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Stats II · End Term · 31 Aug 2025 (Forenoon)

21 questions · 40 marks · 90 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Statistics for Data Science II

End Term · 31 Aug 2025 (Forenoon)

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.

Q1MCQ3 Marks·Choose one option
Asked 5 times Key ↓
1. A
2. B
3. C
4. D
Q2MCQ3 Marks·Choose one option
Asked 4 times Key ↓
1. ABeta (29, 44)
2. BBeta (30, 45)
3. CBeta (20, 30)
4. DBeta (10, 15)
Q3NAT3 Marks·Write the number
Asked 3 times Key ↓
Your answer:
Read the passage below, then answer Q4–Q9
Q4NAT0.5 Marks·Write the number
Key ↓
Your answer:
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:
Read the passage below, then answer Q10–Q11
Based on the above data, answer the given subquestions.
Q10MCQ1 Mark·Choose one option
Key ↓
Identify the correct PMF of X.
1. A
2. B
3. C
4. D
Q11NAT2 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q12–Q13
Based on the above data, answer the given subquestions.
Q12MCQ2 Marks·Choose one option
Asked 4 times Key ↓
What is the maximum likelihood estimate of θ?
1. A
2. B
3. C
4. D
Q13NAT3 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q14–Q15
A tech company claims that the average time their employees take to solve a debugging task is 45 minutes, with a known standard deviation of 10 minutes. A skeptical manager believes this time is too high and takes a random sample of 64 tasks. The manager decides to reject the company’s claim if the sample average time is less than ‘c’ minutes. Based on the given information, answer the subquestions.
Q14MCQ2 Marks·Choose one option
Asked 4 times Key ↓
Define null and alternative hypotheses.
1. A
2. B
3. C
4. D
Q15NAT3 Marks·Write the number
Asked 3 times Key ↓
If the value of the significance level is 0.16, then find the value of ‘c’. Enter the answer correct to two decimal places.
Your answer:
Read the passage below, then answer Q16–Q17
Based on the above data, answer the given subquestions.
Q16NAT2 Marks·Write the number
Key ↓
What is the expected number of calls handled by the agent in an hour? Enter the answer correct to one decimal place.
Your answer:
Q17NAT3 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q18–Q19
Based on the above data, answer the given subquestions.
Q18MCQ3 Marks·Choose one option
Key ↓
Find the posterior distribution of θ.
1. A
2. B
3. C
4. D
Q19NAT2 Marks·Write the number
Asked 2 times Key ↓
If the posterior mean is 0.6, then find the value of m.
Your answer:
Read the passage below, then answer Q20–Q21
Based on the above data, answer the given subquestions.
Q20MCQ2 Marks·Choose one option
Asked 4 times Key ↓
Find the value of k .
1. A17
2. B18
3. C1/17
4. D1/18
Q21NAT3 Marks·Write the number
Asked 4 times Key ↓
Your answer:

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1A

Q2B

Q30.01 to 0.03

Q412

Q51

Q64

Q76

Q89

Q921.62 to 21.68

Q10D

Q111

Q12B

Q131.185 to 1.191

Q14B

Q1543.73 to 43.79

Q161.4

Q170.7

Q18D

Q192

Q20B

Q210.8 to 0.86

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