l. (60 points) Using the following sets, we run a trial which selects exactly one word from each set. Within each set, all words are equally likely. A = { monkey, donkey, yak, kangaroo, aardvark, antelope, puma, cheetah } B = { whale, shark, dolphin, eel } Let E be the event that either of the words contain a 'y' Let F be the event that both words contain an 'e' Let G be the event that both words contain the same number of letters Let H be the event that either (or both) of the words contains more than two vowels { a e i o u }. This count includes repeated uses of the same vowel. a. Give values for the following (FC denotes the complement of event F): P(E) P(F) P(G) P(H) P(E U H) P(F n H) P(E n F n G) P(H U G) P(H n F5) b. Place a letter 'X' in the table corresponding to the events that are mutually exclusive. Place a letter '1' in the table corresponding to the events that are independent. H G F