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A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 40% of the time she travels on airline #1, 20% of the time on airline #2, and the remaining 40% of the time on airline # 3. For airline #1, flights are late into D.C. 40% of the time and late into L.A. 35% of the time. For airline #2, these percentages are 30% and 15%, 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 secondj ẩjtion brjaẩnẩcẩhẩsẩ ẩabeled, respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.)

A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 40% of the time she travels on airline #1, 20% of the time on airline #2, and the remaining 40% of the time on airline # 3. For airline #1, flights are late into D.C. 40% of the time and late into L.A. 35% of the time. For airline #2, these percentages are 30% and 15%, 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 secondj ẩjtion brjaẩnẩcẩhẩsẩ ẩabeled, respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal places.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 40% of the time she travels on airline #1, 20% of the time on airline #2, and the remaining 40% of the time on airline #3. For airline #1, flights are late into D.C. 40% of the time and late into L.A. 35% of the time. For airline #2, these percentages are 30% and 15%, 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 Need Help? Read It Watch It
Transcribed Image Text:A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 40% of the time she travels on airline #1, 20% of the time on airline #2, and the remaining 40% of the time on airline #3. For airline #1, flights are late into D.C. 40% of the time and late into L.A. 35% of the time. For airline #2, these percentages are 30% and 15%, 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 Need Help? Read It Watch It
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