Question 1
How many 3-digit numbers can be made using only 2 different digits taken from 1 to 9? (Repetition of digits are allowed )
288
72
144
216
Statistics for Data Science I Quiz 2: 2 April 2023 (January 2023 term)
The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 2 Apr 2023, in the January 2023 term: 12 questions for 50 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 12
- 50
- 120 min
- 7
- 5
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Correct answer
216
Question 2
The number of whole numbers (starting from zero) smaller than 10⁴of which all the digits are distinct are
5274
5275
3275
4698
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Correct answer
5275
Question 3
In a building with five floors (excluding the ground floor), an elevator starts with four people at the ground floor. Each person is equally likely to leave the lift on any floor except the ground floor. What is the probability that two get off at one floor and two get off at another.
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Correct answer
Question 4
How many 9’s are there between 1 to 1000?
301
300
299
297
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Correct answer
300
Question 5
How many four-digit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
100
150
125
75
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Correct answer
125
Question 6
Two dice are rolled once. The probability of getting an odd number at the first die or a total of 7 is
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Correct answer
Question 7
Consider a dataset -2, -3, 4, 6, 10. What is the value of IQR for the given dataset?
3
9
12
8
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Correct answer
9
Question 8
Tickets numbered from 1 to 100 are mixed up, and then a ticket is drawn at random. What is the probability that the ticket drawn has a number multiple of 3 or 5 or 7? (Enter the answer correct to 2 decimal accuracy)
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Correct answer: 0.55 (accepted within ±0.02)
Question 9
The following table shows the interest of the engineering students on Core and software skills. Find the probability that a student is interested in Software skills, given that the student is male. (Enter the answer correct to 2 decimal accuracy)
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Correct answer: 0.17 (accepted within ±0.03)
Question 10
Parcels from Sender “S” to receiver “R” pass sequentially through two post offices. First post office has probability 1/8 of losing an incoming parcel, and second post office has probability 1/5 of losing an incoming parcel, independently of all the other parcels. Given that the parcel is lost, find the probability that it was lost by the second post office? (Enter the answer correct to 2 decimal accuracy)
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Correct answer: 0.58 (accepted within ±0.03)
Question 11
If the probability of rain in rainy season on any given day in Cherrapunji is 50 percent independent of other day, what is the probability that it rains on exactly 3 days in a 6-day period? (Enter the answer correct to 2 decimal accuracy)
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Correct answer: 0.315 (accepted within ±0.035)
Question 12
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Correct answer: 56