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January 2024 term · Statistical Computing · BSMA3014

Statistical Computing Quiz 1: 25 February 2024 (January 2024 term)

The IIT Madras BS Statistical Computing (Statistical Computing) Quiz 1 paper sat on 25 Feb 2024, in the January 2024 term: 12 questions for 35 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
12
Marks
35
Duration
120 min
MSQ
2
MCQ
8
Numerical
2

Updated

Official paper: IIT M DEGREE AN2 EXAM QDB2 25 Feb 2024 · No negative marking.

Question 1

+2 marksOne or more correct options

Select all that apply.

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

Correct answer

  • B

Question 2

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

Correct answer

  • A

Question 3

+3 marksOne correct option

Which among the following method can be used to sample from the Beta(2, 0.5) distribution?

  1. A

    Ratio of Uniform

  2. B

    Box-Muller transformation

  3. C

    Accept-Reject

  4. D

    All of these

Show answer

Correct answer

  • C

    Accept-Reject

Question 4

+4 marksOne or more correct options

Select all that apply.

  1. A

    c = 1

  2. B

    c = 0.4

  3. C

    c = 0.6

  4. D

    c = 0.7

Show answer

Correct answers

  • A

    c = 1

  • D

    c = 0.7

Question 5

+2 marksOne correct option

Use the following information and answer the given subquestions.

Which among the following will act as the best proposal distribution for sampling from X?

  1. A

    Binomial(2, 0.3)

  2. B

    Binomial(2, 0.7)

  3. C

    Binomial(2, 0.5)

  4. D

    Binomial(2, 0.1)

Show answer

Correct answer

  • B

    Binomial(2, 0.7)

Question 6

+2 marksOne correct option

Use the following information and answer the given subquestions.

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

Correct answer

  • D

Question 7

+3 marksOne correct option

Use the following information and answer the given subquestions.

Construct X with distribution F from U using the inverse transform method.

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

Correct answer

  • B

Question 8

+3 marksNumerical answer

Use the following information and answer the given subquestions.

Suppose using the pseudo random generator, we obtain a realization u = 0.2573 of U and we simulate the random variable X obtained in the previous question. What will be the corresponding realization x of the random variable X? Enter the answer correct to two decimal places.

Show answer

Correct answer: 2.01 (accepted within ±0.02)

Question 9

+4 marksOne correct option

Use the following information and answer the given subquestions.

Which among the following are true?

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

Correct answer

  • C

Question 10

+3 marksNumerical answer

Use the following information and answer the given subquestions.

Find the probability of acceptance for the accept-reject. Enter the answer correct to two decimal places.

Show answer

Correct answer: 0.66 (accepted within ±0.02)

Question 11

+3 marksOne correct option

Study the below code carefully and answer the given subquestions

Which of the following are true about the given code snippet?

  1. A

    Multiple Congruential and Composition method are implemented.

  2. B

    Multiple Congruential and Accept-Reject method are implemented.

  3. C

    Mixed Congruential and Composition method are implemented.

  4. D

    Mixed Congruential and Accept-Reject method are implemented.

Show answer

Correct answer

  • C

    Mixed Congruential and Composition method are implemented.

Question 12

+4 marksOne correct option

Study the below code carefully and answer the given subquestions

Given code snippet generates a random variable X. Find the probability mass function f(x) of X.

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

Correct answer

  • C