Lourence Gonhovi, Numerade Educator

09:45

Calculus 2 / BC

My smart phone generates "memories" from photo albums saved on the cloud (complete with sentimental, but not always compatible, music). One album of a recent trip to Antelope Island contains 50 photos. Define the following events for one photo (from this album) randomly selected by the phone: J = Jackrabbits appear in the photo , A = Antelope appear in the photo , D = My daughter appears in the photo , B = Bison appear in the photo , which follow the probabilities below: P(J) = .18 P(D) = .64 P(J ∩ D) = 0.08 P(J ∩ A) = 0 P(A ∪ D) = .74 P(A') = .70 P(J | B) = .375 P(A ∪ D | B) = 0 P(B') = .84 a) report the probability that antelope appear in a randomly selected photo, i.e., P(A) b) report the probability that jackrabbits appear in a randomly selected photo, given that my daughter appears in the photo. c) report the probability that bison appear in a randomly selected photo, given that jackrabbits appear in the photo, i.e., P(B|J). d) Suppose my smart phone creates a "memory" with three photos selected randomly and without replacement from the 50 photos in my Antelope Island album. What is the probability that all three photos feature my daughter (with or without wildlife)?