A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 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 D.C. 40% of the time and late into L.A. 15% of the time. For airline #2, these percentages are 40% and 10%, whereas for airline #3 the percentages are 35% and 15%. 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 of a late arrival in L.A. is unaffected by what happens on the flight to D.C. [Hint: From the tip of each first-generation branch on a tree diagram, draw three second-generation branches labeled, respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.) airline #1 airline #2 airline #3
A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 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 D.C. 40% of the time and late into L.A. 15% of the time. For airline #2, these percentages are 40% and 10%, whereas for airline #3 the percentages are 35% and 15%. 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 of a late arrival in L.A. is unaffected by what happens on the flight to D.C. [Hint: From the tip of each first-generation branch on a tree diagram, draw three second-generation branches labeled, respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.) airline #1 airline #2 airline #3
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Please solve #1,#2, and #3.
![A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 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 D.C. 40% of the time and late into L.A. 15% of the time. For airline #2, these
percentages are 40% and 10%, whereas for airline #3 the percentages are 35% and 15%. 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 of a late arrival in L.A. is unaffected by
what happens on the flight to D.C. [Hint: From the tip of each first-generation branch on a tree diagram, draw three second-generation branches labeled,
respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.)
airline #1
airline #2
airline #3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7afdb6c4-3a61-4c47-91da-dfd2e9ec1a67%2F0b36916d-1276-4bdb-bf70-0950f88d13cb%2Fg30lo0h_processed.png&w=3840&q=75)
Transcribed Image Text:A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 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 D.C. 40% of the time and late into L.A. 15% of the time. For airline #2, these
percentages are 40% and 10%, whereas for airline #3 the percentages are 35% and 15%. 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 of a late arrival in L.A. is unaffected by
what happens on the flight to D.C. [Hint: From the tip of each first-generation branch on a tree diagram, draw three second-generation branches labeled,
respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.)
airline #1
airline #2
airline #3
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