This exercise uses a collection containing responses by Ontario youths (ages 10-13) to a survey as part of a long-term study conducted from 1994 through 1999.^( 5) The question was asked: "How do you feel about school?" The table summarizes the results. Male (M) Female ( F) Total I hate school (A) 17 37 54 don't like very much (B) 35 64 99 like a bit (C) 103 138 241 like quite a bit (D) 177 169 346 like very much (E) 180 109 289 Total 512 517 1029 If one individual is drawn at random from this group, find the following probabilities: a. P(A) b. P(G) c. P( A cap F) d. P( F |A) e. P( F |B) f. P( F |C) g. P( C |M) h. P(B ^(()) c)