a.) Define all 4 of the marginal events b.) With proper notation write out all of the given probabilities c.) Make a tree diagram of all probabilities in proper notation.
a.) Define all 4 of the marginal events b.) With proper notation write out all of the given probabilities c.) Make a tree diagram of all probabilities in proper notation.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive.
a.) Define all 4 of the marginal events
b.) With proper notation write out all of the given probabilities
c.) Make a tree diagram of all probabilities in proper notation.
d.) Fill out a probability cross tabulation.
e.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug?
f.) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
Transcribed Image Text:Conditional Probability:
6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of
employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known
that those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non-
drug users (of the certain type of drug) still test positive.
a.) Define all 4 of the marginal events
b.) With proper notation write out all of the given probabilities
notation.
c.) Make a tree diagram of all probabilities in proper
d.) Fill out a probability cross tabulation.
e.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug?
f.) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use
the drug?
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