Modern cars provide ‘blind-spot monitoring’, a light which activates when an adjacent car is detected. Unfortunately, the system is not perfect. Given that another car is in the blind spot, the blind-spot light is activated 99.9% of the time. However, the system accidentally activates even when another car is not in the blind spot, this occurs 3% of the time. Assume that another car is in one’s blind-spot 2% of the time. i What is the probability that another car is actually in the blind-spot given the light is on? ii Given the blind-spot light is off, how often is another car in the blind-spot?
Modern cars provide ‘blind-spot monitoring’, a light which activates when an adjacent car is detected. Unfortunately, the system is not perfect. Given that another car is in the blind spot, the blind-spot light is activated 99.9% of the time. However, the system accidentally activates even when another car is not in the blind spot, this occurs 3% of the time. Assume that another car is in one’s blind-spot 2% of the time. i What is the probability that another car is actually in the blind-spot given the light is on? ii Given the blind-spot light is off, how often is another car in the blind-spot?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Modern cars provide ‘blind-spot monitoring’, a light which activates when an adjacent car is detected. Unfortunately, the system is not perfect. Given that another car is in the blind spot, the blind-spot light is activated 99.9% of the time. However, the system accidentally activates even when another car is not in the blind spot, this occurs 3% of the time. Assume that another car is in one’s blind-spot 2% of the time.
i What is the
ii Given the blind-spot light is off, how often is another car in the blind-spot?
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