9. [111.12 Points] DEVORESTAT9 2.4.068. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A friend who lives in Los Angeles makes frequent consulting trips to Washington, DC; 60% of the time she travels on airline #1, 20% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline #1, flights are late into DC. 35% of the time and late into LA 20% of the time. For airline #2, these percentages are 35% and 15%, whereas for airline #3 the percentages are 35% and 15%t If we learn that on a particular trip she arrived late at exactly one of the two destinations, what are the posterior probabilities of having flown on airlines #1, #2, and #3? Assume that the chance ofa late arrival in LA' is unaffected by what happens on the flight to DC. [Hin From the tip of each firstgeneration branch on a tree diagram, draw three secondgeneration branches labeled, respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.) airline #1 airline #2 airline #3 Need Help? _