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May 2025 term · Statistics for Data Science II · BSMA1004

Statistics for Data Science II End Term: 31 August 2025 (May 2025 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 31 Aug 2025, in the May 2025 term: 21 questions for 40 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
21
Marks
40
Duration
180 min
MCQ
7
Numerical
14
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION FN EXAM QDF1 31 Aug 2025 · No negative marking.

Question 1

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 1 on its own page

Question 2

+3 marksOne correct option
  1. A

    Beta (29, 44)

  2. B

    Beta (30, 45)

  3. C

    Beta (20, 30)

  4. D

    Beta (10, 15)

Show answer

Correct answer

  • B

    Beta (30, 45)

Question 2 on its own page

Question 3

+3 marksNumerical answer
Show answer

Correct answer: 0.02 (accepted within ±0.01)

Question 3 on its own page

Question 4

+0.5 marksNumerical answer
Show answer

Correct answer: 12

Question 4 on its own page

Question 5

+0.5 marksNumerical answer
Show answer

Correct answer: 1

Question 5 on its own page

Question 6

+0.5 marksNumerical answer
Show answer

Correct answer: 4

Question 6 on its own page

Question 7

+0.5 marksNumerical answer
Show answer

Correct answer: 6

Question 7 on its own page

Question 8

+0.5 marksNumerical answer
Show answer

Correct answer: 9

Question 8 on its own page

Question 9

+0.5 marksNumerical answer
Show answer

Correct answer: 21.65 (accepted within ±0.03)

Question 9 on its own page

Question 10

+1 markOne correct option

Based on the above data, answer the given subquestions.

Identify the correct PMF of X.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D
Question 10 on its own page

Question 11

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1

Question 11 on its own page

Question 12

+2 marksOne correct option

Based on the above data, answer the given subquestions.

What is the maximum likelihood estimate of θ?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 12 on its own page

Question 13

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1.188 (accepted within ±0.003)

Question 13 on its own page

Question 14

+2 marksOne correct option

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.

Define null and alternative hypotheses.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 14 on its own page

Question 15

+3 marksNumerical answer

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.

If the value of the significance level is 0.16, then find the value of ‘c’. Enter the answer correct to two decimal places.

Show answer

Correct answer: 43.76 (accepted within ±0.03)

Question 15 on its own page

Question 16

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the expected number of calls handled by the agent in an hour? Enter the answer correct to one decimal place.

Show answer

Correct answer: 1.4

Question 16 on its own page

Question 17

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.7

Question 17 on its own page

Question 18

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Find the posterior distribution of θ.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D
Question 18 on its own page

Question 19

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

If the posterior mean is 0.6, then find the value of m.

Show answer

Correct answer: 2

Question 19 on its own page

Question 20

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Find the value of k .

  1. A

    17

  2. B

    18

  3. C

    1/17

  4. D

    1/18

Show answer

Correct answer

  • B

    18

Question 20 on its own page

Question 21

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.83 (accepted within ±0.03)

Question 21 on its own page