Answer:
the probability is 0.28
Step-by-step explanation:
using Bayes's theorem
P(A|B)=P(A∩B)/P(B)
where
P(A∩B) = probability that events A and B happen
P(A|B) = probability that event A happen if B already happened
P(B)= probability of event B
therefore
P(A∩B)=P(A|B)*P(B)
if event A= selection of a student that lives in a dormitory and event B = selection of a freshmen student
P(A|B) = 0.8 (live in a dormitory knowing that is a freshmen student )
P(B) = 0.35 (freshmen student)
P(A∩B)=P(A|B)*P(B) = 0.8* 0.35 =0.28