IITM BS Question 9 - Week 9 Practice

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IITM BS Question 9 - Week 9 Practice | Prasnya

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Q9Comprehension2 Marks13 Apr 2025

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A research team is analyzing customer complaints per day for a new service. The number of complaints X follows a Poisson distribution with an unknown average rate

\lambda

. The number of complaints observed over a period of 10 days are as follows: 3, 5, 2, 4, 6, 3, 4, 7, 5, 4. The team aims to estimate

\lambda

using two different methods: Maximum Likelihood Estimation (MLE) and Bayesian Estimation. Based on the above data, answer the given subquestions.

Assume the prior distribution of

\lambda

to be Gamma(3, 2). Determine the posterior distribution of

\lambda

00:00

13 Apr 2025

Statistics 2 · Week 9

Q9.Assume the prior distribution of

\lambda

to be Gamma(3, 2). Determine the posterior distribution of

\lambda

.@passage

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