Question:

Let 2.5, -1.0, 0.5, 1.5 be the observed values of a random sample of size 4 from a continuous distribution with the probability density function
\(f(x)=\frac{1}{8}e^{-|x-2|}+\frac{3}{4\sqrt{2\pi}}e^{-\frac{1}{2}(x-\theta)^2},\ \ x \in \R,\)
where θ ∈ \(\R\) is unknown. Then the method of moments estimate of θ equals __________ (round off to 2 decimal places)

Updated On: Oct 1, 2024
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Correct Answer: 0.48

Solution and Explanation

The correct answer is 0.48 to 0.52.(approx)
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