Example 3-63. A certain drug manufactured by a company is tested chemically for its toxic nature. Let the event 'the drug is toxic' be denoted by E and the event 'the chemical test reveals that the drug is toxic' be denoted by F. Let P (E) = 0, P (F | E) = P ( F IĒ ) = 1– . Then show that probability that the drug is not toxic given that the chemical test reveals that it is toxic is free from 0. %3!
Example 3-63. A certain drug manufactured by a company is tested chemically for its toxic nature. Let the event 'the drug is toxic' be denoted by E and the event 'the chemical test reveals that the drug is toxic' be denoted by F. Let P (E) = 0, P (F | E) = P ( F IĒ ) = 1– . Then show that probability that the drug is not toxic given that the chemical test reveals that it is toxic is free from 0. %3!
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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![Example 3-63. A certain drug manufactured by a company is tested chemically for its
toxic nature. Let the event 'the drug is toxic' be denoted by E and the event ´the chemical test
reveals that the drug is toxic' be denoted by F. Let P (E) = 0, P (F | E) = P ( F IĒ ) = 1– A.
Then show that probability that the drug is not toxic given that the chemical test reveals that it
is toxic is free from 0.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F069954e9-8e41-4d3d-9c00-ce7a61c02c03%2Ffc684d65-bfb3-41cf-844c-02827e9a6631%2Fi3ivmjl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 3-63. A certain drug manufactured by a company is tested chemically for its
toxic nature. Let the event 'the drug is toxic' be denoted by E and the event ´the chemical test
reveals that the drug is toxic' be denoted by F. Let P (E) = 0, P (F | E) = P ( F IĒ ) = 1– A.
Then show that probability that the drug is not toxic given that the chemical test reveals that it
is toxic is free from 0.
%3D
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