Suppose that a bayesian spam filter is trained on a set of 500 spam messages and 200 messages that are not spam. the word "exciting" appears in 40 spam messages and in 25 messages that are not spam. what is the probability that an incoming message containing the word "exciting" is spam

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

It says factor each expression completely 8y+48

Astore has clearance items that have been marked down by 60%. they are having a sale, advertising an additional 55% off clearance items. what percent of the original price do you end up paying?