2)(32 points - 24 minutes) The express mail to a large Boston corporation is delivered by three firms: Fad
Express, Percolator, and USP. Based on recent corporate data, 45 percent of the deliveries are made by Fad Express, 20 percent by Percolator, and 35 percent by USP. Even though all three companies guaranteed delivery by 11 A.M., 10 percent of Fad Express' deliveries are late (i.e., arrive after 11 A.M.) and 50 percent of USP's deliveries are late.
a) Given that an express mail delivery arrives on time at this corporation, what is the probability that Fad Express did not deliver it?