In the previous question, what is the probability that a target is present, given that the sensor indicates that it is present? Prove the recursive Bayesian updating equation. That is, prove that...

In the previous question, what is the probability that a target is present, given that the sensor indicates that it is present? Prove the recursive Bayesian updating equation. That is, prove that P(x|z1 ,...,zn−1 ,zn) = P(zn|x,z1,...zn−1)P(x|z1,...,zn−1) P(zn,z1,...,zn−1) . Hint: Define A = x, B = z1,...,zn−1, and C = zn, and use the definition of conditional probability.

Dec 17, 2021
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