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Statistical Computing · Quiz 1 · 25 Feb 2024 · January 2024 term

Question 8: Suppose using the pseudo random generator, we obtain a re…

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.

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Correct answer: 2.01 (accepted within ±0.02)

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Question 8 of 12 in the IIT Madras BS Statistical Computing (Statistical Computing) Quiz 1 paper sat on 25 Feb 2024, in the January 2024 term (IIT M DEGREE AN2 EXAM QDB2 25 Feb 2024). It carries 3 marks.

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  1. Q1Figure question
  2. Q2Figure question
  3. Q3Which among the following method can be used to sample from the Beta(2, 0.5) distribution?
  4. Q4Figure question
  5. Q5Which among the following will act as the best proposal distribution for sampling from X?
  6. Q6Use the following information and answer the given subquestions.
  7. Q7Construct X with distribution F from U using the inverse transform method.
  8. Q9Which among the following are true?
  9. Q10Find the probability of acceptance for the accept-reject. Enter the answer correct to two decimal places.
  10. Q11Which of the following are true about the given code snippet?
  11. Q12Given code snippet generates a random variable X. Find the probability mass function f(x) of X.