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Stats II · Quiz 1 · 26 Oct 2025 (Afternoon)

20 questions · 40 marks · 60 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Statistics for Data Science II

Quiz 1 · 26 Oct 2025 (Afternoon)

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Useful Reference Data for this Paper
Q1MCQ3 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q2NAT3 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q3NAT3 Marks·Write the number
Key ↓
Your answer:
Q4NAT3 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Read the passage below, then answer Q5–Q10
Q5NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q6NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q7NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q8NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q9NAT0.5 Marks·Write the number
Key ↓
Your answer:
Q10NAT0.5 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q11–Q12
Based on the above data, answer the given subquestions.
Q11MCQ2 Marks·Choose one option
Asked 4 times Key ↓
Find the value of k.
1. A
2. B
3. C
4. D
Q12NAT3 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Read the passage below, then answer Q13–Q14
Based on the above data, answer the given subquestions.
Q13MCQ3 Marks·Choose one option
Key ↓
1. A0.20
2. B0.30
3. C0.45
4. D0.25
Q14NAT2 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q15–Q16
Based on the above data, answer the given subquestions.
Q15MCQ2 Marks·Choose one option
Key ↓
Using Markov’s inequality, find an upper bound on the probability that the processing time is at least 1.3 times its expected value.
1. A
2. B
3. C
4. D
Q16NAT3 Marks·Write the number
Asked 2 times Key ↓
Using Chebyshev’s inequality, find a lower bound on the probability that the processing time lies between 480 milliseconds and 520 milliseconds. Enter the answer correct to two decimal places.
Your answer:
Read the passage below, then answer Q17–Q18
Based on the above data, answer the given subquestions.
Q17MCQ2 Marks·Choose one option
Key ↓
What is the range of Y ?
1. A{0, 1, 2, 3, 4, 5, 6}
2. B{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
3. C{1, 2, 3, 4, 5, 6 }
4. D{ 2, 3, 4, 5, 6, 7, 8, 9}
Q18NAT3 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q19–Q20
Based on the above data, answer the given subquestions.
Q19NAT3 Marks·Write the number
Key ↓
Your answer:
Q20MCQ2 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1D

Q2638

Q30.7

Q40.1

Q55

Q62

Q78

Q812

Q99

Q1010

Q11B

Q120.6 to 0.66

Q13D

Q140.43 to 0.47

Q15B

Q160.73 to 0.77

Q17A

Q180.2 to 0.22

Q191

Q20B

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.