IITM BS Question 44 - Week 7 Practice

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IITM BS Question 44 - Week 7 Practice | Prasnya

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Q44Comprehension3 Marks11 Dec 2022

Passage

The density function of a continuous random variable

X

is given by

f_X(x) = \begin{cases} \frac{2}{\theta^2}(\theta - x) & \text{for } 0 < x < \theta \\ 0 & \text{otherwise} \end{cases}

where

\theta > 1

. Consider a random sample

(1, 0, 1, 0, 0)

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

Find the maximum likelihood estimate of

\theta

for the given sample. Enter the answer correct to one decimal place.

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Q44

00:00

11 Dec 2022

Statistics 2 · Week 7

Q44.Find the maximum likelihood estimate of

\theta

for the given sample. Enter the answer correct to one decimal place.@passage

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