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Statistics for Data Science II · End Term · 13 Apr 2025 · January 2025 term · Set QDF1

Question 6: Using the prior distribution and the observed data, compu…

Question 6

+1 markOne correct option

A software company is analyzing the bug reports for their newly developed application. Some bug reports identify a critical bug in the application. To estimate the probability p of a bug report identifying a critical bug, they collect a random sample of 200 bug reports, and find that 50 are classified as critical. The company adopts a Bayesian approach with a Beta distribution as the prior for p.
Based on the above data, answer the given subquestions.

Using the prior distribution and the observed data, compute the posterior distribution of p.

  1. A

    Beta(50.4, 154.6)

  2. B

    Beta(1.4, 5.6)

  3. C

    Beta(5.6, 1.4)

  4. D

    Beta(51.4, 155.6)

Show answer

Correct answer

  • D

    Beta(51.4, 155.6)

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Question 6 of 17 in the IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 13 Apr 2025, in the January 2025 term (IIT M FOUNDATION FN EXAM QDF1 13 Apr 2025). It carries 1 mark.

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