal place) \_\_\_\_\_\_
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16
2019 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2019
The median value for the dataset (12, 10, 16, 8, 90, 50, 30, 24) is ________.
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17
2019 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2019
A new game is being introduced in a casino. A player can lose Rs. 100, break even, win Rs. 100, or win Rs. 500. The probabilities (P(X)) of each of these outcomes (X) are given in the following table:
X (in Rs.)-1000100500
P (X)0.250.50.20.05
The standard deviation (σ) for the casino payout is Rs. _______ (rounded off to the nearest integer).
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18
2021 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2021

Three balls, colored in blue, green and red, are successively transferred from box A to box B in the order BLUE-GREEN-RED. The probability of a reverse transfer of the balls to the box A in the same order (rounded off to two decimal places) is ______.

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19
2021 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2021
If the values of two random variables \( (X, Y) \) 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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20
2022 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2022
The probability density function of a random variable \(X\) is \(p(x) = 2e^{-2x}\). The probability \(P(1 \leq X \leq 2)\) (rounded off to two decimal places) is __________.
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Showing 20 of 37 questions