Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
BSMA1002 · Statistics for Data Science I
Uniform, exponential & normal
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.
End Term · 31 Aug 2025 (FN)End Term
- Q1MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- E
- A
- Q2NAT3 Marks·Write the number
Your answer:
End Term · 31 Aug 2025 (AN)End Term
- Q3MSQ2 Marks·Choose all correct options
- A
- B
- C
- D
- A
End Term · 13 Apr 2025 (FN)End Term
Read the passage below, then answer Q4–Q5
The time taken by a coffee machine to brew a cup of coffee is uniformly distributed between 2 and b minutes. Based on this information, answer the given subquestions:
Q4NAT2 Marks·Write the numberIf the expected time for the coffee machine to brew a cup of coffee is 8.5 minutes, then find the value of b.
Your answer:- Q5MCQ3 Marks·Choose one option
If the coffee machine has been brewing for more than 6 minutes, what is the probability that it will finish brewing between 6 and 10 minutes?
- A
- B
- C
- D
- A
End Term · 13 Apr 2025 (AN)End Term
- Q6MSQ3 Marks·Choose all correct options
A customer support center tracks the time agents take to resolve customer queries. Let X (in minutes) represent the resolution time, which follows an exponential distribution with an average resolution time of 2 minutes. Which of the following option(s) is/are true?
- A
- B
- C
- D
- A
Read the passage below, then answer Q7–Q8
Let X represent the time a student takes to complete a test, which follows a uniform distribution between 45 and 75 minutes. Using this information, answer the given subquestions.
Q7NAT2 Marks·Write the number
Your answer:- Q8MCQ3 Marks·Choose one option
Given that a student has already spent 60 minutes on the test, what is the probability that they will take more than 65 minutes to complete it?
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (FN)End Term
- Q9NAT4 Marks·Write the number
A certain type of electronic device has a lifetime that follows an exponential distribution with a mean of 500 hours. If the device has already worked for 300 hours without failing, what is the probability that it will continue to function for at least another 200 hours? (Enter the answer correct to 2 decimal accuracy.)
Your answer: - Q10MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
- Q11MCQ4 Marks·Choose one option
Metros on a certain station arrives uniformly after every 5 minutes. If a person arrives at the metro station at random, then what is the probability that he has to wait at least 3 minutes?
- A
- B
- C
- D
- A
End Term · 22 Dec 2024 (AN)End Term
- Q12NAT4 Marks·Write the number
A certain type of electronic device has a lifetime that follows an exponential distribution with a mean of 500 hours. If the device has already worked for 400 hours without failing, what is the probability that it will continue to function for at least another 100 hours? (Enter the answer correct to 2 decimal accuracy.)
Your answer: - Q13MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
- Q14MCQ4 Marks·Choose one option
Metros on a certain station arrives uniformly after every 10 minutes. If a person arrives at the metro station at random, then what is the probability that he has to wait at least 4 minutes?
- A
- B
- C
- D
- A