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May 2025 term · Statistics for Data Science II · BSMA1004

Statistics for Data Science II Quiz 1: 13 July 2025 (May 2025 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term: 16 questions for 40 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.

Questions
16
Marks
40
Duration
120 min
MCQ
6
Numerical
9
MSQ
1
Take as mock testPractise with answers

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD2 13 July 2025 · No negative marking.

Question 1

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 1 on its own page

Question 2

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 2 on its own page

Question 3

+3 marksNumerical answer

The time (in minutes) a customer spends inside a service center follows an exponential distribution with an average of 10 minutes. What is the probability that a customer has to wait at least 12 more minutes in the center given that he has already spent 10 minutes in the center? Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.3 (accepted within ±0.03)

Question 3 on its own page

Question 4

+3 marksNumerical answer
Show answer

Correct answer: 0.6 (accepted within ±0.2)

Question 4 on its own page

Question 5

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Calculate the value of Var*(X)*.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C
Question 5 on its own page

Question 6

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 1152

Question 6 on its own page

Question 7

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following expressions correctly represents the event that an arriving patient cannot be treated?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 7 on its own page

Question 8

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.815 (accepted within ±0.003)

Question 8 on its own page

Question 9

+2 marksOne correct option

Based on the above data, answer the given subquestions.

What are the values of a, b, c ?

  1. A

    a = 0.15, b = 0.65, c = 0.25

  2. B

    a = 0.25, b = 0.65, c = 0.25

  3. C

    a = 0.15, b = 0.75, c = 0.25

  4. D

    None of these

Show answer

Correct answer

  • A

    a = 0.15, b = 0.65, c = 0.25

Question 9 on its own page

Question 10

+3 marksOne or more correct options

Based on the above data, answer the given subquestions.

Which of the following option(s) is/are correct ?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D
Question 10 on its own page

Question 11

+2 marksNumerical answer

A package delivery time T (in hours) is uniformly distributed over the interval [a, b]. It is known that the probability that the delivery takes less than 5 hours is equal to the probability that it takes more than 11 hours.
Based on the above data, answer the given subquestions.

Find the value of a + b.

Show answer

Correct answer: 16

Question 11 on its own page

Question 12

+3 marksNumerical answer

A package delivery time T (in hours) is uniformly distributed over the interval [a, b]. It is known that the probability that the delivery takes less than 5 hours is equal to the probability that it takes more than 11 hours.
Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.57 (accepted within ±0.03)

Question 12 on its own page

Question 13

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the expected payment that the designer earns for a randomly chosen project?

Show answer

Correct answer: 11450

Question 13 on its own page

Question 14

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0.763 (accepted within ±0.003)

Question 14 on its own page

Question 15

+1 markOne correct option

Based on the above data, answer the given subquestions.

  1. A

    1.5

  2. B

    0.5

  3. C

    1

  4. D

    0.33

Show answer

Correct answer

  • C

    1

Question 15 on its own page

Question 16

+4 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the correlation coefficient between U and V . Enter the answer correct upto two decimal places.

Show answer

Correct answer: 0.71 (accepted within ±0.03)

Question 16 on its own page