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Stats I · End Term · 13 Apr 2025 (Forenoon)

BSMA1002 · 18 questions · 40 marks · 90 min

Answer key Take as mock

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1002 · Statistics for Data Science I

End Term · 13 Apr 2025 (Forenoon)

Official Paper

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.

Q1MCQ1 Mark·Choose one option
Key ↓
A box contains 10 marbles, 6 of which are red and 4 are blue. A sample of 4 marbles is randomly selected without replacement. Let the random variable X represent the number of red marbles in the selected sample. Identify the distribution of X.
1. AHypergeometric
2. BPoisson
3. CBinomial
4. DUniform
Q2MCQ2 Marks·Choose one option
Asked 4 times Key ↓
1. A64
2. B18
3. C16
4. D32
Q3MCQ3 Marks·Choose one option
Key ↓
1. A318240
2. B78000
3. C18720
4. D39000
Q4MCQ3 Marks·Choose one option
Asked 2 times Key ↓
A group of 7 people (A, B, C, D, E, F, G) is to be seated in a row for a photograph. Find the number of possible arrangements such that D and E cannot sit next to each other.
1. A3600
2. B4320
3. C5040
4. D720
Q5MSQ2 Marks·Choose all correct options
Asked 5 times Key ↓
Which of the following option(s) is/are correct for a variable with an ordinal scale of measurement?
1. AThe data can be arranged in a meaningful order.
2. BArithmetic operations like addition and subtraction are valid.
3. CThe intervals between values are equal and meaningful.
4. DThe mode and median can be determined, but not the mean.
Q6NAT2 Marks·Write the number
Asked 2 times Key ↓
Your answer:
Q7NAT2 Marks·Write the number
Asked 3 times Key ↓
Your answer:
Q8NAT3 Marks·Write the number
Asked 4 times Key ↓
A call center receives customer calls and the number of calls received per hour follows a Poisson distribution with a mean rate of 6 calls per hour. What is the probability that at most 2 calls are received in 30 minutes? Enter the answer correct to two decimal places.
Your answer:
Read the passage below, then answer Q9–Q10
Consider a dataset such as 8, 12, 16, 24, and 20. Suppose we multiply all observations by 3. Based on the given information answer the subquestions.
Q9NAT2 Marks·Write the number
Asked 4 times Key ↓
What will be the 25th percentile of the new dataset?
Your answer:
Q10NAT2 Marks·Write the number
Asked 4 times Key ↓
Find IQR of the new dataset.
Your answer:
Read the passage below, then answer Q11–Q12
Based on the above data, answer the given subquestions.
Q11MCQ2 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q12MCQ2 Marks·Choose one option
Key ↓
1. A0.023
2. B0.230
3. C0.346
4. D0.035
Read the passage below, then answer Q13–Q14
Based on the above data, answer the given subquestions.
Q13NAT2 Marks·Write the number
Asked 2 times Key ↓
If the probability that the vendor sells exactly 2 items in a day is 0.30, then find the value of a. Enter the answer correct to two decimal places.
Your answer:
Q14NAT2 Marks·Write the number
Key ↓
What is the probability that the vendor sells at least 2 items in a day? Enter the answer correct to two decimal places.
Your answer:
Read the passage below, then answer Q15–Q16
Based on the above data, answer the given subquestions.
Q15NAT3 Marks·Write the number
Asked 5 times Key ↓
Your answer:
Q16MCQ2 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q17–Q18
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:
Q17NAT2 Marks·Write the number
Key ↓
If 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:
Q18MCQ3 Marks·Choose one option
Asked 4 times Key ↓
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?
1. A
2. B
3. C
4. D

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1A

Q2A

Q3B

Q4A

Q5A, D

Q63.64 to 3.7

Q70.51 to 0.57

Q80.39 to 0.45

Q936

Q1024

Q11B

Q12C

Q130.43 to 0.47

Q140.53 to 0.57

Q1534

Q16B

Q1715

Q18A

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