Question 1
Based on the above data answer the given subquestions.
What is the difference between the expenditure on Groceries and Utilities?
₹20000
₹12500
₹15000
₹27000
Stats 1 End Term: 22 December 2024, Set QDF3 (September 2024 term)
The IIT Madras BS Statistics for Data Science I (Stats 1) End Term paper sat on 22 Dec 2024, in the September 2024 term, set QDF3: 17 questions for 50 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 17
- 50
- 180 min
- 7
- 3
- 7
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Correct answer
₹12500
Question 2
Based on the above data answer the given subquestions.
How much money does the family spend on Rent and Utilities combined?
₹25,000
₹27,500
₹27,000
₹28,000
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Correct answer
₹27,500
Question 3
Which of the following options is/are incorrect for a variable having ratio scale of measurement?
Difference between the values of a variable can not be evaluated.
Order of the data is meaningful.
Multiplication and division of values of a variable is possible.
It does not have an absolute zero.
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Correct answers
Difference between the values of a variable can not be evaluated.
It does not have an absolute zero.
Question 4
The average of 15 observations is 45. If the average of the first 8 observations is 41 and the average of the last 8 observations is 53, what is the value of the 8th observation?
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Correct answer: 77
Question 5
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.)
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Correct answer: 0.82 (accepted within ±0.03)
Question 6
A university needs to form a research team of 4 students out of total 9 students.
Based on the above data answer the given subquestions.
In how many ways can the team be formed if two particular students must be included?
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Correct answer: 21
Question 7
A university needs to form a research team of 4 students out of total 9 students.
Based on the above data answer the given subquestions.
In how many ways can the team be formed if two particular students must not be included?
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Correct answer: 35
Question 8
In how many different ways can the letters of the word “READING” be arranged such that the vowels always come together?
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Correct answer: 720
Question 9
In a survey of 120 people, 70 like tea, 50 like coffee, and 30 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]
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Correct answer: 0.75 (accepted within ±0.03)
Question 10
A jar contains 6 red balls and 8 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?
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Correct answers
Question 11
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Correct answers
Question 12
Based on the above data answer the given subquestions.
15
10
20
12
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Correct answer
10
Question 13
Based on the above data answer the given subquestions.
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Correct answer: 1.04 (accepted within ±0.03)
Question 14
If the Indian cricket team has a 65% 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?
0.31
0.12
0.43
0.57
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Correct answer
0.43
Question 15
{0,1,2,3,4}
{0,1,2,3}
{0,1,2}
{0,1,2,3,4,5}
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Correct answer
{0,1,2,3,4}
Question 16
The number of customers entering in a store follows a Poisson distribution with an average rate of 8 customers per hour. What is the probability that exactly 5 customers will enter the store in a 15- minute period?
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Correct answer
Question 17
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?
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Correct answer