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September 2024 term · Statistical Computing · BSMA3014

Statistical Computing Quiz 1: 27 October 2024 (September 2024 term)

The IIT Madras BS Statistical Computing (Statistical Computing) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term: 12 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
12
Marks
30
Duration
120 min
MCQ
7
MSQ
1
Numerical
4

Updated

Official paper: IIT M DEGREE AN EXAM QDB2 27 Oct 2024 · No negative marking.

Question 1

+1 markOne correct option

Mixed congruential method fails when seed is set to zero.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 2

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

Correct answer

  • B

Question 3

+2 marksOne correct option
  1. A

    X follows a zero inflated Binomial distribution.

  2. B

    X follows a one inflated Binomial distribution.

  3. C

    X follows a zero inflated Negative binomial distribution.

  4. D

    X follows a one inflated Negative binomial distribution.

  5. E

    None of these

Show answer

Correct answer

  • A

    X follows a zero inflated Binomial distribution.

Question 4

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

Correct answer

  • B

Question 5

+3 marksOne or more correct options

Select all that apply.

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

Correct answers

  • A
  • C

Question 6

+3 marksNumerical answer
Show answer

Correct answer: 0.53 (accepted within ±0.02)

Question 7

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

Correct answer

  • D

Question 8

+1 markNumerical answer

Find the expected number of loops for one acceptance. Enter the answer correct to two decimal places.

Show answer

Correct answer: 1.31 (accepted within ±0.02)

Question 9

+3 marksNumerical answer
Show answer

Correct answer: 0.99 (accepted within ±0.02)

Question 10

+3 marksOne correct option

Based on the above data, answer the given subquestions.

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

Correct answer

  • D

Question 11

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

Using Exp(1) as the proposal distribution for the accept-reject method, find the expected number of loops for an acceptance. Take s = 0.05. Enter the answer correct to two decimal places.

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Correct answer: 20.5 (accepted within ±0.02)

Question 12

+4 marksOne correct option

Based on the above data, answer the given subquestions.

Use ratio-of-uniforms method to find the box [0, a]×[b, c] in which you will enclose the set C for the accept-reject step.

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

Correct answer

  • B