At First Street Towers, an equal num-ber of students live on each floor. On floors 1, 2,

Question:

At First Street Towers, an equal num-ber of students live on each floor. On floors 1, 2, 3, 4, 5, the percentage of students who study engineering are, respectively, 80%, 52%, 74%, 67%, and 29%. Upon meeting an Engineering student who lives in First Street Towers, what is the probability that the student lives on the 4th floor?