The Вayes decision functions d;(x) = p(x|w;) p(w;), j = 1, 2, ... w; were derived using a 0 - 1 loss function. Prove %3D that these decision functions minimize the probability of error. Find p(c) and show that p(c) is maximum, when p(x|w;) p(w;) is maximum. Assume that the probability of error p(e) is 1 - p(c) where p(c) is probability of being correct and for a pattern vector x belonging to class W¡, p(c|x) = p(w;|x).

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A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 777 randomly selected fatal bicycle accidents occurred. At. α=0.10​, can you reject the claim that the distribution is​uniform? Complete parts a through d below.

The loss amount, X, for a medical insurance policy has cumulative distribution function: for x 4 Calculate the mode of the distribution.