An e-mail filter is planned to separate valid e-mails from spam. The word f ree occurs in 60% of the spam messages and only 4% of the valid messages. Also, 20% of the messages are spam. Find the probability that the message is valid given that it does not contain the word f ree.

What are the solutions of the equation? 16x^2 + 24x + 5 = 5 a. 1/4, 5/4 b. -1/4, -5/4 c. -1/4, 5/4 d. 1/4 , -5/4

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.

Complete the input-output table for the linear function y = 3x. complete the input-output table for the linear function y = 3x. a = b = c =