Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
BSMA1002 · Statistics for Data Science I
End Term · 22 Dec 2024 (Forenoon)
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.
Read the passage below, then answer Q1–Q2
Based on the above data answer the given subquestions.
Q1MCQ3 Marks·Choose one optionWhat is the difference between the expenditure on Rent and Groceries?
- A₹2000
- B₹2500
- C₹1500
- D₹2700
- Q2MCQ2 Marks·Choose one option
How much money does the family spend on Utilities and Entertainment combined?
- A₹12,000
- B₹12,500
- C₹15,000
- D₹15,200
- Q3MSQ2 Marks·Choose all correct options
Which of the following options is/are incorrect for a variable having ratio scale of measurement?
- ADifference between the values of a variable can not be evaluated.
- BOrder of the data is meaningful.
- CMultiplication and division of values of a variable is possible.
- DIt does not have an absolute zero.
- Q4NAT4 Marks·Write the number
The average of 15 observations is 48. If the average of the first 8 observations is 42 and the average of the last 8 observations is 54, what is the value of the 8th observation?
Your answer: - Q5NAT4 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: Read the passage below, then answer Q6–Q7
A university needs to form a research team of 4 students out of total 8 students.
Based on the above data answer the given subquestions.
Q6NAT2 Marks·Write the numberIn how many ways can the team be formed if two particular students must be included?
Your answer:- Q7NAT2 Marks·Write the number
In how many ways can the team be formed if two particular students must not be included?
Your answer: - Q8NAT3 Marks·Write the number
In how many different ways can the letters of the word “LEADING” be arranged such that the vowels always come together?
Your answer: - Q9NAT2 Marks·Write the number
In a survey of 100 people, 60 like tea, 40 like coffee, and 20 like both tea and coffee. What is the probability that a person chosen at random likes either tea or coffee? [Enter the correct answer up to 1 decimal place]
Your answer: - Q10MSQ3 Marks·Choose all correct options
A jar contains 5 red balls and 7 blue balls. Two balls are drawn without replacement. Let event A be the event that the first ball drawn is red, and event B be the event that the second ball drawn is blue. Which of the following statement(s) is(are) true?
- A
- B
- C
- D
- A
- Q11MSQ3 Marks·Choose all correct options
- A
- B
- C
- D
- A
Read the passage below, then answer Q12–Q13
Based on the above data answer the given subquestions.
Q12MCQ4 Marks·Choose one option
- A15
- B10
- C20
- D12
- Q13NAT2 Marks·Write the number
Your answer: - Q14MCQ3 Marks·Choose one option
If the Indian cricket team has a 60% chance of winning a match, and they play a 5-match series with each match being independent of the others, what is the probability that the team will win at least 4 matches?
- A0.26
- B0.078
- C0.34
- D0.68
- Q15MCQ3 Marks·Choose one option
- A{0,1,2,3,4}
- B{0,1,2,3}
- C{0,1,2}
- D{0,1,2,3,4,5}
- Q16MCQ4 Marks·Choose one option
The number of customers entering in a store follows a Poisson distribution with an average rate of 12 customers per hour. What is the probability that exactly 5 customers will enter the store in a 15- minute period?
- A
- B
- C
- D
- A
- Q17MCQ4 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