Question: A prediction detection algorithm returns a value that describes the similarity of the tested data to the ground truth in the database. The value for

A prediction detection algorithm returns a value that describes the similarity of the tested data to the ground truth in the database. The value for a match can be modelled as a Gaussian random variable with a mean of 1 and variance of 0.04. Non-match value can be modeled as a Gaussian random variable with a mean of 0 and variance of 0.2. a. The algorithm returned a value of 0.6. What is the probability that this value was generated as a result of match between test data and database data? b. Sometimes, this type of classification problem is simplified to a threshold value for match and non-match. Find the threshold value for which the probability of a false accept error is equal to false reject error. (??? = ???)

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