Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Statistics for Data Science II
Functions of random variables
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.
Quiz 1 · 26 Oct 2025 (AN)Quiz 1
Useful Reference Data for this Paper
Q1NAT3 Marks·Write the number
Your answer:Read the passage below, then answer Q2–Q3
Based on the above data, answer the given subquestions.
Q2MCQ2 Marks·Choose one optionWhat is the range of Y ?
- A{0, 1, 2, 3, 4, 5, 6}
- B{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
- C{1, 2, 3, 4, 5, 6 }
- D{ 2, 3, 4, 5, 6, 7, 8, 9}
- Q3NAT3 Marks·Write the number
Your answer: Read the passage below, then answer Q4–Q5
Based on the above data, answer the given subquestions.
Q4NAT3 Marks·Write the number
Your answer:- Q5MCQ2 Marks·Choose one option
- A
- B
- C
- D
- A
End Term · 31 Aug 2025 (FN)End Term
Read the passage below, then answer Q6–Q7
Based on the above data, answer the given subquestions.
Q6NAT2 Marks·Write the numberWhat is the expected number of calls handled by the agent in an hour? Enter the answer correct to one decimal place.
Your answer:- Q7NAT3 Marks·Write the number
Your answer:
Quiz 2 · 3 Aug 2025 (AN)Quiz 2
Useful Reference Data for this Paper
Q8MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
End Term · 13 Apr 2025 (FN)End Term
- Q9MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
End Term · 13 Apr 2025 (AN)End Term
Read the passage below, then answer Q10–Q11
A factory produces electronic processors and their performance score depends on two factors: (i) Number of Cores (X), (ii) Cache Size (Y ). For a randomly chosen processor, the probability mass functions (PMFs) of X and Y are given as follows:
The overall performance score (Z) of a processor is defined as Z= 4X + 3Y .
Based on the above data, answer the given subquestions.
Q10MCQ2 Marks·Choose one optionIdentify all the possible values of overall performance score (Z).
- A{10, 13, 14, 16, 17, 20}
- B{11, 13, 19, 14, 18, 25}
- C{10, 11, 14, 16, 19, 20}
- D{11, 14, 15, 18, 19, 22}
- Q11NAT3 Marks·Write the number
Compute the value of E [ Z ]. Enter the answer correct to one decimal place.
Your answer:
End Term · 22 Dec 2024 (FN)End Term
- Q12MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
Read the passage below, then answer Q13–Q14
Based on the above data, answer the given subquestions.
Q13MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
- Q14NAT2 Marks·Write the number
Your answer:
End Term · 22 Dec 2024 (AN)End Term
Read the passage below, then answer Q15–Q16
Based on the above data, answer the given subquestions.
Q15MCQ3 Marks·Choose one option
- A
- B
- C
- D
- A
- Q16NAT2 Marks·Write the number
Your answer: