64. At a large university, in the never-ending quest for a satisfactory textbook, the Statistics Department has tried a different text during each of the last three quarters. During the fall quarter, 500 students used the text by Professor Mean; during the winter quarter, 300 students used the text by Professor Median;

and during the spring quarter, 200 students used the text by Professor Mode. A survey at the end of each quarter showed that 200 students were satis ed with Mean s book, 150 were satis ed with Median s P1A 0 B ¨ C2, book, and 160 were satis ed with Mode s book. If a student who took statistics during one of these quarters is selected at random and admits to having been satis ed with the text, is the student most likely to have used the book by Mean, Median, or Mode?

Who is the least likely author? (Hint: Draw a treediagram or use Bayes theorem.)