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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.

4Papers
4Years
10Questions
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 8 80%
Medium 2 20%

Question type distribution

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

MCQ 8 80%
Fill in the blanks 1 10%
Numerical Answer Type (NAT) 1 10%

Subject weightage

Top subjects by unique question coverage.

Biotechnology
10 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
10 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
10 Qs

Paper coverage

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

Biotechnology (BT) 2021
1 Qs
Biotechnology (BT) 2017
1 Qs
Biotechnology (BT) 2013
4 Qs
Biotechnology (BT) 2012
4 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Biotechnology (BT) 202120211View paper
Biotechnology (BT) 201720171View paper
Biotechnology (BT) 201320134View paper
Biotechnology (BT) 201220124View paper

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
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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6
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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7
2012 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2012
A disease is inherited by a child with a probability of 1/4. In a family with two children, the probability that exactly one sibling is affected by this disease is
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8
2012 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 2012

Consider the data set 14, 18, 14, 14, 10, 29, 33, 31, 25. If you add 20 to each of the values, then

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9
2012 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 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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10
2012 · Biotechnology · Engineering Mathematics · Probability and Statistics
Biotechnology (BT) 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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