May 2025 term · Statistical Computing · BSMA3014

Statistical Computing Quiz 1: 13 July 2025 (May 2025 term)

The IIT Madras BS Statistical Computing (Statistical Computing) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term: 13 questions for 30 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: 13
Marks: 30
Duration: 120 min
MCQ: 5
MSQ: 3
Numerical: 5

Take as mock test Practise with answers

Updated 25 Sept 2026

Official paper: IIT M DEGREE AN EXAM QDB2 13 July 2025 · No negative marking.

Question 1

+2 marksOne correct option

A
We consider these values as i.i.d U (0, 1) because the histogram shows an almost perfect uniform distribution.
B
The trace plot shows that the generated random values are not independent.
C
The trace plot shows that the generated random values are independent.
D
We consider these values as i.i.d. U (0, 1) because the trace plot shows a random pattern.

Show answer

Correct answer

B
The trace plot shows that the generated random values are not independent.

Question 1 on its own page

Question 2

+2 marksOne or more correct options

Select all that apply.

A
B
C
D

Show answer

Correct answers

B
C

Question 2 on its own page

Question 3

+3 marksOne or more correct options

Select all that apply.

A
B
C
D

Show answer

Correct answers

A
C

Question 3 on its own page

Question 4

+4 marksNumerical answer

Show answer

Correct answer: 1

Question 4 on its own page

Question 5

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the probability of acceptance for U[0, 2] as a proposal distribution. Enter the answer correct to two decimal places.

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Correct answer: 0.33 (accepted within ±0.03)

Question 5 on its own page

Question 6

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the expected number of loops for an acceptance when U[0, 1] is considered as a proposal distribution. Enter the answer correct to one decimal place.

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Correct answer: 1.5

Question 6 on its own page

Question 7

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Which proposal distribution would be a better choice?

A
U [0, 1] is better since it gives a larger value of c than U [0, 2].
B
U [0, 2] is better since it gives a smaller value of c than U [0, 1].
C
U [0, 1] is better since it gives a smaller value of c than U [0, 2].
D
Both proposal distributions are equally effective.

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Correct answer

C
U [0, 1] is better since it gives a smaller value of c than U [0, 2].

Question 7 on its own page

Question 8

+3 marksOne correct option

What will be the distribution function of X?

A
B
C

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Correct answer

B

Question 8 on its own page

Question 9

+2 marksOne correct option

A
B
C
D

Show answer

Correct answer

B

Question 9 on its own page

Question 10

+1 markNumerical answer

What is the value of P(X = 2)? Enter the answer correct to two decimal places.

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Correct answer: 0.15

Question 10 on its own page

Question 11

+2 marksOne or more correct options

Choose the correct options from the following. Select all that apply.

Select all that apply.

A
B
C
D

Show answer

Correct answers

B
C

Question 11 on its own page

Question 12

+2 marksOne correct option

Identify the target distribution.

A
Normal(0, 1)
B
Cauchy distribution
C
t-distribution with 2 degrees of freedom
D
t-distribution with 3 degrees of freedom

Show answer

Correct answer

C
t-distribution with 2 degrees of freedom

Question 12 on its own page

Question 13

+2 marksNumerical answer

Find the estimate of the probability of acceptance using the given code. Enter the answer correct to three decimal places.

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Correct answer: 0.29 (accepted within ±0.002)

Question 13 on its own page