Problem 4 The weatherman's record in a given city is given in the table below, the numbers indicating the relative frequency of the indicated event. l Actual Prediction l Rain No Rain Rain | 1/8 3/15 No Rain l 1/16 10/16 A clever student notices that the weatherman is right only 12/16 of the time but could be right 13/16 of the time by always predicting no rain. The student explains the situation and applies for the weatherman's job, but the weatherman's boss, who is an information theorist, turns him down. Why