1. In the two-category case, under the Bayes' decision rule the conditional erroris given by Eq. 7. Even if the posterior densities are continuous, this form of theconditional error virtually always leads to a discontinuous integrand when calculatingthe full error by Eq. 5.(a) Show that for arbitrary densities, we can replace Eq. 7 by P(error | x) = 2P(ω1 | x)P(ω2 | x)in the integral and get an upper bound on the full error.(b) Show that if we use P(error | x) = α P(ω1 | x)P(ω2 | x) for α 1, th
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