Determine the probability that someone who is using the lie detector is innocent if the lie detector says that he is lying.
Determine the probability that someone who is using the lie detector is innocent if the lie detector says that he is lying.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
10 friends gather around in order to try out a lie detector that they purchased. From previous experience, it is known that the lie detector is 70% reliable when used on a lying person and 90% reliable when used on someone who is innocent. Out of the 10 friends present, only 4 decide to lie. Determine the probability that someone who is using the lie detector is innocent if the lie detector says that he is lying.
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