Figure from the original question paper

(D) Option figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

Figure from the passage in the original paper Figure from the passage in the original paper The joint PDF of two continuous random variables\ and\ is given by Figure from the passage in the original paper Based on the above data, answer the given subquestions. Figure from the original question paper Find the marginal density of\ .

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

(D) Option figure from the original question paper

Figure from the original question paper Figure from the original question paper Two fair six-sided dice are thrown simultaneously. Let\ be the outcome on the first die and be Figure from the original question paper the outcome on the second die. Define a new random variable\ . Find the value of Figure from the original question paper .

(D) Option figure from the original question paper

(A) Option figure from the original question paper

(B) Option figure from the original question paper

(C) Option figure from the original question paper

September 2025 term · Statistics for Data Science II · BSMA1004

Statistics for Data Science II Quiz 2: 23 November 2025 (September 2025 term)

The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 2 paper sat on 23 Nov 2025, in the September 2025 term: 21 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: 21
Marks: 40
Duration: 120 min
Numerical: 16
MCQ: 4
MSQ: 1

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M DIPLOMA AN EXAM QDD2 23 Nov 2025 NEW · No negative marking.

Question 1

+3 marksNumerical answer

Show answer

Correct answer: 0.125 (accepted within ±0.001)

Question 1 on its own page

Question 2

+0.5 marksNumerical answer

Show answer

Correct answer: 2

Question 2 on its own page

Question 3

+0.5 marksNumerical answer

Show answer

Correct answer: 3

Question 3 on its own page

Question 4

+0.5 marksNumerical answer

Show answer

Correct answer: 7

Question 4 on its own page

Question 5

+0.5 marksNumerical answer

Show answer

Correct answer: 5

Question 5 on its own page

Question 6

+0.5 marksNumerical answer

Show answer

Correct answer: 12

Question 6 on its own page

Question 7

+0.5 marksNumerical answer

Show answer

Correct answer: 9

Question 7 on its own page

Question 8

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the probability that the operational cost is less than ₹90. Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.75 (accepted within ±0.01)

Question 8 on its own page

Question 9

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following is the correct PDF of Y ?

Show answer

Correct answer

Question 9 on its own page

Question 10

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the value of
Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.2

Question 10 on its own page

Question 11

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

What is the value of
Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.6

Question 11 on its own page

Question 12

+3 marksNumerical answer

Show answer

Correct answer: 0.15 (accepted within ±0.01)

Question 12 on its own page

Question 13

+3 marksOne correct option

Show answer

Correct answer

Question 13 on its own page

Question 14

+2 marksOne correct option

The joint PDF of two continuous random variables
and
is given by

Based on the above data, answer the given subquestions.

Find the marginal density of
.

Show answer

Correct answer

Question 14 on its own page

Question 15

+3 marksNumerical answer

The joint PDF of two continuous random variables
and
is given by

Based on the above data, answer the given subquestions.

Find the value of
.

Show answer

Correct answer: 4

Question 15 on its own page

Question 16

+3 marksOne correct option

Two fair six-sided dice are thrown simultaneously. Let
be the outcome on the first die and be

the outcome on the second die. Define a new random variable
. Find the value of

Show answer

Correct answer

Question 16 on its own page

Question 17

+3 marksOne or more correct options

Based on the above data, answer the given subquestions.

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

Select all that apply.

Show answer

Correct answers

Question 17 on its own page

Question 18

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Using the Central Limit Theorem, find the approximate probability that the total number of

subjects taken by all
students is less than
.
Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.24 (accepted within ±0.03)

Question 18 on its own page

Question 19

+2 marksNumerical answer

Let
i.i.d Uniform
. Suppose
is the sample mean.
Based on the above data, answer the given subquestions.

Find the value of
.Enter the answer correct to one decimal place.

Show answer

Correct answer: 0.5

Question 19 on its own page

Question 20

+2 marksNumerical answer

Let
i.i.d Uniform
. Suppose
is the sample mean.
Based on the above data, answer the given subquestions.

Find the value of Var
. Enter the answer correct to three decimal places.

Show answer

Correct answer: 0.014 (accepted within ±0.003)

Question 20 on its own page

Question 21

+1 markNumerical answer

Let
i.i.d Uniform
. Suppose
is the sample mean.
Based on the above data, answer the given subquestions.

Find
.

Show answer

Correct answer: 0

Question 21 on its own page