The editor of a textbook publishing company is trying to decide whether to publish a proposed business statistics textbook. Information on previous textbooks published indicates that 20% are successes, 50% are break even, and 30% are loser. However, before a publishing decision is made, the book will be reviewed. In the past, 70% of the successes received favorable reviews, 50% of the break even books received favorable reviews, and 30% of the losers received favorable reviews.
(1) If the proposed textbook receives a favorable review, what is the probability that it will be a success?
(2) What proportion of textbook receives favorable reviews?