IITM BS Question 37 - Week 7 Practice

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IITM BS Question 37 - Week 7 Practice | Prasnya

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Q37Comprehension2 Marks30 Apr 2023

Passage

Based on the above data, answer the given subquestions. The density function of a continuous random variable

X

is given by

f_X(x) = \begin{cases} \frac{1 + \theta x}{2}, & -1 < x < 1, \\ 0, & \text{otherwise,} \end{cases}

where

-1 < \theta < 1

Consider a random sample

(-0.2, 0.3, 0.7, -0.6, 0.1)

. Find the method of moments estimate of

\theta

for the given sample. Enter the answer correct to two decimal places.

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Q37

00:00

30 Apr 2023

Statistics 2 · Week 7

Q37.Consider a random sample

(-0.2, 0.3, 0.7, -0.6, 0.1)

. Find the method of moments estimate of

\theta

for the given sample. Enter the answer correct to two decimal places.@passage

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