Question 1
+2 marksOne or more correct optionsSelect all that apply.
- A
- B
- C
- D

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.
Correct answer
Correct answer
Which among the following method can be used to sample from the Beta(2, 0.5) distribution?
Ratio of Uniform
Box-Muller transformation
Accept-Reject
All of these
Correct answer
Accept-Reject
c = 1
c = 0.4
c = 0.6
c = 0.7
Correct answers
c = 1
c = 0.7
Use the following information and answer the given subquestions.
Which among the following will act as the best proposal distribution for sampling from X?
Binomial(2, 0.3)
Binomial(2, 0.7)
Binomial(2, 0.5)
Binomial(2, 0.1)
Correct answer
Binomial(2, 0.7)
Use the following information and answer the given subquestions.
Correct answer
Use the following information and answer the given subquestions.
Construct X with distribution F from U using the inverse transform method.
Correct 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.
Correct answer: 2.01 (accepted within ±0.02)
Use the following information and answer the given subquestions.
Which among the following are true?
Correct 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.
Correct answer: 0.66 (accepted within ±0.02)
Study the below code carefully and answer the given subquestions
Which of the following are true about the given code snippet?
Multiple Congruential and Composition method are implemented.
Multiple Congruential and Accept-Reject method are implemented.
Mixed Congruential and Composition method are implemented.
Mixed Congruential and Accept-Reject method are implemented.
Correct answer
Mixed Congruential and Composition method are implemented.
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.
Correct answer