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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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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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