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Statistics for Data Science II · End Term · 24 Dec 2023 · September 2023 term · Set FDF1

Question 12: Find the posterior distribution of p for a Uniform [0, 1…

Question 12

+3 marksOne correct option

Let p be the proportion of customers who favor a newly introduced feature in our mobile app. The product team randomly selected 50 customers and asked them if they appreciate the new feature. From the survey, 20 out of the 50 customers responded with a ‘yes.’
Based on the above data, answer the given subquestions.

Find the posterior distribution of p for a Uniform [0, 1] prior.

  1. A

    Beta(20, 30)

  2. B

    Beta(30, 20)

  3. C

    Beta(21, 31)

  4. D

    Beta(31, 21)

Show answer

Correct answer

  • C

    Beta(21, 31)

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Question 12 of 15 in the IIT Madras BS Statistics for Data Science II (Stats 2) End Term paper sat on 24 Dec 2023, in the September 2023 term (IIT M FOUNDATION FN EXAM FDF1 24 Dec 2023). It carries 3 marks.

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