Let us now assume that there was a prior information that states that the true distance r isGaussian distributed with mean ī = 7 m and standard deviation ơo = 1 cm.%3D 1. Derive a Bayesian estimator (MAP estimator) that canincorporate this new information. 2. What is the new estimate of the distance bases on the measurements that you simulatedabove? 3. What is the bias and variance of the MAP estimator? 4. Is the MAP estimator consistent and efficient? explain using the simulated data.

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