IITM BS Question 15 - Week 9 Practice

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IITM BS Question 15 - Week 9 Practice | Prasnya

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Q15Comprehension2 Marks28 Apr 2024

Passage

Based on the given data, answer the following subquestions: Let

X

be a discrete random variable taking values

\{1, 3, 5\}

with respective probabilities:

\left\{ \frac{\theta}{2}, 1-\theta, \frac{\theta}{2} \right\}

where

0 \le \theta \le 1

is an unknown parameter. Consider the samples

\{1, 1, 5, 3, 5, 3, 3, 1, 1, 5\}

from

X

. Assume the prior distribution of

\theta

to be

\text{Beta}(5, 6)

Find the posterior mean. Enter the answer correct to two decimal places.

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Q15

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28 Apr 2024

Statistics 2 · Week 9

Q15.Find the posterior mean. Enter the answer correct to two decimal places.@passage

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