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

BSMA1002 · 17 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 (Afternoon)

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.

Q1MCQ2 Marks·Choose one option
Asked 2 times Key ↓
1. A21.5
2. B20
3. C5.38
4. D5
Q2MCQ3 Marks·Choose one option
Asked 3 times Key ↓
1. A0.15
2. B0.25
3. C0.75
4. D0.10
Q3MSQ2 Marks·Choose all correct options
Key ↓
Consider the following statements related to permutation and combination. Which of the following is/are true?
1. A
2. B
3. C
4. D
Q4MSQ2 Marks·Choose all correct options
Asked 3 times Key ↓
A surveyor collects data on the electricity bills of 100 randomly selected households in a particular month. Which of the following statements about this data is/are correct?
1. AThe electricity bill in rupees is a continuous variable.
2. BThe data collected represents cross-sectional data.
3. CThe electricity bill in rupees is a categorical variable.
4. DThe data collected represents time-series data.
Q5MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
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?
1. A
2. B
3. C
4. D
Q6NAT2 Marks·Write the number
Asked 3 times Key ↓
Your answer:
Q7NAT3 Marks·Write the number
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. The following conditions must be satisfied: • A and B must always sit next to each other. • D and E cannot sit next to each other. What is the total number of valid arrangements under these conditions?
Your answer:
Q8NAT3 Marks·Write the number
Asked 3 times Key ↓
At a university, 60% of the students are enrolled in science programs, while 40% are enrolled in arts programs. Among science students, 25% participate in research projects, whereas 15% of arts students participate in research project. If a student is chosen at random, what is the probability that he/she participates in a research project? Enter the answer correct to two decimal places.
Your answer:
Q9NAT3 Marks·Write the number
Asked 5 times Key ↓
The total number of observations in a dataset is 8. If the mean of first 4 observations is 12 and the mean of all 8 observations is 18, then find the mean of last 4 observations.
Your answer:
Read the passage below, then answer Q10–Q11
A shopping mall conducted a survey among 150 customers to study the relationship between age group and preferred payment method (Cash or Digital). The collected data is shown in the table Q.1:
Based on the above data, answer the given subquestions.
Q10NAT2 Marks·Write the number
Key ↓
What proportion of the total customers prefer digital payments? Enter the answer correct to two decimal places.
Your answer:
Q11NAT1 Mark·Write the number
Key ↓
How many customers of age between 18 to 45 prefer cash payment?
Your answer:
Read the passage below, then answer Q12–Q13
The probability mass function of a discrete random variable X is given by,
Based on the above data, answer the given subquestions.
Q12MCQ2 Marks·Choose one option
Asked 5 times Key ↓
Find the value of E(6X − 2).
1. A1
2. B4
3. C6
4. D8
Q13NAT2 Marks·Write the number
Asked 4 times Key ↓
Find the value of V (3X − 4).
Your answer:
Read the passage below, then answer Q14–Q15
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.
Q14NAT2 Marks·Write the number
Key ↓
Your answer:
Q15MCQ3 Marks·Choose one option
Asked 4 times Key ↓
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?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q16–Q17
A small game involves spinning a wheel that has an equal chance of landing on one of four colors: Red, Blue, Green, or Yellow. Let the random variable X represent the number of times the wheel lands on Red in three independent spins.
Based on the above data, answer the given subquestions.
Q16MCQ3 Marks·Choose one option
Asked 3 times Key ↓
Find probability that the wheel lands on red exactly 2 times out of the three spins.
1. A
2. B
3. C
4. D
Q17NAT2 Marks·Write the number
Asked 2 times Key ↓
Find the value of E(X). Enter the answer correct to two decimal places.
Your answer:

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1D

Q2D

Q3A, D

Q4A, B

Q5A, B, D

Q635

Q7960

Q80.18 to 0.24

Q924

Q100.54 to 0.6

Q1145

Q12B

Q1318

Q1450

Q15B

Q16A

Q170.73 to 0.77

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