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

You spin the spinner shown below once. each sector shown has an equal area. what is p(beaver ) p(beaver)? if necessary, round your answer to 2 2 decimal places.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

Match the scale and the actual area to the area of the corresponding scale drawing. scale: 1 inch to 4 feet actual area: 128 square feet scale: 1 inch to 7 feet actual area: 147 square feet scale: 1 inch to 8 feet actual area: 256 square feet scale: 1 inch to 5 feet actual area: 225 square feet area of scale drawing scale and actual area scale drawing area: 3 square inches arrowright scale drawing area: 8 square inches arrowright scale drawing area: 4 square inches arrowright scale drawing area: 9 square inches arrowright