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Q. I Let X be a random variable uniformly distributed over the interval [O, Bl. The parameter e is unknown and is modelled as

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Q. I Let X be a random variable uniformly distributed over the interval [O, Bl. The parameter e is unknown and is modelled as the value of a continuous random variable e, uniformly distributed between O and I. 2. 4. Given an observation x of X , find the posterior distribution of e, (e x). Find the MAP estimate of based on the observation X x. Find the LMS estimate of based on the observation X x. Find the linear LMS estimator of based on X.

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