Statistics for Data Science II · End Term · 14 Sept 2025 · May 2025 term · Set 1

Question 14: Determine the posterior distribution of .

Question 14

+3 marksOne correct option

A factory manufactures light bulbs, and each bulb has a probability of being defective. To estimate this probability using Bayesian methods, assume the prior distribution of to be Beta(3, 3). A quality inspector tests 12 independent bulbs. If 5 bulbs are found to be defective, answer the given subquestions.

Determine the posterior distribution of .

A
Beta
B
Beta
C
Beta
D
Beta

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Correct answer

D
Beta

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Question 14 of 27 in the IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 14 Sept 2025, in the May 2025 term (Statistics2 14 Sep 25 (Session 2)). It carries 3 marks.

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