4) A Hollywood studio is about to release a movie. On the basis of their past experience, the studio executives feel there is a 30 percent chance the movie will be a financial success. The executives also know that a particular reviewer liked 90 percent of those movies that were financial successes. On the other hand, that reviewer disliked 80 percent of the movies that were not financial successes.

a) If the studio executives find out that the reviewer liked the movie, how does this information change their assessment of the likelihood the movie will be a financial success?

b) If the reviewer disliked the movie, what is the likelihood that the movie will not be a financial success?