Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Statistics for Data Science II
Quiz 2 · 3 Aug 2025 (Afternoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- MSQ: One or more options correct. Select all to score.
- 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
- A

- B

- C

- D

- A
- Q2MSQ3 Marks·Choose all correct options

- A

- B

- C

- D

- E

- A
- Q3MSQ3 Marks·Choose all correct options

- A

- B

- C

- D

- A
- Q4NAT3 Marks·Write the number
Your answer: - Q5NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q6–Q7

Based on the above data, answer the given subquestions.
Q6MCQ3 Marks·Choose one option
- A

- B

- C

- D

- A
- Q7NAT2 Marks·Write the number
Find the value of P(X < 1, Y < 1). Enter the answer correct to two decimal places.
Your answer: Read the passage below, then answer Q8–Q9

Based on the above data, answer the given subquestions.
Q8MCQ2 Marks·Choose one optionWhat is the marginal distribution of Y ?
- A

- B

- C

- D

- A
- Q9NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q10–Q11

Based on the above data, answer the given subquestions.
Q10MCQ3 Marks·Choose one optionWhich of the following options is an acceptable approximate model for Y as per the Central Limit Theorem?
- A

- B

- C

- D

- E

- A
- Q11NAT2 Marks·Write the number
Using the Central Limit Theorem, it is calculated that the approximate value of P(Y > a) is 0.023. What is the value of a? (See the “Useful Data” given in the Question 2 ).
Your answer: Read the passage below, then answer Q12–Q13

Based on the above data, answer the given subquestions.
Q12NAT3 Marks·Write the number
Your answer:- Q13NAT2 Marks·Write the number
Your answer: Read the passage below, then answer Q14–Q15

Based on the above data, answer the given subquestions.
Q14NAT2 Marks·Write the numberFind the value of k.
Your answer:- Q15NAT3 Marks·Write the number
Your answer: