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 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?
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 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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:e.) The species is an amphibian?
f.) The species is a reptile, endangered and not foreign?
g.) The species is not endangered?
h.) Assume the species is endangered, what's the probability that it is a bird and that it's from the U.S.?
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
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?
7. Each day, 10% of the email sent to my address is spam. If an email is actually spam,
TC
:1:
the
the spam
filter will
opam filter still togs it as spam 5% of the
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