For purposes of making on-campus housing assignments, a college classifies its students as Seniors, Juniors, and Underclassmen. Of the students who choose to live on campus, 10% are Seniors, 20% are Juniors, and the rest are Underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 60% of the Seniors elect to live there. 15% of the Juniors also live there, along with only 5% of the Underclassmen.Round your answers to three decimal places.

a.Create a tree diagram for the scenario above.(4 points)

b.What is the probability that a randomly selected resident is aSeniorgiven they live in the Gold dorm? (2 points)