IITM BS Question 6 - Week 9 Practice

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IITM BS Question 6 - Week 9 Practice | Prasnya

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Q6Comprehension3 Marks10 May 2026

Passage

Let

X

be a discrete random variable with probability mass function:

P(X = x) = \binom{3}{x}\theta^x(1-\theta)^{3-x}, \quad x = 0,1,2,3

Consider the random sample

\{1, 2, 1, 2\}

. Assume that the prior distribution of

\theta

is uniform on

(0,1)

. Based on the above data, answer the given subquestions.

Find the posterior mean of

\theta

using the given prior distribution. Enter the answer correct to one decimal place.

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00:00

10 May 2026

Statistics 2 · Week 9

Q6.Find the posterior mean of

\theta

using the given prior distribution. Enter the answer correct to one decimal place.@passage

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