Blue Cab operates 15% of the taxis in a certain city, andGreen Cab operates the other 85%. After a nighttime hitand-run accident involving a taxi, an eyewitness said thevehicle was blue. Suppose, though, that under nightvision conditions, only 80% of individuals can correctlydistinguish between a blue and a green vehicle. What isthe (posterior) probability that the taxi at fault was blue?In answering, be sure to indicate which probability rulesyou are using. [Hint: A tree diagram might help. Note:This is based on an actual incident.]
Blue Cab operates 15% of the taxis in a certain city, andGreen Cab operates the other 85%. After a nighttime hitand-run accident involving a taxi, an eyewitness said thevehicle was blue. Suppose, though, that under nightvision conditions, only 80% of individuals can correctlydistinguish between a blue and a green vehicle. What isthe (posterior) probability that the taxi at fault was blue?In answering, be sure to indicate which probability rulesyou are using. [Hint: A tree diagram might help. Note:This is based on an actual incident.]
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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Question
Blue Cab operates 15% of the taxis in a certain city, and
Green Cab operates the other 85%. After a nighttime hitand-
run accident involving a taxi, an eyewitness said the
vehicle was blue. Suppose, though, that under night
vision conditions, only 80% of individuals can correctly
distinguish between a blue and a green vehicle. What is
the (posterior) probability that the taxi at fault was blue?
In answering, be sure to indicate which probability rules
you are using. [Hint: A tree diagram might help. Note:
This is based on an actual incident.]
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